Singularly Perturbed Boundary-Value Problems

It is well known that many phenomena in biology, chemistry, engineering, physics canbedescribedbyboundaryvalueproblemsassociatedwithvarioustypes ofp- tial di?erential equations or systems. When we associate a mathematical model with a phenomenon, we generally try to capture what is essential, retain...

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Autori principali: Barbu, Lumini—ta, Moro—sanu, Gheorghe (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edizione:1st ed. 2007.
Serie:International Series of Numerical Mathematics 156
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Nota: L'impression du document génère 237 p.
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Edition sous un autre format:• Singularly perturbed Boundary-Value problems, Luminiţa Barbu and Gheorghe Moroşanu, Basel, Birkhäuser, Springer, 2007, 1 vol. (XIII-230 p.), International series of numerical mathematics, 978-3-7643-8330-5
Sommario:
  • Preliminaries Regular and Singular Perturbations Evolution Equations in Hilbert Spaces Singularly Perturbed Hyperbolic Problems Presentation of the Problems Hyperbolic Systems with Algebraic Boundary Conditions Hyperbolic Systems with Dynamic Boundary Conditions Singularly Perturbed Coupled Boundary Value Problems Presentation of the Problems The Stationary Case The Evolutionary Case Elliptic and Hyperbolic Regularizations of Parabolic Problems Presentation of the Problems The Linear Case The Nonlinear Case