Wei-Xi Li, Zhan Xu, Anita Yang
Published 2024-09-17Version 1
We study the two-dimensional MHD boundary layer equations. For small perturbation around a tangential background magnetic field, we obtain the global-in-time existence and uniqueness of solutions in Sobolev spaces. The proof relies on the novel combination of the well-explored cancellation mechanism and the idea of linearly-good unknowns, and in fact we use the former idea to deal with the top tangential derivatives and the latter one admitting fast decay rate to control lower-order derivatives.
A remark on global well-posedness below L^2 for the gKdV-3 equation
Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data
Global well-posedness and scattering for the defocusing $H^{\frac12}$-subcritical Hartree equation in $\mathbb{R}^d$
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