Global Classical Solutions for MHD System
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This work studies the magnetohydrodynamics of a two-dimensional incompressible ideal fluid in both an exterior domain and in the half-plane. The Schauder fixed point theorem is used to establish the existence of a global classical solution in Hölder space.
- University of Brescia Italy
global existence, Variational methods applied to PDEs, General existence and uniqueness theorems (PDE), Magnetohydrodynamics and electrohydrodynamics, Hölder spaces, PDEs in connection with fluid mechanics, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, incompressible MHD system
global existence, Variational methods applied to PDEs, General existence and uniqueness theorems (PDE), Magnetohydrodynamics and electrohydrodynamics, Hölder spaces, PDEs in connection with fluid mechanics, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, incompressible MHD system
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