Asymptotic Analysis And Singularities Elliptic And Parabolic Pdes And Related Problems

Author : Hideo Kozono
Publisher : Unknown
Page : 430 pages
File Size : 50,8 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015075621436

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Asymptotic Analysis and Singularities: Elliptic and parabolic PDEs and related problems by Hideo Kozono Pdf

This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Author : Takashi Suzuki
Publisher : Springer
Page : 444 pages
File Size : 52,8 Mb
Release : 2015-11-19
Category : Mathematics
ISBN : 9789462391543

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Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model by Takashi Suzuki Pdf

Mean field approximation has been adopted to describe macroscopic phenomena from microscopic overviews. It is still in progress; fluid mechanics, gauge theory, plasma physics, quantum chemistry, mathematical oncology, non-equilibirum thermodynamics. spite of such a wide range of scientific areas that are concerned with the mean field theory, a unified study of its mathematical structure has not been discussed explicitly in the open literature. The benefit of this point of view on nonlinear problems should have significant impact on future research, as will be seen from the underlying features of self-assembly or bottom-up self-organization which is to be illustrated in a unified way. The aim of this book is to formulate the variational and hierarchical aspects of the equations that arise in the mean field theory from macroscopic profiles to microscopic principles, from dynamics to equilibrium, and from biological models to models that arise from chemistry and physics.

Author : Takashi Suzuki
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 45,8 Mb
Release : 2009-01-01
Category : Mathematics
ISBN : 9789491216220

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MEAN FIELD THEORIES AND DUAL VARIATION by Takashi Suzuki Pdf

A mathematical theory is introduced in this book to unify a large class of nonlinear partial differential equation (PDE) models for better understanding and analysis of the physical and biological phenomena they represent. The so-called mean field approximation approach is adopted to describe the macroscopic phenomena from certain microscopic principles for this unified mathematical formulation. Two key ingredients for this approach are the notions of “duality” according to the PDE weak solutions and “hierarchy” for revealing the details of the otherwise hidden secrets, such as physical mystery hidden between particle density and field concentration, quantized blow up biological mechanism sealed in chemotaxis systems, as well as multi-scale mathematical explanations of the Smoluchowski–Poisson model in non-equilibrium thermodynamics, two-dimensional turbulence theory, self-dual gauge theory, and so forth. This book shows how and why many different nonlinear problems are inter-connected in terms of the properties of duality and scaling, and the way to analyze them mathematically.

Author : Marius Ghergu,Vicentiu Radulescu
Publisher : Unknown
Page : 322 pages
File Size : 55,7 Mb
Release : 2008-04-24
Category : Mathematics
ISBN : STANFORD:36105131662970

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Singular Elliptic Problems by Marius Ghergu,Vicentiu Radulescu Pdf

This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations. There are carefully analyzed logistic type equations with boundary blow-up solutions and generalized Lane-Emden-Fowler equations or Gierer-Meinhardt systems with singular nonlinearity in anisotropic media. These nonlinear problems appear as mathematical models in various branches of Physics, Mechanics, Genetics, Economics, Engineering, and they are also relevant in Quantum Physics and Differential Geometry. One of the main purposes of this volume is to deduce decay rates for general classes of solutions in terms of estimates of particular problems. Much of the material included in this volume is devoted to the asymptotic analysis of solutions and to the qualitative study of related bifurcation problems. Numerical approximations illustrate many abstract results of this volume. A systematic description of the most relevant singular phenomena described in these lecture notes includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity. The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear singular phenomena

Author : Hideo Kozono
Publisher : Unknown
Page : 416 pages
File Size : 55,8 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015075621444

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Asymptotic Analysis and Singularities: Hyperbolic and dispersive PDEs and fluid mechanics by Hideo Kozono Pdf

This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Author : W. L. Marar
Publisher : CRC Press
Page : 228 pages
File Size : 43,9 Mb
Release : 1995-10-18
Category : Mathematics
ISBN : 0582277809

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Real and Complex Singularities by W. L. Marar Pdf

Much progress has been made recently in a number of areas by the application of new geometrical methods arising from advances in singularity theory. This collection of invited papers presented at the 3rd International Workshop on Real and Complex Singularities, held in August 1994 at ICMSC-USP (Sao Carlos), documents the geometric study of singularities and its applications.

Author : Toshisumi Fukui,Shuichi Izumiya,Satoshi Koike,Toshisumi Fukuda
Publisher : CRC Press
Page : 236 pages
File Size : 47,8 Mb
Release : 1997-12-12
Category : Mathematics
ISBN : 0582328748

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Real Analytic and Algebraic Singularities by Toshisumi Fukui,Shuichi Izumiya,Satoshi Koike,Toshisumi Fukuda Pdf

This book contains a collection of papers covering recent progress in a number of areas of singularity theory. Topics include blow analyticity, recent progress in the research on equivalence relations of maps and functions, sufficiency of jets, and the transversality theorem. . Geometric and analytic studies of partial differential equations have been developed independently of one another, but the shock wave solutions appearing in natural phenomena are not well understood. Singularity theory may unify these studies and a survey based on this viewpoint is presented in which a new notion of weak solution is introduced. There are also reports on the recent progress in Zariski's conjecture on multiplicities of hypersurfaces, transcendency of analytic sets and on the topology of weighted homogeneous polynomials. This book will be of particular interest to specialists in singularities, partial differential equations, algebraic geometry and control theory.

