@article{AIHPC_1994__11_2_159_0, author = {Hoff, David and Zarnowski, Roger}, title = {Continuous dependence in $L^2$ for discontinuous solutions of the viscous $p$-system}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {11}, year = {1994}, pages = {159-187}, mrnumber = {1267365}, zbl = {0836.35157}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1994__11_2_159_0} }
Hoff, David; Zarnowski, Roger. Continuous dependence in $L^2$ for discontinuous solutions of the viscous $p$-system. Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) pp. 159-187. http://gdmltest.u-ga.fr/item/AIHPC_1994__11_2_159_0/
[1] Distributions and Fourier Transforms, Academic Press, 1969. | Zbl 0188.18102
,[2] Construction of Solutions for Compressible, Isentropic Navier-Stokes Equations in one Space Dimension with Nonsmooth Initial Data, Proc. Royal Soc. Edinburgh, Sect. A103, 1986, pp. 301-315. | MR 866843 | Zbl 0635.35074
,[3] Global Existence for ID, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data, Trans. Amer. Math. Soc., Vol. 303, No. 11, 1987, pp. 169-181. | MR 896014 | Zbl 0656.76064
,[4] Discontinuous Solutions of the Navier-Stokes Equations for Compressible Flow, Archive Rational. Mech. Ana., Vol. 114, 1991, pp. 15-46. | MR 1088275 | Zbl 0732.35071
,[5] Global Well-Posedness of the Cauchy Problem for Nonisentropic Gas Dynamics with Discontinuous Initial Data, J. Differential Equations, Vol. 95, No. 1, 1992, pp. 33-73. | MR 1142276 | Zbl 0762.35085
,[6] Error Bounds for Glimm Difference Approximations for Scalar Conservation Laws, Trans. Amer. Math. Soc., Vol. 289, 1985, pp. 611-642. | MR 784006 | Zbl 0579.65096
and ,[7] Accuracy of Some Approximate Methods for Computing the Weak Solutions of a First-Order Quasilinear Equation, Zh. Vychisl. Math. Fiz., Vol. 16, 1976, pp. 1489-1502. | MR 483509 | Zbl 0354.35021
,[8] A Finite Difference Scheme for the Navier-Stokes Equations of Compressible, Isentropic Flow, SIAM J. on Numer. Anal., Vol. 28, 1991, pp. 78-112. | MR 1083325 | Zbl 0727.76094
and ,[9] Existence, Uniqueness, and Computation of Solutions for Mixed Problems in Compressible Flow, J. Math. Anal. and Appl., Vol. 169, No. 2, 1992, pp. 515-545. | MR 1180907 | Zbl 0777.35063
,