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Volumn 26, Issue 5-6, 2001, Pages 965-981

Compressible Navier-Stokes equations with density-dependent viscosity and vacuum

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EID: 0000895412     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-100002385     Document Type: Article
Times cited : (189)

References (17)
  • 2
    • 0003138434 scopus 로고
    • Asymptotic theory of the Boltzmann equation II
    • (ed. J. Laurmann), New York Academic Press
    • H. Grad, Asymptotic theory of the Boltzmann equation II. In: Rarefied gas dynamics, 1(ed. J. Laurmann), New York Academic Press (1963), 26-59.
    • (1963) Rarefied Gas Dynamics , vol.1 , pp. 26-59
    • Grad, H.1
  • 3
    • 21844497460 scopus 로고
    • Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
    • D. Hoff, Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data, Arch. Rat. Mech. Anal., 132(1995), 1-14.
    • (1995) Arch. Rat. Mech. Anal. , vol.132 , pp. 1-14
    • Hoff, D.1
  • 4
    • 0026207013 scopus 로고
    • The failure of continuous dependence on initial data for the Navier-Stokes equations of compressible flow
    • D. Hoff and D. Serre, The failure of continuous dependence on initial data for the Navier-Stokes equations of compressible flow, SIAM J. Appl. Math., 51(1991), 887-898.
    • (1991) SIAM J. Appl. Math. , vol.51 , pp. 887-898
    • Hoff, D.1    Serre, D.2
  • 5
    • 0001390578 scopus 로고
    • The inviscid limit for the Navier-Stokes equations of compressible isentropic flow with shock data
    • D. Hoff and T.-P. Liu, The inviscid limit for the Navier-Stokes equations of compressible isentropic flow with shock data, Indiana Univ. Math. J., 38(1989), 861-915.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 861-915
    • Hoff, D.1    Liu, T.-P.2
  • 6
    • 0000235656 scopus 로고    scopus 로고
    • Global smooth solutions of the equations of a viscous, heat-conducting, one-dimensional gas with density-dependent viscosity
    • S. Jiang, Global smooth solutions of the equations of a viscous, heat-conducting, one-dimensional gas with density-dependent viscosity, Math. Nachr., 190(1998), 169-183.
    • (1998) Math. Nachr. , vol.190 , pp. 169-183
    • Jiang, S.1
  • 9
    • 0034178643 scopus 로고    scopus 로고
    • Interface behavior of compressible Navier-Stokes equations with vacumm
    • T. Luo, Z. Xin and T. Yang, Interface behavior of compressible Navier-Stokes equations with vacumm, SIAM J. Math. Anal., 1999.
    • (1999) SIAM J. Math. Anal.
    • Luo, T.1    Xin, Z.2    Yang, T.3
  • 10
    • 77957028939 scopus 로고
    • On a local existence theorem for the evolution equations of gaseous stars
    • Ed. T. Nishida, M. Mimura and H. Fujii, North-Holland
    • T. Makino, On a local existence theorem for the evolution equations of gaseous stars, "Patterns and wave-qualitative analysis of nonlinear differential equations", Ed. T. Nishida, M. Mimura and H. Fujii, North-Holland, 1986, 459-479.
    • (1986) Patterns and Wave-qualitative Analysis of Nonlinear Differential Equations , pp. 459-479
    • Makino, T.1
  • 11
    • 84990611389 scopus 로고
    • Equations of fluid dynamic s-free surface problems
    • T. Nishida, Equations of fluid dynamic s-free surface problems, Comm. Pure Appl. Math., XXXIX (1986), 221-238.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 221-238
    • Nishida, T.1
  • 13
    • 0000470158 scopus 로고
    • Free boundary value problems for the equation of one-dimensional motion of viscous gas
    • M. Okada, Free boundary value problems for the equation of one-dimensional motion of viscous gas, Japan J. Appl. Math., 6(1989), 161-177.
    • (1989) Japan J. Appl. Math. , vol.6 , pp. 161-177
    • Okada, M.1
  • 14
    • 0000236035 scopus 로고
    • Free boundary problem for the equations of spherically symmetrical motion of viscous gas
    • M. Okada and T. Makino, Free boundary problem for the equations of spherically symmetrical motion of viscous gas, Japan J. Indust. Appl. Math., 10(1993), 219-235.
    • (1993) Japan J. Indust. Appl. Math. , vol.10 , pp. 219-235
    • Okada, M.1    Makino, T.2
  • 16
    • 0001620268 scopus 로고
    • Sur l'équation mondimensionnelle d'un fluide visqueux, compressible et conducteur de chaleur
    • D. Serre, Sur l'équation mondimensionnelle d'un fluide visqueux, compressible et conducteur de chaleur, Comptes rendus Acad. des Sciences. 303(1986), 703-706.
    • (1986) Comptes Rendus Acad. des Sciences. , vol.303 , pp. 703-706
    • Serre, D.1
  • 17
    • 0032358560 scopus 로고    scopus 로고
    • Blow-up of smooth solutions to the compressible Navier-Stokes equations with compact density
    • Z. Xin, Blow-up of smooth solutions to the compressible Navier-Stokes equations with compact density, Comm. Pure Appl. Math., 51(1998), 229-240.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 229-240
    • Xin, Z.1


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