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Systems of Conservation Laws - Yuxi Zheng

Systems of Conservation Laws

Two-Dimensional Riemann Problems

(Autor)

Buch | Hardcover
320 Seiten
2001 | 2001 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4080-4 (ISBN)
CHF 149,75 inkl. MwSt
A work that is suitbale for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. It includes a range of topics, from the treatment to results, dealing with solutions to 2D compressible Euler equations.
[see attached]
This work should serve as an excellent text for graduate students
and researchers working in the important area of partial differential
equations with a focus on problems involving conservation laws.
Written in a clear, accessible style, the book emphasizes more recent
results that will prepare readers to meet modern challenges in the
subject, that is, to carry out theoretical, numerical, and
asymptotical analysis.
Key features of this work include:
* broad range of topics, from the classical treatment to recent
results, dealing with solutions to the 2-D compressible Euler

1 Problems.- 1.0 Outline.- 1.1 Some models.- 1.2 Basic problems.- 1.3 Some solutions.- 1.4 von Neumann paradoxes.- 1.5 End notes.- I Basics in One Dimension.- 2 One-dimensional Scalar Equations.- 3 Riemann Problems.- 4 Cauchy Problems.- II Two Dimensional Theory.- 5 A 2-D Scalar Riemann Problem.- 6 The 2-D Riemann problem and Pseudo-Characteristics.- 7 Axisymmetric and Self-similar Solutions.- 8 Plausible Structures for 2-D Euler Systems.- 9 The Pressure-Gradient Equations of the Euler Systems.- 10 The Convective Systems of the Euler Systems.- 11 The Two-dimensional Burgers Equations.- III Numerical schemes.- 12 Numerical Approaches.- List of Symbols.

Reihe/Serie Progress in Nonlinear Differential Equations and Their Applications ; 38
Zusatzinfo XV, 320 p.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 0-8176-4080-0 / 0817640800
ISBN-13 978-0-8176-4080-4 / 9780817640804
Zustand Neuware
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