FINAL REPORT. MACROSCOPIC MAGNETO-FLUID DYNAMICS ,
NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES
Pagination or Media Count:
A general program was undertaken to understand the mathematical structure and content of the basic equations of the subject, paying special attention to nonstandard mathematical problems which arise. The steady flow past a wedge was studied. The Mach cones in three dimensions were computed and found to be extremely singular. The flow past an airfoil, governed at certain intermediate speeds by a fourth order composite system which is partly elliptic and partly hyperbolic, was studied. An extensive existence theory of the linear Boltzmann equation was developed using newly discovered estimates for the Boltzmann collison operator. Also, a detailed study of wave propagation using normal modes was made.