THE BOUNDARY VALUE PROBLEM IN COMPRESSIBLE MAGNETO-HYDRODYNAMICS.
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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Linearized steady two-dimensional compressible magnetohydrodynamics is considered. No restruction on the gas law or on the field orientations is made. Thin body flow problems are solved for all flow field regimes e.g. doubly hyperbolic, hyperliptic. The method of solution is based on replacing material walls by surfaces of discontinuity. The discontinuous forms of magnetohydrodynamic equations are derived in full generality. It is then shown that the solution to any problem may be represented in terms of the fundamental solution. The latter is obtained in closed form for all regimes. The final solution is then reduced to a single integral equation which may be solved in all cases. Author
- Numerical Mathematics
- Fluid Mechanics
- Plasma Physics and Magnetohydrodynamics