On shock wave theory
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A survey of qualitative shock wave theory can be found in this paper, which is meant to explain some of the key issues close to the interest of the author and raise open questions.Abstract:
We survey the qualitative shock wave theory. The survey is meant to explain some of the key issues close to the interest of the author and raise open questions.read more
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Journal ArticleDOI
Linear and nonlinear waves, by G. B. Whitham. Pp.636. £50. 1999. ISBN 0 471 35942 4 (Wiley).
TL;DR: To the best of our knowledge, there is only one application of mathematical modelling to face recognition as mentioned in this paper, and it is a face recognition problem that scarcely clamoured for attention before the computer age but, having surfaced, has attracted the attention of some fine minds.
Shock waves in gas dynamics.
TL;DR: In this paper, the authors present a survey with references about various topics related to shock waves: Hyperbolic conservation laws, well-posedness theory, Compactness Theory, Shock and reaction-diusion wave, The CJ and ZND theory, Existence of detonation in Majda's model, Premixed laminar Lame, Multidimensional gas (MGL) problem, and multidimensional Riemann problem.
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Comparision of the definitions of generalized solution of the Cauchy problem for quasi-linear equation
TL;DR: In this article, the authors consider and compare different definitions of generalized solution of the Cauchy problem for 1d-scalar quasilinear equation (conservation law).
References
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Book
Linear and Nonlinear Waves
TL;DR: In this paper, a general overview of the nonlinear theory of water wave dynamics is presented, including the Wave Equation, the Wave Hierarchies, and the Variational Method of Wave Dispersion.
Book
Shock Waves and Reaction-Diffusion Equations
TL;DR: In this paper, the basics of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by Charles Conley, are presented in a way accessible to a wider audience than just mathematicians.
Book
Supersonic flow and shock waves
Richard Courant,Kurt Friedrichs +1 more
TL;DR: In this article, the authors proposed a method to compressible ecoulement for compressible compressible and supersonique and onde de choc Reference Record created on 2005-11-18, modified on 2016-08-08
Journal ArticleDOI
Linear and nonlinear waves, by G. B. Whitham. Pp.636. £50. 1999. ISBN 0 471 35942 4 (Wiley).
TL;DR: To the best of our knowledge, there is only one application of mathematical modelling to face recognition as mentioned in this paper, and it is a face recognition problem that scarcely clamoured for attention before the computer age but, having surfaced, has attracted the attention of some fine minds.