On the temporal decay of solutions to a coupled parabolic-elliptic equations in \(\mathbb{R}^2\)

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Magnetohydrodynamics and electrohydrodynamics (76W05) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO
Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation
Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces
Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
Local existence for the non-resistive MHD equations in Besov spaces
\(L^ 2\) decay for weak solutions of the Navier-Stokes equations
Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion
Large-time behaviour of solutions to the magneto-hydrodynamics equations
Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
Global well-posedness of a 3D Stokes-magneto equations with fractional magnetic diffusion
Large time behavior of solutions to a Stokes-Magneto equations in three dimensions
On Moffatt's magnetic relaxation equations
Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
On the movement of a space-filling viscous liquid
An Introduction to Magnetohydrodynamics
Vorticity and Incompressible Flow
An Introduction to the Mathematical Theory of the Navier-Stokes Equations
Large time behaviour of solutions to the navier-stokes equations
Sharp Rate of Decay of Solutions to 2-Dimensional Navier-Stokes Equations
Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals
Non-Uniform Decay of MHD Equations With and Without Magnetic Diffusion
Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity
Some topological aspects of fluid dynamics

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