Shock Waves and Reaction—Diffusion Equations

Häftad, Engelska, 2012

Av Joel Smoller

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these general notions are useful in con structing travelling waves for systems of nonlinear equations. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves.

Produktinformation

Utgivningsdatum2012-10-08
Mått155 x 235 x 39 mm
Vikt1 012 g
FormatHäftad
SpråkEngelska
SerieGrundlehren der mathematischen Wissenschaften
Antal sidor634
Upplaga2
FörlagSpringer-Verlag New York Inc.
ISBN9781461269298

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Beräkning och matematisk analys inom Naturvetenskap och teknik

1 Ill-Posed Problems.- 2 Characteristics and Initial-Value Problems.- 3 The One-Dimensional Wave Equation.- 4 Uniqueness and Energy Integrals.- 5 Holmgren’s Uniqueness Theorem.- 6 An Initial-Value Problem for a Hyperbolic Equation.- 7 Distribution Theory.- 8 Second-Order Linear Elliptic Equations.- 9 Second-Order Linear Parabolic Equations.- 10 Comparison Theorems and Monotonicity Methods.- 11 Linearization.- 12 Topological Methods.- 13 Bifurcation Theory.- 14 Systems of Reaction-Diffusion Equations.- 15 Discontinuous Solutions of Conservation Laws.- 16 The Single Conservation Law.- 17 The Riemann Problem for Systems of Conservation Laws.- 18 Applications to Gas Dynamics.- 19 The Glimm Difference Scheme.- 20 Riemann Invariants, Entropy, and Uniqueness.- 21 Quasi-Linear Parabolic Systems.- 22 The Conley Index.- 23 Index Pairs and the Continuation Theorem.- 24 Travelling Waves.- 25 Recent Results.- Author Index.