Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (3): 934-952.doi: 10.1016/S0252-9602(11)60287-7
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GUO Zhen-Hua, HE Wen
Received:
2009-06-19
Online:
2011-05-20
Published:
2011-05-20
Supported by:
Supported in part by the NSFC (10771170).
CLC Number:
GUO Zhen-Hua, HE Wen. INTERFACE BEHAVIOR OF COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS AND VACUM[J].Acta mathematica scientia,Series B, 2011, 31(3): 934-952.
[1] Guo Z H, Jiang S, Xie F. Global existence and asymptotic behavior of weak solutions to the 1D compressible Navier-Stokes equations with degenerate viscosity coefficient. Asympotic Analysis, 2008, 60: 101--123 [2] Guo Z H, Zhu C J. Remarkes on one-dimensional compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Acta Mathematica Sinica, English Series, 2010, 26(10): 2015--2030 [3] Guo Z H, Zhu C J. Global weak solutions and asympotic behavior to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum. J Differ Equ, 2010, 248: 2768--2799 [4] Guo Z H, Jiu Q S, Xin Z P. Spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. SIAM J Math Anal, 2008, 39: 1402--1427 [5] Hoff D. Global existence for 1D compressible isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data. Proc Roy Soc Edinburgh Sect A, 1986, 103: 301--305 [6] Hoff D.Strong convergence to global solutions for multidimensional flows of compressible, viscous fludies with polytropic equations of state and discontinuous initial data. Arch Rational Mech Anal, 1995, 132: 1--14 |
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