Analysis Of Singularities For Partial Differential Equations
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Analysis Of Singularities For Partial Differential Equations
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Author : Shuxing Chen
language : en
Publisher: World Scientific
Release Date : 2011
Analysis Of Singularities For Partial Differential Equations written by Shuxing Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.
Singularities Formation Structure And Propagation
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Author : J. Eggers
language : en
Publisher: Cambridge University Press
Release Date : 2015-09-10
Singularities Formation Structure And Propagation written by J. Eggers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-10 with Mathematics categories.
This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.
Seminar On Singularities Of Solutions Of Linear Partial Differential Equations
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Author : George F. Oster
language : en
Publisher: Princeton University Press
Release Date : 1979-07-21
Seminar On Singularities Of Solutions Of Linear Partial Differential Equations written by George F. Oster and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-07-21 with Mathematics categories.
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.
Differential Equations Asymptotic Theory In Mathematical Physics
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Author : Zhen Hua
language : en
Publisher: World Scientific
Release Date : 2004
Differential Equations Asymptotic Theory In Mathematical Physics written by Zhen Hua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures. Readers are brought up to date with exciting recent developments in the areas of asymptotic analysis, singular perturbations, orthogonal polynomials, and the application of Gevrey asymptotic expansion to holomorphic dynamical systems. The book also features important invited papers presented at the conference. Leading experts in the field cover a diverse range of topics from partial differential equations arising in cancer biology to transonic shock waves.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Partial Differential Equations
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Author : Walter A. Strauss
language : en
Publisher: John Wiley & Sons
Release Date : 2007-12-21
Partial Differential Equations written by Walter A. Strauss and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-21 with Mathematics categories.
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
General Theory Of Partial Differential Equations And Microlocal Analysis
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Author : Min-You Qi
language : en
Publisher: CRC Press
Release Date : 1996-05-20
General Theory Of Partial Differential Equations And Microlocal Analysis written by Min-You Qi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-20 with Mathematics categories.
Differential Geometry Of Curves And Surfaces With Singularities
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Author : Masaaki Umehara
language : en
Publisher: Algebraic and Differential Geo
Release Date : 2021-09
Differential Geometry Of Curves And Surfaces With Singularities written by Masaaki Umehara and has been published by Algebraic and Differential Geo this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09 with Mathematics categories.
This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields - singularity theory and differential geometry. The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through research by the authors, the Gauss-Bonnet theorem for surfaces is generalized to those with singularities. The Gauss-Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities. These topics, as well as elementary descriptions of proofs of the recognition theorems, cannot be found in other books. Explicit examples and models are provided in abundance, along with insightful explanations of the underlying theory as well. Numerous figures and exercise problems are given, becoming strong aids in developing an understanding of the material. Readers will gain from this text a unique introduction to the singularities of curves and surfaces from the viewpoint of differential geometry, and it will be a useful guide for students and researchers interested in this subject.
Theorems On Regularity And Singularity Of Energy Minimizing Maps
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Author : Leon Simon
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Theorems On Regularity And Singularity Of Energy Minimizing Maps written by Leon Simon and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and asymptotics on approach to the singular set. Specialized knowledge in partial differential equations or the geometric calculus of variations is not required; a good general background in mathematical analysis would be adequate preparation.
Lectures On Linear Partial Differential Equations
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Author : Grigoriĭ Ilʹich Eskin
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Lectures On Linear Partial Differential Equations written by Grigoriĭ Ilʹich Eskin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory.
Partial Differential Equations And Their Applications
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Author : Peter Charles Greiner
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-01-01
Partial Differential Equations And Their Applications written by Peter Charles Greiner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
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