Nonlinear Pdes Their Geometry And Applications

Nonlinear Pdes Their Geometry And Applications Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Nonlinear Pdes Their Geometry And Applications book. This book definitely worth reading, it is an incredibly well-written.

Nonlinear PDEs, Their Geometry, and Applications

Radosław A. Kycia,Maria Ułan,Eivind Schneider
Nonlinear PDEs Their Geometry and Applications Book PDF

Author : Radosław A. Kycia,Maria Ułan,Eivind Schneider
Publisher : Springer
Page : 279 pages
File Size : 50,6 Mb
Release : 2019-05-18
Category : Mathematics
ISBN : 9783030170318

Get Book

Nonlinear PDEs, Their Geometry, and Applications by Radosław A. Kycia,Maria Ułan,Eivind Schneider Pdf

This volume presents lectures given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures in the first part of this volume were delivered by experts in nonlinear differential equations and their applications to physics. Original research articles from members of the school comprise the second part of this volume. Much of the latter half of the volume complements the methods expounded in the first half by illustrating additional applications of geometric theory of differential equations. Various subjects are covered, providing readers a glimpse of current research. Other topics covered include thermodynamics, meteorology, and the Monge–Ampère equations. Researchers interested in the applications of nonlinear differential equations to physics will find this volume particularly useful. A knowledge of differential geometry is recommended for the first portion of the book, as well as a familiarity with basic concepts in physics.

Geometric Analysis of Nonlinear Partial Differential Equations

Valentin Lychagin,Joseph Krasilshchik
Geometric Analysis of Nonlinear Partial Differential Equations Book PDF

Author : Valentin Lychagin,Joseph Krasilshchik
Publisher : MDPI
Page : 204 pages
File Size : 53,8 Mb
Release : 2021-09-03
Category : Mathematics
ISBN : 9783036510460

Get Book

Geometric Analysis of Nonlinear Partial Differential Equations by Valentin Lychagin,Joseph Krasilshchik Pdf

This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.

Nonlinear Partial Differential Equations in Geometry and Physics

Garth Baker,Alexandre Freire
Nonlinear Partial Differential Equations in Geometry and Physics Book PDF

Author : Garth Baker,Alexandre Freire
Publisher : Birkhäuser
Page : 166 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034888950

Get Book

Nonlinear Partial Differential Equations in Geometry and Physics by Garth Baker,Alexandre Freire Pdf

This volume presents the proceedings of a series of lectures hosted by the Math ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "Nonlinear Partial Differential Equations in Geometry and Physics" . While the relevance of partial differential equations to problems in differen tial geometry has been recognized since the early days of the latter subject, the idea that differential equations of differential-geometric origin can be useful in the formulation of physical theories is a much more recent one. Perhaps the earliest emergence of systems of nonlinear partial differential equations having deep geo metric and physical importance were the Einstein equations of general relativity (1915). Several basic aspects of the initial value problem for the Einstein equa tions, such as existence, regularity and stability of solutions remain prime research areas today. eighty years after Einstein's work. An even more recent development is the realization that structures originally the context of models in theoretical physics may turn out to have introduced in important geometric or topological applications. Perhaps its emergence can be traced back to 1954, with the introduction of a non-abelian version of Maxwell's equations as a model in elementary-particle physics, by the physicists C.N. Yang and R. Mills. The rich geometric structure ofthe Yang-Mills equations was brought to the attention of mathematicians through work of M.F. Atiyah, :"J. Hitchin, I.

Applications of Analytic and Geometric Methods to Nonlinear Differential Equations

P.A. Clarkson
Applications of Analytic and Geometric Methods to Nonlinear Differential Equations Book PDF

Author : P.A. Clarkson
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401120821

Get Book

Applications of Analytic and Geometric Methods to Nonlinear Differential Equations by P.A. Clarkson Pdf

In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the `soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the self-dual Yang--Mills (SDYM) equations, a four-dimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied. Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations. Consequently what seems to be emerging is that a natural, physically significant system such as the SDYM equations provides the basis for a unifying framework underlying this class of integrable systems, i.e. `soliton' systems. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations. Painlevé analysis of partial differential equations, studies of the Painlevé equations and symmetry reductions of nonlinear partial differential equations. (ABSTRACT) In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years; the inverse scattering transform (IST), for `soliton' equations and twistor theory, for the self-dual Yang--Mills (SDYM) equations. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. Additionally, it contains articles on perturbed soliton equations, Painlevé analysis of partial differential equations, studies of the Painlevé equations and symmetry reductions of nonlinear partial differential equations.

