Xianpeng Hu, Dehua Wang
Published 2011-09-07Version 1
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 solutions 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.
Propagation of singularities in many-body scattering
Non-existence of classical solutions to a two-phase flow model with vacuum
Global Existence of classical solutions for a class of reaction-diffusion systems
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