Global well-posedness of generalized magnetohydrodynamics equations in variable exponent Fourier-Besov-Morrey spaces
DOI10.1007/s10114-022-0581-0OpenAlexW4285082995MaRDI QIDQ2684798
Muhammad Zainul Abidin, Jiecheng Chen
Publication date: 17 February 2023
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-022-0581-0
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Analyticity in context of PDEs (35A20) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Well-posedness and ill-posedness for the 3D generalized Navier-Stokes equations in \(\dot{F}^{-\alpha,r}_{\frac{3}{\alpha-1}}\)
- Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Exponentially-stable steady flow and asymptotic behavior for the magnetohydrodynamic equations
- Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
- Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- Well-posedness for fractional Navier-Stokes equations in critical spaces \(\dot B _{\infty, \infty}^{-(2\beta-1)}(\mathbb R^n)\)
- Ill-posedness of the Navier-Stokes equations in a critical space in 3D
- Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations
- Generalized MHD equations.
- Electrorheological fluids: modeling and mathematical theory
- Regularity results for stationary electro-rheological fluids
- Global well-posedness for fractional Navier-Stokes equations in variable exponent Fourier-Besov-Morrey spaces
- Global well-posedness of the incompressible fractional Navier-Stokes equations in Fourier-Besov spaces with variable exponents
- Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces
- Variable exponent Besov-Morrey spaces
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- On the Navier-Stokes initial value problem. I
- On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations
- Global well-posedness of the three dimensional magnetohydrodynamics equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- On the nonstationary Navier-Stokes systems
- The maximal operator on weighted variable Lebesgue spaces
- Fourier Analysis and Nonlinear Partial Differential Equations
- Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
- Navier-stokes flow in r3with measures as initial vorticity and morrey spaces
- Global mild solutions of Navier‐Stokes equations
- Strong solutions of the Navier-Stokes equation in Morrey spaces
- Gevrey regularity of solutions to the 3-D Navier-Stokes equations with weighted $l_p$ initial data
- Regularity Criteria for the Generalized MHD Equations
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Well-posedness for the Navier-Stokes equations
This page was built for publication: Global well-posedness of generalized magnetohydrodynamics equations in variable exponent Fourier-Besov-Morrey spaces