Author : Kentaro Hori,Changzheng Li,Si Li,Kyoji Saito
Publisher : Unknown
Page : 444 pages
File Size : 47,5 Mb
Release : 2019
Category : Mathematics
ISBN : UCSD:31822044306827

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Primitive Forms and Related Subjects by Kentaro Hori,Changzheng Li,Si Li,Kyoji Saito Pdf

This volume contains the proceedings of the conference ``Primitive Forms and Related Subjects'', held at the Kavli Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo, February 10-14, 2014. The principal aim of the conference was to discuss the current status of rapidly developing subjects related to primitive forms. In particular, Fukaya category, Gromov-Witten and FJRW invariants, mathematical formulation of Landau-Ginzburg models, and mirror symmetry were discussed. The conference had three introductory courses by.experts and 12 lectures on more advanced topics. This volume volume contains two survey articles and 11 research articles based on the conference presentations.

Author : Laurent Veron
Publisher : CRC Press
Page : 396 pages
File Size : 52,9 Mb
Release : 1996-08-01
Category : Mathematics
ISBN : 0582035392

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Singularities of Solutions of Second-Order Quasilinear Equations by Laurent Veron Pdf

This text examines the singularity problem for solutions of elliptic and parabolic quasilinear equations of second order.

Author : Anatoly Golberg,Peter Kuchment,David Shoikhet
Publisher : Springer Nature
Page : 319 pages
File Size : 49,5 Mb
Release : 2023-04-26
Category : Mathematics
ISBN : 9783031254246

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Harmonic Analysis and Partial Differential Equations by Anatoly Golberg,Peter Kuchment,David Shoikhet Pdf

Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Author : Shigeki Akiyama
Publisher : Unknown
Page : 586 pages
File Size : 53,6 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015075622871

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Probability and Number Theory--Kanazawa 2005 by Shigeki Akiyama Pdf

This volume is the Proceedings of the international conference on Probability and Number Theory held at Kanazawa, Japan, in June 2005, and includes several survey articles on probabilistic number theory, and research papers on various recent topics around the border area between probability theory and number theory. This volume is useful for all researchers and graduate students who are interested in probability theory and number theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Author : Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita
Publisher : Advanced Studies in Pure Mathe
Page : 528 pages
File Size : 43,9 Mb
Release : 2008
Category : Mathematics
ISBN : UOM:39015075648991

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Surveys on Geometry and Integrable Systems by Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita Pdf

The articles in this volume provide a panoramic view of the role of geometry in integrable systems, firmly rooted in surface theory but currently branching out in all directions.The longer articles by Bobenko (the Bonnet problem), Dorfmeister (the generalized Weierstrass representation), Joyce (special Lagrangian 3-folds) and Terng (geometry of soliton equations) are substantial surveys of several aspects of the subject. The shorter ones indicate more briefly how the classical ideas have spread throughout differential geometry, symplectic geometry, algebraic geometry, and theoretical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Author : Kazuhiro Konno,Viet Nguyen-Khac
Publisher : Unknown
Page : 366 pages
File Size : 55,6 Mb
Release : 2008
Category : Mathematics
ISBN : UOM:39015075621295

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Algebraic Geometry in East Asia by Kazuhiro Konno,Viet Nguyen-Khac Pdf

This volume contains two survey articles and eight research articles contributed by the invited lecturers at the conference Algebraic Geometry in East Asia. II, which was held at the Conference Hall (Hanoi, Vietnam) from October 10-14, 2005. Topics touched upon in this volume include Zariski pairs, rational homogeneous manifolds, Kummer surfaces, singularity theory, Cremona groups, algebraic curves, dual varieties, Castelnuovo-Weil lattices, etc. The reader can not only find the current status of a variety of research topics but also enjoy the art of the subjects presented by leading algebraic geometers.

Author : Saber Elaydi
Publisher : Advanced Studies in Pure Mathe
Page : 422 pages
File Size : 49,5 Mb
Release : 2009
Category : Mathematics
ISBN : UOM:39015075685464

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Advances in Discrete Dynamical Systems by Saber Elaydi Pdf

This volume contains the proceedings of talks presented at the 11th International Conference on Difference Equations and Applications (ICDEA 2006). ICDEA 2006 was held on July 2006 in Kyoto at the 15th MSJ International Research Institute. These proceedings comprise new results at the leading edge of many areas in difference equations and discrete dynamical systems and their various applications to the sciences, engineering, physics, and economics.

Author : Anonim
Publisher : Unknown
Page : 892 pages
File Size : 48,7 Mb
Release : 2008
Category : Mathematics
ISBN : UOM:39015082440762

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Mathematical Reviews by Anonim Pdf