Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (4): 601-620.
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SONG Hong-Li, GUO Zhen-Hua
Received:
2012-06-28
Revised:
2013-05-22
Online:
2013-08-25
Published:
2013-08-25
Supported by:
国家自然科学基金(11071195)资助
CLC Number:
SONG Hong-Li, GUO Zhen-Hua. Existence of Global Strong Solutions and Interface Behavior of Solutions for 1D Compressible Navier-Stokes Equations
with Free Boundary Value Problem[J].Acta mathematica scientia,Series A, 2013, 33(4): 601-620.
[1] Feireisl E, Novotn\'{y} A, Petzeltov\'{a} H. On the existence of globally defined weak solutions to the Navier-Stokes equations of isentropic compressible fluids. J Math Fluid Mech, 2001, 3(4): 358--392 [2] Hoff D. Global existence for 1D, compressible, isentropic Navier-Stokes equations with large initial data. Trans Amer Math Soc, 1987, 303(1): 169--181 [3] Hoff D, Serre D. The failure of continuous dependence on initial data for the Navier-Stokes equations of compressible flow. SIAM J Math Anal, 1991, 51(4): 887--898 [6] Guo Z H, He W. Interface behavior of compressible Navier-Stokes equations with discontinuous boundary conditions and vacuum. Acta Math Sci, 2011, 31B(3): 934--952 |
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