Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences, Band 152) - Softcover

Holden, Helge; Risebro, Nils H.

 
9783642627972: Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences, Band 152)
Softcover
ISBN 10: 3642627978 ISBN 13: 9783642627972
Verlag: Springer, 2014

Inhaltsangabe

This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research.

The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. Inhomogeneous equations and equations with diffusive terms are included as well as a discussion of convergence rates, and coverage of the classical theory of Kruzkov and Kuznetsov. Systems of conservation laws in one dimension are treated in detail, starting with the solution of the Riemann problem.

The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.

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Über die Autorin bzw. den Autor

Helge Holden is professor of mathematics at the Norwegian University of Science and Technology and an adjunct professor at the Center of Mathematics for Applications, part of the University of Oslo.  He has done extensive research in stochastic analysis, in particular in its application to flow in porous media. Nils Henrik Risebro is professor of mathematics at the University of Oslo. His research interests are mainly nonlinear partial differential equations and numerical methods for these. He has also worked on conservation laws with discontinuous coefficients in a variety of applications.

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Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
3642627978
ISBN 13 
9783642627972
Einband
Taschenbuch
Anzahl der Seiten
380
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