FORMATION OF SINGULARITY FOR COMPRESSIBLE VISCOELASTICITY

doi:10.1016/S0252-9602(12)60007-1

Abstract

Abstract:

The formation of singularity and breakdown of classical solutions to the three-dimensional compressible viscoelasticity and inviscid elasticity are considered. For the compressible inviscid elastic fluids, the finite-time formation of singularity in classical solu-tions is proved for certain initial data. For the compressible viscoelastic fluids, a criterion in term of the temporal integral of the velocity gradient is obtained for the breakdown of smooth solutions.

Key words: compressible viscoelastic fluid, inviscid elasticity, local classical solution, formation of singularity, blowup, breakdown

CLC Number:

35A05

Xianpeng Hu, Dehua Wang. FORMATION OF SINGULARITY FOR COMPRESSIBLE VISCOELASTICITY[J].Acta mathematica scientia,Series B, 2012, 32(1): 109-128.

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