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Monday
9
Sep 13
3:30 PM - 4:30 PM KAP 414
Global weak solutions of the equations of compressible
Anthony Suen USC

We prove the global-in-time existence of weak solutions of the three-dimensional isothermal, compressible magnetohydrodynamic (MHD) equations in the whole R^3 space. The initial density is strictly positive, essentially bounded and is close to a constant in L^2, and the initial velocity and magnetic field are both small in L^2 and bounded in L^n for some n>6. Here the initial data may be discontinuous across a hypersurface of R^3.

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