GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br#
COMPRESSIBLE FLUIDS

doi:10.1016/S0252-9602(12)60116-7

Abstract

Abstract:

The aims of this paper are to discuss global existence and uniqueness of strong solution for a class of isentropic compressible navier-Stokes equations with non-Newtonian in one-dimensional bounded intervals. We prove two global existence results on strong solutions of isentropic compressible Navier-Stokes equations. The first result shows only the existence. And the second one shows the existence and uniqueness result based on the first result, but the uniqueness requires some compatibility condition.

Key words: Navier-Stokes equations, isentropic compressible fluids, global strong solu-tions, vacuum, non-Newtonian potential

CLC Number:

76N10

YUAN Hong-Jun, LIU Hong-Zhi, QIAO Jie-Zeng, LI Fan-Pei. GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS[J].Acta mathematica scientia,Series B, 2012, 32(4): 1467-1486.

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References

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GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS

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