Strong Solutions to the Three-Dimensional Compressible Viscoelastic Fluids

2010/01/19 by Xianpeng Hu, Dehua Wang, Hu, Xianpeng +1 · 3 citations
Engineering · Mathematics · #35A05 #76A10 #76D03 #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1001.3426

openalex publication_date 2010/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The existence and uniqueness of the local strong solution to the three-dimensional compressible viscoelastic fluids near the equilibrium is established. In addition to the uniform estimates on the velocity, some essential uniform estimates on the density and the deformation gradient are also obtained.

Cited by

• Diffusion wave phenomena and optimal time decay for incompressible viscoelastic flows
• Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model
• A blow-up criterion for 3-D compressible visco-elasticity

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