Systems of conservation laws : two-dimensional Riemann problems / Yuxi Zheng.

Format:

Book

Author/Creator:

Zheng, Yuxi, 1963-

Series:

Progress in nonlinear differential equations and their applications ; v. 38.

Progress in nonlinear differential equations and their applications ; v. 38

Language:

English

Subjects (All):

Conservation laws (Mathematics).

Fluid dynamics.

Physical Description:

xv, 317 pages : illustrations ; 25 cm.

Place of Publication:

Boston : Birkhäuser, [2001]

Summary:

This work should serve as an introductory text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. The only requisite for the reader is a knowledge of the elementary theory of partial differential equations. Key features of this work include: -- * broad range of topics, from the classical treatment to recent results, dealing with solutions to 2D compressible Euler equations -- * good review of basic concepts (1-D Riemann problems) -- * concrete solutions presented, with many examples, over 100 illustrations, open problems, and numerical schemes -- * numerous exercises, comprehensive bibliography and index -- * appeal to a wide audience of applied mathematicians, graduate students, physicists, and engineers 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.

Notes:

Includes bibliographical references (pages [291]-306) and index.

ISBN:

0817640800

OCLC:

42726079