On the hydrostatic approximation of Navier-Stokes-Maxwell system with Gevrey data
DOI10.1016/J.MATPUR.2024.05.005zbMATH Open1541.35347MaRDI QIDQ6554717
Ping Zhang, Ning Liu, Marius Paicu
Publication date: 13 June 2024
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) 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)
Cites Work
- Global regularity for some classes of large solutions to the Navier-Stokes equations
- On the hydrostatic approximation of the Navier-Stokes equations in a thin strip
- Global well posedness for the Maxwell-Navier-Stokes system in 2D
- Über Flüssigkeitsbewegung bei sehr kleiner Reibung.
- Global existence and the decay of solutions to the Prandtl system with small analytic data
- Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data
- Well-posedness of the Prandtl equations without any structural assumption
- Formal derivation and stability analysis of boundary layer models in MHD
- Global small analytic solutions of MHD boundary layer equations
- An introduction to magnetohydrodynamics
- Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
- Fourier Analysis and Nonlinear Partial Differential Equations
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory
- Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption
- On the Hydrostatic Approximation of the MHD Equations in a Thin Strip
- Solutions of Navier–Stokes–Maxwell systems in large energy spaces
- Justification of Prandtl Ansatz for MHD Boundary Layer
- Well-posedness of the Prandtl equation in Sobolev spaces
- Well-posedness of the Navier—Stokes—Maxwell equations
- On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid
- On the role of the displacement current and the Cattaneo's law on boundary layers of plasma
- Gevrey Solutions of Quasi-Linear Hyperbolic Hydrostatic Navier–Stokes System
- On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class
This page was built for publication: On the hydrostatic approximation of Navier-Stokes-Maxwell system with Gevrey data
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6554717)