Nonlinear Partial Differential Equations For Future Applications

Author : Shigeaki Koike,Hideo Kozono,Takayoshi Ogawa,Shigeru Sakaguchi
Publisher : Springer Nature
Page : 267 pages
File Size : 51,6 Mb
Release : 2021-04-16
Category : Mathematics
ISBN : 9789813348226

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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.

Author : Shigeaki Koike,Hideo Kozono,Takayoshi Ogawa,Shigeru Sakaguchi
Publisher : Unknown
Page : 0 pages
File Size : 41,5 Mb
Release : 2021
Category : Electronic
ISBN : 9813348232

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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. .

Author : W. F. Ames
Publisher : Academic Press
Page : 332 pages
File Size : 50,5 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483221502

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Nonlinear Partial Differential Equations by W. F. Ames Pdf

Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications. Separating 19 lectures into chapters, this book starts with a presentation of the methods of similarity analysis, particularly considering the merits, advantages and disadvantages of the methods. The subsequent chapters describe the fundamental ideas behind the methods for the solution of partial differential equation derived from the theory of dynamic programming and from finite systems of ordinary differential equations. These topics are followed by reviews of the principles to the lubrication approximation and compressible boundary-layer flow computation. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer. The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. This book will prove useful to applied mathematicians, physicists, and engineers.

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 602 pages
File Size : 49,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781489928467

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Nonlinear Partial Differential Equations for Scientists and Engineers by Lokenath Debnath Pdf

This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.

Author : J. M. Chadam
Publisher : Unknown
Page : 220 pages
File Size : 41,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662193728

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Nonlinear Partial Differential Equations and Applications by J. M. Chadam Pdf

Author : Tomás Roubicek
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 53,7 Mb
Release : 2006-01-17
Category : Mathematics
ISBN : 9783764373979

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Nonlinear Partial Differential Equations with Applications by Tomás Roubicek Pdf

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.

Author : Boling Guo,Dadi Yang
Publisher : World Scientific
Page : 268 pages
File Size : 49,6 Mb
Release : 1998-10-30
Category : Electronic
ISBN : 9789814544269

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Nonlinear Partial Differential Equations and Applications by Boling Guo,Dadi Yang Pdf

Contents: Direct and Inverse Diffraction by Periodic Structures (G Bao)Weak Flow of H-Systems (Y-M Chen)Strongly Compact Attractor for Dissipative Zakharov Equations (B-L Guo et al.)C∞-Solutions of Generalized Porous Medium Equations (M Ôtani & Y Sugiyama)Cauchy Problem for Generalized IMBq Equation (G-W Chen & S-B Wang)Inertial Manifolds for a Nonlocal Kuramoto–Sivashinsky Equation (J-Q Duan et al.)Weak Solutions of the Generalized Magnetic Flow Equations (S-H He & Z-D Dai)The Solution of Hammerstein Integral Equation Without Coercive Conditions (Y-L Shu)Global Behaviour of the Solution of Nonlinear Forest Evolution Equation (D-J Wang)Uniqueness of Generalized Solutions for Semiconductor Equations (J-S Xing & Y Hu)On the Vectorial Hamilton–Jacobi System (B-S Yan)An Integrable Hamiltonian System Associated with cKdV Hierarchy (J-S Zhang et al.)and other papers Readership: Mathematicians. Keywords:Diffraction;Weak Flow;Zakharov Equations;Porous Medium Equations;Cauchy Problem;IMBq Equation;Kuramoto-Sivashinsky Equation;Magnetic Flow Equations;Hammerstein Integral Equation;Nonlinear Forest Evolution Equation;Uniqueness;Generalized Solutions;Semiconductor Equations;Hamilton–Jacobi System;Hamiltonian System;cKdV Hierarchy

Author : Donatella Danielli
Publisher : American Mathematical Soc.
Page : 133 pages
File Size : 53,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821837405

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Recent Developments in Nonlinear Partial Differential Equations by Donatella Danielli Pdf

This volume contains research and expository articles based on talks presented at the 2nd Symposium on Analysis and PDEs, held at Purdue University. The Symposium focused on topics related to the theory and applications of nonlinear partial differential equations that are at the forefront of current international research. Papers in this volume provide a comprehensive account of many of the recent developments in the field. The topics featured in this volume include: kinetic formulations of nonlinear PDEs; recent unique continuation results and their applications; concentrations and constrained Hamilton-Jacobi equations; nonlinear Schrodinger equations; quasiminimal sets for Hausdorff measures; Schrodinger flows into Kahler manifolds; and parabolic obstacle problems with applications to finance. The clear and concise presentation in many articles makes this volume suitable for both researchers and graduate students.

Author : Guangchang Dong
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 45,7 Mb
Release : 1991
Category : Mathematics
ISBN : 0821845543

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Nonlinear Partial Differential Equations of Second Order by Guangchang Dong Pdf

Addresses a class of equations central to many areas of mathematics and its applications. This book addresses a general approach that consists of the following: choose an appropriate function space, define a family of mappings, prove this family has a fixed point, and study various properties of the solution.

Author : Yihong Du
Publisher : World Scientific
Page : 202 pages
File Size : 48,8 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812566249

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Order Structure and Topological Methods in Nonlinear Partial Differential Equations by Yihong Du Pdf

The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,8 Mb
Release : 1965
Category : Electronic
ISBN : OCLC:567155455

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Applications of Nonlinear Partial Differential Equations in Mathematical Physics by Anonim Pdf

Author : Luis A. Caffarelli,François Golse,Yan Guo,Carlos E. Kenig,Alexis Vasseur
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 42,8 Mb
Release : 2012-02-02
Category : Mathematics
ISBN : 9783034801911

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Nonlinear Partial Differential Equations by Luis A. Caffarelli,François Golse,Yan Guo,Carlos E. Kenig,Alexis Vasseur Pdf

The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger and wave equations. The book describes in a careful and expository manner several powerful methods from recent top research articles.

Author : Mi-Ho Giga,Yoshikazu Giga,Jürgen Saal
Publisher : Birkhäuser
Page : 294 pages
File Size : 42,8 Mb
Release : 2010-06-17
Category : Mathematics
ISBN : 0817641734

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Nonlinear Partial Differential Equations by Mi-Ho Giga,Yoshikazu Giga,Jürgen Saal Pdf

This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.

Author : H. Fujita,P.D. Lax,G. Strang
Publisher : Elsevier
Page : 456 pages
File Size : 43,5 Mb
Release : 2000-04-01
Category : Mathematics
ISBN : 0080871925

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Nonlinear Partial Differential Equations in Applied Science by H. Fujita,P.D. Lax,G. Strang Pdf

Nonlinear Partial Differential Equations in Applied Science

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,6 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789814467476

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Nonlinear Systems of Partial Differential Equations by Anonim Pdf