Sharp Rates of Decay and Global-in-Time Stability of Large Solutions to The Three-Dimensional Incompressible Phan-Thien–Tanner System of Polymeric Flows
DOI10.1137/21m1435161zbMath1527.35267OpenAlexW4386891254MaRDI QIDQ6073319
Qinghe Yao, Zheng-An Yao, Minling Li, Yuhui Chen
Publication date: 17 October 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1435161
Navier-Stokes equationslarge solutionsglobal-in-time stabilityPhan-Thien-Tanner systemsharp upper and lower bounds of decay rates
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Statistical mechanics of polymers (82D60) Viscoelastic fluids (76A10)
Cites Work
- Unnamed Item
- Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system
- Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable
- Global existence of weak solutions to macroscopic models of polymeric flows
- Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
- Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter
- Global solutions for incompressible viscoelastic fluids
- Remarks on the blowup criteria for Oldroyd models
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- A new consitutive equation derived from network theory
- Global solutions for some Oldroyd models of non-Newtonian flows
- Global well-posedness for the three-dimensional generalized Phan-Thien-Tanner model in critical Besov spaces
- Global well-posedness and decay rates for the three dimensional compressible Oldroyd-B model
- Blow up and global existence for the periodic Phan-Thein-Tanner model
- Global stability of large solutions to the 3D compressible Navier-Stokes equations
- Stability to the global large solutions of 3-D Navier-Stokes equations
- Strong solutions of the equations for viscoelastic fluids in some classes of large data
- About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
- Global Solutions to the Oldroyd-B Model with a Class of Large Initial Data
- Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows
- On the decay and stability of global solutions to the 3-D inhomogeneous Navier-Stokes equations
- Global Existence of Strong Solution for Equations Related to the Incompressible Viscoelastic Fluids in the Critical $L^p$ Framework
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Existence results for the flow of viscoelastic fluids with a differential constitutive law
- Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
- Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
- Relative Entropy, Weak-Strong Uniqueness, and Conditional Regularity for a Compressible Oldroyd--B Model
- Optimal decay rates for solutions to the incompressible Oldroyd-B model in $\mathbb{R}^3$
- Global Existence of Large Data Weak Solutions for a Simplified Compressible Oldroyd--B Model Without Stress Diffusion
- The Cauchy problem for an Oldroyd-B model in three dimensions
- Global well-posedness for the Phan-Thein-Tanner model in critical Besov spaces without damping
- On the initial‐boundary value problem of the incompressible viscoelastic fluid system
- On hydrodynamics of viscoelastic fluids
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