Hyperbolic Partial Differential Equations and Wave Phenomena

• Author : Mitsuru Ikawa
• Publisher : American Mathematical Soc.
• Release : 11 August 2022

This book is one of a growing list of good student-oriented titles representing a subseries within the larger Translations series. These are excellent translations of top Japanese mathematics, packaged in convenient paperback editions that are very reasonably priced for the bookseller and undergraduate markets. This current title will easily do the same.

• Author : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations
• Publisher : American Mathematical Soc.
• Release : 01 October 2010

This volume presents the state of the art in several directions of research conducted by renowned mathematicians who participated in the research program on Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, during the academic year 2008-09. The main theme of the volume is nonlinear partial differential equations that model a wide variety of wave phenomena. Topics discussed include systems of conservation laws, compressible Navier-Stokes equations, Navier-Stokes-Korteweg type

• Author : Miroslaw Kozlowski,Janina Marciak-Kozlowska
• Publisher : Springer
• Release : 27 September 2006

This book is based on the results of our interest in the ?eld of ultrashort laser pulses interaction with matter. The aim of our monograph was to build the balanced description of the thermal transport phenomena generated by laser pulses shorter than the characteristic relaxation time. In the book we explore the matter on the quark, nuclear as well atomic scales. Also on the cosmic scale (Planck Era) the thermal disturbance shorter than the Planck time creates the new picture

• Author : Lawrence C. Evans
• Publisher : American Mathematical Soc.
• Release : 11 August 2022

This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography.

• Author : Pascal Cherrier,Albert Milani
• Publisher : American Mathematical Society
• Release : 14 July 2022

This book considers evolution equations of hyperbolic and parabolic type. These equations are studied from a common point of view, using elementary methods, such as that of energy estimates, which prove to be quite versatile. The authors emphasize the Cauchy problem and present a unified theory for the treatment of these equations. In particular, they provide local and global existence results, as well as strong well-posedness and asymptotic behavior results for the Cauchy problem for quasi-linear equations. Solutions of linear

• Author : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations
• Publisher : Unknown Publisher
• Release : 11 August 2022

• Author : A. M. Vinogradov
• Publisher : American Mathematical Soc.
• Release : 16 October 2001

This book is dedicated to fundamentals of a new theory, which is an analog of affine algebraic geometry for (nonlinear) partial differential equations. This theory grew up from the classical geometry of PDE's originated by S. Lie and his followers by incorporating some nonclassical ideas from the theory of integrable systems, the formal theory of PDE's in its modern cohomological form given by D. Spencer and H. Goldschmidt and differential calculus over commutative algebras (Primary Calculus). The main result of

• Author : Helmut Florian
• Publisher : World Scientific
• Release : 11 August 2022

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today''s rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as

• Author : H Florian,W Tutschke,N Ortner,F J Schnitzer
• Publisher : World Scientific
• Release : 12 November 2001

Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations. This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as

• Author : Wijesuriya P. Dayawansa,Anders Lindquist,Yishao Zhou
• Publisher : Springer Science & Business Media
• Release : 31 August 2005

This volume contains a collection of papers in control theory and applications presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, held in Lubbock, Texas, November 14-15, 2003.

• Author : Matthew P. Coleman
• Publisher : CRC Press
• Release : 19 April 2016

An Introduction to Partial Differential Equations with MATLAB, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat,

• Author : Robert M. Miura
• Publisher : Springer
• Release : 14 November 2006

Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974

• Author : Gabi Ben-Dor,Ozer Igra,Tov Elperin
• Publisher : Elsevier
• Release : 18 October 2000

The Handbook of Shock Waves contains a comprehensive, structured coverage of research topics related to shock wave phenomena including shock waves in gases, liquids, solids, and space. Shock waves represent an extremely important physical phenomena which appears to be of special practical importance in three major fields: compressible flow (aerodynamics), materials science, and astrophysics. Shock waves comprise a phenomenon that occurs when pressure builds to force a reaction, i.e. sonic boom that occurs when a jet breaks the speed

• Author : Svetozar Margenov,Lubin Vulkov
• Publisher : Springer Science & Business Media
• Release : 09 March 2009

the conference participants. We also thank M. Koleva for the help in putting together the book.

• Author : Heinrich G. W. Begehr,Robert Pertsch Gilbert,Man Wah Wong
• Publisher : World Scientific
• Release : 11 August 2022

The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.