Systems of Conservation Laws: Two-Dimensional Riemann Problems [Softcover reprint of the original 1st ed. 2001] 1461266319, 978-1-4612-6631-0, 978-1-4612-0141-0, 1461201411

This work is based on the lecture notes of the course M742: Topics in Partial Dif- ferential Equations, which I taught i

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English Pages 320 [322] Year 2001

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Systems of Conservation Laws: Two-Dimensional Riemann Problems [Softcover reprint of the original 1st ed. 2001]
1461266319, 978-1-4612-6631-0, 978-1-4612-0141-0, 1461201411

Author / Uploaded
Brezis
Haim; Zheng
Yuxi

Table of contents :
Front Matter....Pages i-xv
Problems....Pages 1-9
Front Matter....Pages 11-11
One-dimensional Scalar Equations....Pages 13-22
Riemann Problems....Pages 23-47
Cauchy Problems....Pages 49-82
Front Matter....Pages 83-83
A 2-D Scalar Riemann Problem....Pages 85-107
The 2-D Riemann problem and Pseudo-Characteristics....Pages 109-118
Axisymmetric and Self-similar Solutions....Pages 119-193
Plausible Structures for 2-D Euler Systems....Pages 195-210
The Pressure-Gradient Equations of the Euler Systems....Pages 211-226
The Convective Systems of the Euler Systems....Pages 227-233
The Two-dimensional Burgers Equations....Pages 235-261
Front Matter....Pages 263-263
Numerical Approaches....Pages 265-290
Back Matter....Pages 291-320

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