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

Author: Elemer E Rosinger
Publisher: Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the United States and Canada, Elsevier Science Pub. Co., 1990.
Series: North-Holland mathematics studies, 164.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Rosinger, Elemer E.
Non-linear partial differential equations.
Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the United States and Canada, Elsevier Science Pub. Co., 1990
(DLC) 90047848
(OCoLC)22451489
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Elemer E Rosinger
ISBN: 9780444887009 0444887008 9780080872759 0080872751
OCLC Number: 316570225
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
Description: 1 online resource (xxi, 380 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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.
Series Title: North-Holland mathematics studies, 164.
Responsibility: Elemér E. Rosinger.

Abstract:

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.

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