Global existence and decay estimate of solution to rate type viscoelastic fluids
DOI10.1016/J.JDE.2023.08.039zbMath1527.35254OpenAlexW4386790317MaRDI QIDQ6084164
Jianfeng Zhou, Zhong Tan, Chengfei Ai
Publication date: 31 October 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.08.039
PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility
- A model for viscoelastic fluid behavior which allows non-affine deformation
- Uniqueness theorems for the three dimensional Navier-Stokes system
- Global existence and decay estimate of solutions to magneto-micropolar fluid equations
- Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress
- Existence of solutions for all Deborah numbers for a non-Newtonian model modified to include diffusion
- A thermodynamic framework for rate-type fluid models
- Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain
- The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\)
- Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion
- About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
- Shear Banding of Complex Fluids
- On thermomechanical restrictions of continua
- On the formulation of rheological equations of state
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Decay of Dissipative Equations and Negative Sobolev Spaces
- On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response
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