Hyperbolicity, entropies, shock waves

1. Some models 2. Scalar equations in dimension d = 1 3. Linear and quasi-linear systems 4. Dimension d = 1, the Riemann problem 5. Glimm's method 6. Second order perturbations 7. Viscosity profiles of shock waves Bibliography Index.

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[50]  D. Hoff Invariant regions for systems of conservation laws , 1985 .

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[57]  STABILITY OF SHOCK PROFILES FOR NONCONVEX SCALAR VISCOUS CONSERVATION LAWS , 1995 .

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[63]  P. Lax Hyperbolic systems of conservation laws II , 1957 .

[64]  M. Slemrod Dynamic phase transitions in a van der Waals fluid , 1981 .

[65]  J. Glimm Solutions in the large for nonlinear hyperbolic systems of equations , 1965 .

[66]  E. Tadmor Local error estimates for discontinuous solutions of nonlinear hyperbolic equations , 1991 .

[67]  Sergiu Klainerman,et al.  Global existence for nonlinear wave equations , 1980 .

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[69]  C. Dafermos,et al.  Development of singularities in solutions of the equations of nonlinear thermoelasticity , 1986 .