A blow-up criterion for 3-D compressible visco-elasticity

2012/02/16 by Yi Du, Chun Liu, Du, Yi +3
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1202.3693

openalex publication_date 2012/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we shall prove a blow-up criteria in terms of the upper bound of the density, deformation tensor and the gradient of deformation tensor for 3D compressible visco-elasticity. Based on the structure of deformation tensor, we find a cancelation in higher order derivatives, which brings us the desired results.

Citations

• Strong Solutions to the Three-Dimensional Compressible Viscoelastic Fluids
• Formation of singularity for compressible viscoelasticity

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