On the Global Unique Solvability of Initial-Boundary Value Problems for the Coupled Modified Navier–Stokes and Maxwell Equations
نویسنده
چکیده
The global unique solvability of the first initial-boundary value problem in a bounded, two or three-dimensional domain with fixed perfectly conducting boundaries is proved for the modified Navier–Stokes equations coupled with the Maxwell equations. The system gives a deterministic description of the dynamics for conducting, incompressible, homogeneous fluids. Improved results are proved for the periodic boundary condition case. Mathematics Subject Classification (2000). 76W05, 35Q30, 35Q35, 76D05, 35A05.
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تاریخ انتشار 2004