Existence of a Class of Stretched 2D Ideal Magnetohydrodynamic Flows

DOI10.1007/S10958-024-07063-7MaRDI QIDQ6490269

Publication date: 23 April 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible viscous fluids (76Dxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A magnetic regularity criterion for the 2D MHD equations with velocity dissipation
Global Cauchy problem of 2D generalized MHD equations
Finite time singularities in a 1D model of the quasi-geostrophic equation
On a one-dimensional model for the three-dimensional vorticity equation
Integral inequalities for the Hilbert transform applied to a nonlocal transport equation
Some similarity solutions of the Navier-Stokes equations and related topics
On regularity criteria of the 2D generalized MHD equations
Dynamically stretched vortices as solutions of the 3D Navier-Stokes equations
Infinite energy solutions of the surface quasi-geostrophic equation
A remark on the existence of a class of stretched \(2 \frac{1}{2} D\) magnetohydrodynamics flow
Non-stationary Riccati-type flows for incompressible 3D Navier-Stokes equations
Remarks on regularity criteria for 2D generalized MHD equations
Formation of singularities for a transport equation with nonlocal velocity
Vorticity and Incompressible Flow
Singularity formation in a class of stretched solutions of the equations for ideal magneto-hydrodynamics
Fourier Analysis and Nonlinear Partial Differential Equations
On the global existence of columnar solutions of the Navier–Stokes equations
A blow-up problem of a class of axisymmetric Navier-Stokes equations with infinite energy
On a generalization of the Constantin–Lax–Majda equation
Numerical study of singularity formation in a class of Euler and Navier–Stokes flows
Blow-up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection
Exact, infinite energy, blow-up solutions of the three-dimensional Euler equations
On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations
A simple one‐dimensional model for the three‐dimensional vorticity equation

This page was built for publication: Existence of a Class of Stretched 2D Ideal Magnetohydrodynamic Flows