Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Siberian participants

Solution of boundary problems by means of conservation laws.

Senashov S.

Krasnoyarsk State Institute of Economics and Commerce (Krasnoyarsk)

In the report we use conservation laws for solution of Caushy's problems for next systems of nonlinear differential equations of first order:
1. hyperbolic systems with 2 independent variables, 2 characteristics and number of dependent variables mоre or equal 2,
2. 2 hyperbolic equations with number of independent variables more or equals 2,
3. 2 elliptic equations with 2 independent variables ( Here we solved Dirichlet's problem )
For all cases we constructed analytic solutions of corresponding the boundary problems. In the report we demonstrate analytic solutions of concrete physical and mechanical problems.

Note. Abstracts are published in author's edition

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