New Tools for Nonlinear PDEs and Application

Marcello D'Abbicco,Marcelo Rempel Ebert,Vladimir Georgiev,Tohru Ozawa
New Tools for Nonlinear PDEs and Application Book PDF

Author : Marcello D'Abbicco,Marcelo Rempel Ebert,Vladimir Georgiev,Tohru Ozawa
Publisher : Springer
Page : 390 pages
File Size : 53,9 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9783030109370

Get Book

New Tools for Nonlinear PDEs and Application by Marcello D'Abbicco,Marcelo Rempel Ebert,Vladimir Georgiev,Tohru Ozawa Pdf

This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions "Recent progress in evolution equations" and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Växjö, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs.

Nonlinear PDE’s and Applications

Stefano Bianchini,Eric A. Carlen,Alexander Mielke,Cédric Villani
Nonlinear PDE s and Applications Book PDF

Author : Stefano Bianchini,Eric A. Carlen,Alexander Mielke,Cédric Villani
Publisher : Springer
Page : 224 pages
File Size : 45,9 Mb
Release : 2011-07-30
Category : Mathematics
ISBN : 9783642218613

Get Book

Nonlinear PDE’s and Applications by Stefano Bianchini,Eric A. Carlen,Alexander Mielke,Cédric Villani Pdf

This volume collects the notes of the CIME course "Nonlinear PDE’s and applications" held in Cetraro (Italy) on June 23–28, 2008. It consists of four series of lectures, delivered by Stefano Bianchini (SISSA, Trieste), Eric A. Carlen (Rutgers University), Alexander Mielke (WIAS, Berlin), and Cédric Villani (Ecole Normale Superieure de Lyon). They presented a broad overview of far-reaching findings and exciting new developments concerning, in particular, optimal transport theory, nonlinear evolution equations, functional inequalities, and differential geometry. A sampling of the main topics considered here includes optimal transport, Hamilton-Jacobi equations, Riemannian geometry, and their links with sharp geometric/functional inequalities, variational methods for studying nonlinear evolution equations and their scaling properties, and the metric/energetic theory of gradient flows and of rate-independent evolution problems. The book explores the fundamental connections between all of these topics and points to new research directions in contributions by leading experts in these fields.

Fuchsian Reduction

Satyanad Kichenassamy
Fuchsian Reduction Book PDF

Author : Satyanad Kichenassamy
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 55,5 Mb
Release : 2007-09-14
Category : Mathematics
ISBN : 9780817646370

Get Book

Fuchsian Reduction by Satyanad Kichenassamy Pdf

This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra, or as a resource for researchers working with applications to Fuchsian Reduction. The comprehensive approach features the inclusion of problems and bibliographic notes.

Geometric Partial Differential Equations - Part I

Anonim
Geometric Partial Differential Equations Part I Book PDF

Author : Anonim
Publisher : Elsevier
Page : 710 pages
File Size : 51,7 Mb
Release : 2020-01-14
Category : Mathematics
ISBN : 9780444640048

Get Book

Geometric Partial Differential Equations - Part I by Anonim Pdf

Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs

Nonlinear Partial Differential Equations for Future Applications

Shigeaki Koike,Hideo Kozono,Takayoshi Ogawa,Shigeru Sakaguchi
Nonlinear Partial Differential Equations for Future Applications Book PDF

Author : Shigeaki Koike,Hideo Kozono,Takayoshi Ogawa,Shigeru Sakaguchi
Publisher : Springer Nature
Page : 267 pages
File Size : 48,9 Mb
Release : 2021-04-16
Category : Mathematics
ISBN : 9789813348226

Get Book

Nonlinear Partial Differential Equations for Future Applications by Shigeaki Koike,Hideo Kozono,Takayoshi Ogawa,Shigeru Sakaguchi Pdf

This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan. The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation for viscous compressible Navier–Stokes equations, new estimates for a compressible Gross–Pitaevskii–Navier–Stokes system, singular limits for the Keller–Segel system in critical spaces, the dynamic programming principle for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems, and new insight on topology of nodal sets of high-energy eigenfunctions of the Laplacian. This book aims to exhibit various theories and methods that appear in the study of nonlinear partial differential equations.

