Curved shocks as viscous limits: A boundary problem approach

Indiana University Mathematics Journal

Volumn 51, Issue 2, 2002, Pages 421-450

  Guès, Olivier ^a   Williams, Mark ^a  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

Author keywords

Multidimensional shocks; Stability; Viscous boundary layers

Indexed keywords

EID: 0036057861     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. Convergence of the viscosity method for isentropic gas dynamics
2. Partial differential equations
3. Etude des conditions aux limites pour un système strictement hyperbolique, via l'approximation parabolique
4. Nonlinear asymptotic stability of viscous shock profiles for conservation laws
5. Viscous limits for piecewise smooth solutions to systems of conservation laws
6. Boundary layers viscous perturbations of noncharacteristic Quasi-linear hyperbolic problems
7. Perturbations visqueuses de problemes mixtes hyperboliques et couches limites
8. Asymptotic behavior of dissipative systems
9. Bifurcations and trajectories joining critical points
10. Initial boundary value problems and the Navier-Stokes equations
11. Nonlinear stability of shock waves for viscous conservation laws
12. Compressible fluid flow and systems of conservation laws in several space variables
13. The stability of multidimensional shock fronts
14. The existence of multidimensional shock fronts
15. Spaces BV and quasilinear equations
16. Highly oscillatory multidimensional shocks
17. Boundary layers and glancing blow-up in nonlinear geometric optics
18. Zero-dissipation limit of solutions with shocks for systems of hyperbolic conservation laws
19. Multidimensional stability of planar viscous shock waves
20. Pointwise semigroup methods and stability of viscous shock waves
21. Viscous and inviscid stability of multidimensional planar shock fronts