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Non-linear partial differential equations : an algebraic view of generalized solutions /

A massive transition of interest from solving linear partial differential equations to solving nonlinear ones has taken place during the last two or three decades. The availability of better computers has often made numerical experimentations progress faster than the theoretical understanding of non...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rosinger, Elemer E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Distributors for the United States and Canada, Elsevier Science Pub. Co., 1990.
Colección:North-Holland mathematics studies ; 164.
Temas:
Acceso en línea:Texto completo
Texto completo
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MARC

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100 1 |a Rosinger, Elemer E. 
245 1 0 |a Non-linear partial differential equations :  |b an algebraic view of generalized solutions /  |c Elem�er E. Rosinger. 
260 |a Amsterdam ;  |a New York :  |b North-Holland ;  |a New York, N.Y., U.S.A. :  |b Distributors for the United States and Canada, Elsevier Science Pub. Co.,  |c 1990. 
300 |a 1 online resource (xxi, 380 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a North-Holland mathematics studies ;  |v 164 
520 |a A massive transition of interest from solving linear partial differential equations to solving nonlinear ones has taken place during the last two or three decades. The availability of better computers has often made numerical experimentations progress faster than the theoretical understanding of nonlinear partial differential equations. The three most important nonlinear phenomena observed so far both experimentally and numerically, and studied theoretically in connection with such equations have been the solitons, shock waves and turbulence or chaotical processes. In many ways, these phenomena have presented increasing difficulties in the mentioned order. In particular, the latter two phenomena necessarily lead to nonclassical or generalized solutions for nonlinear partial differential equations. 
504 |a Includes bibliographical references (pages 371-380). 
588 0 |a Print version record. 
505 0 |a Front Cover; Non-Linear Partial Differential Equations: An Algebraic View of Generalized Solutions; Copyright Page; Table of Content; CHAPTER 1 CONFLICT BETWEEN DISCONTINUITY, MUTLIPLICATION AND DIFFERENTIATION; CHAPTER 2 GLOBAL VERSION OF THE CAUCHY KOVALEVSKAIA THEOREM ON ANALYTIC NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; CHAPTER 3 ALGEBRAIC CHARACTERIZATION FOR THE SOLVABILITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; CHAPTER 4 GENERALIZED SOLUTIONS OF SEMILINEAR WAVE EQUATIONS WITH ROUGH INITIAL VALUES. 
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533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2011.  |5 MiAaHDL 
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546 |a English. 
650 0 |a Differential equations, Partial. 
650 0 |a Differential equations, Nonlinear. 
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650 7 |a Equations diff�erentielles non lin�eaires.  |2 ram 
653 |a Differential equations 
776 0 8 |i Print version:  |a Rosinger, Elemer E.  |t Non-linear partial differential equations.  |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the United States and Canada, Elsevier Science Pub. Co., 1990  |z 0444887008  |z 9780444887009  |w (DLC) 90047848  |w (OCoLC)22451489 
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