Formation of singularity for compressible viscoelasticity

DOI10.1016/S0252-9602(12)60007-1zbMath1265.76002arXiv1109.1332MaRDI QIDQ1931156

Xianpeng Hu, Dehua Wang

Publication date: 24 January 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1332

zbMATH Keywords

blowupbreakdownlocal classical solutionformation of singularitycompressible viscoelastic fluidinviscid elasticity

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Blow-up in context of PDEs (35B44) Classical solutions to PDEs (35A09)

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Global existence for a model of inhomogeneous incompressible elastodynamics in 2D ⋮ On Rayleigh-Taylor instability in nonhomogeneous incompressible elasticity fluids ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ Optimal time-decay rate of global classical solutions to the generalized compressible Oldroyd-B model ⋮ Well-posedness of the free boundary problem in compressible elastodynamics ⋮ On the vortex sheets of compressible flows ⋮ Stabilization effect of elasticity on three-dimensional compressible vortex sheets

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