Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\)
From MaRDI portal
Publication:1732808
DOI10.1016/j.amc.2016.07.028zbMath1410.76477OpenAlexW2504415518MaRDI QIDQ1732808
Publication date: 25 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.07.028
PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items
On global well-posedness and decay of 3D Ericksen-Leslie system ⋮ Remarks on \(L^{2}\) decay of solutions for the third-grade non-Newtonian fluid flows in \(\mathbb{R}^{3}\) ⋮ Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations ⋮ Long time behavior of solutions of an electroconvection model in \(\mathbb{R}^2\) ⋮ Decay of solution for a 2D irrotational Mindlin-Timoshenko plate system ⋮ Optimal decay rates of weak solutions for the 2D co-rotation FENE dumbbell model of polymeric flows ⋮ Attractors of the 3D magnetohydrodynamics equations with damping ⋮ Time decay rates of the micropolar equations with zero angular viscosity ⋮ Asymptotic behavior of solutions to a class of incompressible third grade fluid equations
Cites Work
- Unnamed Item
- Unnamed Item
- Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\)
- Global Cauchy problem of 2D generalized MHD equations
- Some new regularity criteria for the 3D MHD equations
- On global existence, energy decay and blow-up criteria for the Hall-MHD system
- Remarks on regularities for the 3D MHD equations
- Global existence and finite dimensional global attractor for a 3D double viscous MHD-\(\alpha \) model
- A regularity criterion for the 2D MHD system with zero magnetic diffusivity
- Global regularity for the 2D incompressible MHD-\(\alpha\) system without full dissipation and magnetic diffusions
- On questions of decay and existence for the viscous Camassa-Holm equations
- New results of general \(n\)-dimensional incompressible Navier-Stokes equations
- Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
- On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Generalized MHD equations.
- Dissipation and decay estimates
- Large time behavior to the system of incompressible non-Newtonian fluids in \(\mathbb{R}^2\)
- Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations
- Regularity criteria for the generalized viscous MHD equations
- Decay of weak solutions to the 2D dissipative quasi-geostrophic equation
- On regularity criteria for the 2D generalized MHD system
- Large time decay and growth for solutions of a viscous Boussinesq system
- Global attractor and determining modes for a hyperbolic MHD turbulence Model
- Some mathematical questions related to the mhd equations
- Asymptotic behaviour of the solutions to the 2D dissipative quasi-geostrophic flows
- Large time behaviour of solutions to the navier-stokes equations
- Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
- Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
- Sharp Rate of Decay of Solutions to 2-Dimensional Navier-Stokes Equations
- On the decay of higher-order norms of the solutions of Navier–Stokes equations
- Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ3
- A remark on the decay of solutions to the 3‐D Navier–Stokes equations
