Waves And Boundary Problems
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Waves And Boundary Problems
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Author : Sergey G. Glebov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-06-11
Waves And Boundary Problems written by Sergey G. Glebov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-11 with Mathematics categories.
This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations.
Electromagnetic Wave Theory For Boundary Value Problems
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Author : Hyo J. Eom
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Electromagnetic Wave Theory For Boundary Value Problems written by Hyo J. Eom and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
Electromagnetic wave theory is based on Maxwell's equations, and electromagnetic boundary-value problems must be solved to understand electromagnetic scattering, propagation, and radiation. Electromagnetic theory finds practical applications in wireless telecommunications and microwave engineering. This book is written as a text for a two-semester graduate course on electromagnetic wave theory. As such, Electromagnetic Wave Theory for Boundary-Value Problems is intended to help students enhance analytic skills by solving pertinent boundary-value problems. In particular, the techniques of Fourier transform, mode matching, and residue calculus are utilized to solve some canonical scattering and radiation problems.
Fourier Analysis And Boundary Value Problems
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Author : Enrique A. Gonzalez-Velasco
language : en
Publisher: Elsevier
Release Date : 1996-11-28
Fourier Analysis And Boundary Value Problems written by Enrique A. Gonzalez-Velasco and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-28 with Mathematics categories.
Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. - Topics are covered from a historical perspective with biographical information on key contributors to the field - The text contains more than 500 exercises - Includes practical applications of the equations to problems in both engineering and physics
Bernoulli Free Boundary Problems
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Author : Eugene Shargorodsky
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Bernoulli Free Boundary Problems written by Eugene Shargorodsky 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 2008 with Mathematics categories.
Questions of existence, multiplicity, and regularity of free boundaries for prescribed data need to be addressed and their solutions lead to nonlinear problems. In this paper an equivalence is established between Bernoulli free-boundary problems and a class of equations for real-valued functions of one real variable.
Nonlinear Evolution Equations And Related Topics
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Author : Wolfgang Arendt
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-08-20
Nonlinear Evolution Equations And Related Topics written by Wolfgang Arendt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-20 with Mathematics categories.
Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.
Geometric Measure Theory And Free Boundary Problems
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Author : Guido De Philippis
language : en
Publisher: Springer Nature
Release Date : 2021-03-23
Geometric Measure Theory And Free Boundary Problems written by Guido De Philippis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Mathematics categories.
This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school “Geometric Measure Theory and Applications – From Geometric Analysis to Free Boundary Problems” which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading to applications to the Stefan problem, this volume will be of interest to students and researchers in mathematical analysis and its applications.
Solutions To Problems Of Controlling Long Waves With The Help Of Micro Structure Tools
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Author : Vladimir V. Arabadzhi
language : en
Publisher: Bentham Science Publishers
Release Date : 2011
Solutions To Problems Of Controlling Long Waves With The Help Of Micro Structure Tools written by Vladimir V. Arabadzhi and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
"In recent times the idea of cloaking has become very popular. After radar and sonar were discovered, problems of ""visibility"" reduction for physical bodies in air (by electromagnetic waves) or in water (by acoustical waves) have immediately become serious"
Unified Transform For Boundary Value Problems
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Author : Athanasios S. Fokas
language : en
Publisher: SIAM
Release Date : 2014-12-30
Unified Transform For Boundary Value Problems written by Athanasios S. Fokas and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-30 with Mathematics categories.
This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs.? The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.
Waves And Boundary Problems
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Author : Sergey G. Glebov
language : en
Publisher: ISSN
Release Date : 2018
Waves And Boundary Problems written by Sergey G. Glebov and has been published by ISSN this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
This book presents new methods for the construction of global asymptotics of solutions to nonlinear equations with small parameter. With these methods it is possible to match various asymptotic quantities in transition regions and to get unified for
Mixed Problems For The Wave Equation In Coordinate Domains
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Author : Aleksandr Mikhaĭlovich Blokhin
language : en
Publisher: Nova Publishers
Release Date : 1998
Mixed Problems For The Wave Equation In Coordinate Domains written by Aleksandr Mikhaĭlovich Blokhin and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Contents: Mixed problems for the wave equation in co-ordinate corner with additional condition on edge; Well-posedness of mixed problems for wave equation and general hyperbolic equation of second order in co-ordinate corner; Ill-posedness examples in mixed problem; Mixed problem for wave equation in co-ordinate corner -- problem (B0). Solvability condition. Exact solution. A priori estimate in W1/2 (R ); Obtaining of a priori estimate in mixed problems for the multidimensional wave equation.