@article{RSMUP_2003__109__283_0,
author = {Huang, Feimin and Zhao, Huijiang},
title = {On the global stability of contact discontinuity for compressible {Navier-Stokes} equations},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {283--305},
year = {2003},
publisher = {Seminario Matematico of the University of Padua},
volume = {109},
mrnumber = {1997992},
zbl = {1165.35434},
language = {en},
url = {https://www.numdam.org/item/RSMUP_2003__109__283_0/}
}
TY - JOUR AU - Huang, Feimin AU - Zhao, Huijiang TI - On the global stability of contact discontinuity for compressible Navier-Stokes equations JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2003 SP - 283 EP - 305 VL - 109 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_2003__109__283_0/ LA - en ID - RSMUP_2003__109__283_0 ER -
%0 Journal Article %A Huang, Feimin %A Zhao, Huijiang %T On the global stability of contact discontinuity for compressible Navier-Stokes equations %J Rendiconti del Seminario Matematico della Università di Padova %D 2003 %P 283-305 %V 109 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_2003__109__283_0/ %G en %F RSMUP_2003__109__283_0
Huang, Feimin; Zhao, Huijiang. On the global stability of contact discontinuity for compressible Navier-Stokes equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 109 (2003), pp. 283-305. https://www.numdam.org/item/RSMUP_2003__109__283_0/
[1] - , Similarity solutions of the nonlinear diffusion equation, Arch. rational Mech. Anal., 54 (1974), pp. 373-392. | Zbl | MR
[2] - , A class of similarity solution of the nonlinear diffusion equation, Nonlinear Analysis, T.M.A., 1 (1977), pp. 223-233. | Zbl | MR
[3] - - , On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary, to appear in Osaka J. Math. | Zbl | MR
[4] - - , A gas-solid free boundary problem for a compressible viscous gas, to appear in SIAM J. Math. Anal., 2003. | Zbl | MR
[5] - , Nonlinear diffusive phenomena of nonlinear hyperbolic systems, Chin. Ann. Math. B, 14:4 (1993), pp. 465-480. | Zbl | MR
[6] - , Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion, Commun. Math. Phys., 101 (1985), pp. 97-127. | Zbl | MR
[7] - - , Asymptotic behavior of solutions for the equations of a viscous heat-conductive gas, Proc. Japan Acad., Ser. A, 62 (1986), pp. 249-252. | Zbl | MR
[8] , Shock waves for compressible Navier-Stokes equations are stable, Comm. Pure Appl. Math., XXXIX (1986), pp. 565-594. | Zbl | MR
[9] - , Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations, Comm. Math. Phys., 118 (1988), pp. 451-465. | Zbl | MR
[10] - , Pointwise decay to contact discontinuities for systems of viscous conservation laws, Asian J. Math., 1, no. 1 (1997), pp. 34-84. | Zbl | MR
[11] - , Convergence to travelling fronts of solutions of the p-system with viscosity in the presence of a boundary, Arch. Rat. Mech. Anal., 146 (1999), pp. 1-22. | Zbl | MR
[12] - , On the stability of traveling wave solutions of a one-dimensional model system for compressible viscous gas, Japan J. Appl. Math., 2 (1985), pp. 17-25. | Zbl | MR
[13] - , Asymptotics toward the rarefaction wave of the solutions of a one-dimensional model system for compressible viscous gas, Japan J. Appl. Math., 3 (1986), pp. 1-13. | Zbl | MR
[14] - , Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas, Commun. Math. Phys., 144 (1992), pp. 325-335. | Zbl | MR
[15] - , Global asymptotics toward the rarefaction wave for solutions of viscous p-system with boundary effect, Q. Appl. Math., Vol. LVIII (2000), pp. 69-83. | Zbl | MR
[16] - , Stability of stationary solutions to the halfspace problem for the discrete Boltzmann equation with multiple collisions, Kyushu J. Math., 54, no. 2 (2000), pp. 233-255. | Zbl | MR
[17] - - , Nonlinear stability of strong rarefaction waves for compressible Navier-Stokes equations, Preprint 2002. | Zbl | MR
[18] - , Global stability of strong rarefaction waves for compressible Navier-Stokes equations with boundary effects, in preparation.
[19] - - , Asymptotic behavior of a one-dimensional compressible viscous gas with free boundary, to appear in SIAM J. Math. Anal. | Zbl | MR
[20] , On nonlinear stability of contact discontinuities, Proceeding of 5th international conferences on hyperbolic problems: theory, numerics and applications, edited by Glimm, etc., World Scientific, 1996, pp. 249-257. | Zbl | MR






