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Author : Y. W. Chen
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.78/5 ( download)
Download or read book Reflection Laws of Linear Differential Equations of Mixed Type written by Y. W. Chen and published by . This book was released on 1956 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Y. W. Chen
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.15/5 ( download)
Download or read book Hoelder Continuity and Initial Value Problems for Mixed Type Equations (II) written by Y. W. Chen and published by . This book was released on 1958 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gui-Qiang G Chen
Publisher : Princeton University Press
ISBN 13 : 1400885434
Total Pages : 832 pages
Book Rating : 4.35/5 ( download)
Download or read book The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures written by Gui-Qiang G Chen and published by Princeton University Press. This book was released on 2018-02-27 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws—PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This involves dealing with several core difficulties in the analysis of nonlinear PDEs—mixed type, free boundaries, and corner singularities—that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities.
Author : Robert Dillon Brown
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.15/5 ( download)
Download or read book Reflection Laws of Fourth Order Elliptic Differential Equations in Two Independent Variables written by Robert Dillon Brown and published by . This book was released on 1963 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: California U. Berkeley. ON THE REFLECTION LAWS OF FOURTH ORDER ELLIPTIC DIFFERENTIAL EQUATIONS IN TWO INDEPENDENT VARIABLES, by R.D. Brown Oct 62, 58p. incl. illus. 7 refs. (Technical rept. no. 18) (Contract Nonr-22262) Unclassified r port DESCRIPTORS: *Partial differential equations, *Real variables, *Mathematical analysis. Identifiers: Analytic continuation, Elliptic PDE. A study is made of the analytic continuation of solutions of elliptic partial differential equations in two independent variables across an analytic boundary on which they satisfy further analytic equations connecting the point of the boundary and the values of the solution and of various of its partial derivatives. I this report a general type of fourth order elliptic equation with co stant coefficients is considered. (Author).
Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1001 pages
Book Rating : 4./5 ( download)
Download or read book written by and published by World Scientific. This book was released on with total page 1001 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gui-Qiang G Chen
Publisher : Princeton University Press
ISBN 13 : 0691160554
Total Pages : 829 pages
Book Rating : 4.59/5 ( download)
Download or read book The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures written by Gui-Qiang G Chen and published by Princeton University Press. This book was released on 2018-02-27 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws—PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This involves dealing with several core difficulties in the analysis of nonlinear PDEs—mixed type, free boundaries, and corner singularities—that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities.
Author : Joaquin B. Diaz
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.74/5 ( download)
Download or read book Reflection Principles for Linear Elliptic Second Order Partial Differential Equations with Constant Coefficients written by Joaquin B. Diaz and published by . This book was released on 1954 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflection principles, analogous to the classical Schwarz reflection principle for harmonic functions, are obtained for solutions of linear elliptic second order partial differential equations with constant coefficients. The boundary conditions employed are supposed to be satisfied in a limiting sense only, and do not require (a priori) the existence of derivatives on the boundary.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.69/5 ( download)
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1957 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rassias John Michael
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103647
Total Pages : 152 pages
Book Rating : 4.41/5 ( download)
Download or read book Mixed Type Partial Differential Equations, Lecture Notes On written by Rassias John Michael and published by World Scientific Publishing Company. This book was released on 1990-08-30 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.
Author : John Michael Rassias
Publisher : World Scientific
ISBN 13 : 9789810204068
Total Pages : 160 pages
Book Rating : 4.6X/5 ( download)
Download or read book Lecture Notes on Mixed Type Partial Differential Equations written by John Michael Rassias and published by World Scientific. This book was released on 1990 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.