Nonlinear partial differential equations in differential geometry

Robert Hardt
Nonlinear partial differential equations in differential geometry Book PDF

Author : Robert Hardt
Publisher : American Mathematical Soc.
Page : 356 pages
File Size : 40,6 Mb
Release : 1996
Category : Mathematics
ISBN : 0821804316

Get Book

Nonlinear partial differential equations in differential geometry by Robert Hardt Pdf

This book contains lecture notes of minicourses at the Regional Geometry Institute at Park City, Utah, in July 1992. Presented here are surveys of breaking developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are also leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background than current research articles.

Geometric Analysis of Nonlinear Partial Differential Equations

Valentin Lychagin,Joseph Krasilshchik
Geometric Analysis of Nonlinear Partial Differential Equations Book PDF

Author : Valentin Lychagin,Joseph Krasilshchik
Publisher : Unknown
Page : 204 pages
File Size : 42,6 Mb
Release : 2021
Category : Electronic
ISBN : 3036510478

Get Book

Geometric Analysis of Nonlinear Partial Differential Equations by Valentin Lychagin,Joseph Krasilshchik Pdf

This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.

Partial Differential Equations III

Michael E. Taylor
Partial Differential Equations III Book PDF

Author : Michael E. Taylor
Publisher : Springer Science & Business Media
Page : 734 pages
File Size : 46,5 Mb
Release : 2010-11-02
Category : Mathematics
ISBN : 9781441970497

Get Book

Partial Differential Equations III by Michael E. Taylor Pdf

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis

Geometric Methods in PDE’s

Giovanna Citti,Maria Manfredini,Daniele Morbidelli,Sergio Polidoro,Francesco Uguzzoni
Geometric Methods in PDE s Book PDF

Author : Giovanna Citti,Maria Manfredini,Daniele Morbidelli,Sergio Polidoro,Francesco Uguzzoni
Publisher : Springer
Page : 373 pages
File Size : 47,6 Mb
Release : 2015-10-31
Category : Mathematics
ISBN : 9783319026664

Get Book

Geometric Methods in PDE’s by Giovanna Citti,Maria Manfredini,Daniele Morbidelli,Sergio Polidoro,Francesco Uguzzoni Pdf

The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts who took part in the INdAM meeting "Geometric methods in PDEs", on the occasion of the 70th birthday of Ermanno Lanconelli. They describe a number of new achievements and/or the state of the art in their discipline of research, providing readers an overview of recent progress and future research trends in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with an emphasis on comparing different methodologies and on their implications for theory and applications.

Nonlinear Analysis, Geometry and Applications

Diaraf Seck,Kinvi Kangni,Philibert Nang,Marie Salomon Sambou
Nonlinear Analysis Geometry and Applications Book PDF

Author : Diaraf Seck,Kinvi Kangni,Philibert Nang,Marie Salomon Sambou
Publisher : Springer Nature
Page : 462 pages
File Size : 53,8 Mb
Release : 2020-11-20
Category : Mathematics
ISBN : 9783030573362

Get Book

Nonlinear Analysis, Geometry and Applications by Diaraf Seck,Kinvi Kangni,Philibert Nang,Marie Salomon Sambou Pdf

This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24–28, 2019. The four-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation, control theory, and mathematical modeling.

Nonlinear Partial Differential Equations in Geometry and Physics

Garth Baker,Alexandre S. Freire
Nonlinear Partial Differential Equations in Geometry and Physics Book PDF

Author : Garth Baker,Alexandre S. Freire
Publisher : Birkhauser
Page : 153 pages
File Size : 45,5 Mb
Release : 1997-01-01
Category : Differential equations, Nonlinear
ISBN : 0817654933

Get Book

Nonlinear Partial Differential Equations in Geometry and Physics by Garth Baker,Alexandre S. Freire Pdf

This volume contains survey lectures in four different areas, delivered by leading researchers at the 1995 Barrett Lectures held at the University of Tennessee: nonlinear hyperbolic systems arising in field theory and relativity (S. Klainerman); harmonic maps from Minkowski spacetime (M. Struwe); dynamics of vortices in the Ginzburg-Landau model of superconductivity (F.-H. Lin); the Seiberg-Witten equations and their application to problems in four-dimensional topology (R. Fintushel). Most of this material has not previously been available in survey form. These lectures provide an up-to-date overview and an introduction to the research literature in each of these areas, which should prove useful to researchers and graduate students in mathematical physics, partial differential equations, differential geometry and topology.