Continuous dependence on initial data For discontinuous solutions of the Navier-Stokes equations for one-dimensional, compressible flow

SIAM Journal on Mathematical Analysis

Volumn 27, Issue 5, 1996, Pages 1193-1211

  Hoff, David ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

Continuous dependence; Discontinuous solutions; Navier Stokes equations

Indexed keywords

EID: 0030486696     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/0527066     Document Type: Article

References (4)

1. D. HOFF, Discontinuous solutions of the Navier-Stokes equations for compressible flow, Arch. Rational Mech. Anal., 114 (1991), pp. 15-46.
2. _, Global well-posedness of the Cauchy problem for nonisentropic gas dynamics with discontinuous initial data, J. Differential Equations, 95 (1992), pp. 33-73.
3. 2 for discontinuous solutions of the viscous p-system, Ann. Inst. H. Poincaré Anal. Non Linéare, 11 (1994), pp. 154-187.
4. J. ZHAO AND D. HOFF, A convergent finite difference scheme for the Navier-Stokes equations of one-dimensional, nonisentropic flow, SIAM J. Numer. Anal., 31 (1994), pp. 1289-1311.