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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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Bibliographic Details
Main Authors: Rosinger, Elemer E. (Author)
Corporate Authors: Elsevier Science & Technology.
Published: North-Holland ; Distributors for the United States and Canada, Elsevier Science Pub. Co.,
Publisher Address: Amsterdam ; New York : New York, N.Y., U.S.A. :
Publication Dates: 1990.
Literature type: eBook
Language: English
Series: North-Holland mathematics studies ; 164
Subjects:
Differential equations, Partial.
Differential equations, Nonlinear.
Equations aux de rive es partielles.
Equations diffe rentielles non line aires.
MATHEMATICS > Partial. > Partial.
Nichtlineare partielle Differentialgleichung.
Kongress.
Differential equations
Electronic books.
Online Access: http://www.sciencedirect.com/science/bookseries/03040208/164
Summary: 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.
Carrier Form: 1 online resource (xxi, 380 pages) : illustrations.
Bibliography: Includes bibliographical references (pages 371-380).
ISBN: 9780444887009
0444887008
9780080872759
0080872751
Index Number: QA377
CLC: O175.2
Contents: 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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