Systems of Quasilinear Equations and Their Applications to Gas Dynamics
ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA
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Mathematical methods of investigating one-dimensional problems in gas dynamics are presented. Systems of quasilinear equations and principal problems for hyperbolic systems are studied in detail. Equations of gas dynamics are derived and investigated analytic solutions of gas dynamics are presented discontinuous flows containing shock waves are studied. The fundamentals of the theory of difference schemes are set forth and a variety of numerical solution methods for gas dynamics problems employed in practical calculations are set forth. A theory of the generalized solution is outlined for systems of quasilinear equations of the hyperbolic type. The monograph contains the results of recent work on these problem areas.
- Theoretical Mathematics
- Fluid Mechanics