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


Novosibirsk participants

Hydrodynamics with quadratic pressure

Chupakhin A.P.

Lavrentyev Institute of Hydrodynamics SD RAS (Novosibirsk)

We present the complete analytical description of extensive class of exact solutions for Euler equations. The pressure in these solutions depend on distance squared. We suggest the original method of separation lagrange variables and time for integration the Euler equations. The investigation of fluid dynamics reduced to analysis of Lame equation. We get the formula of the general solution and analyze its properties. We show some examples of solutions and consider the dynamics of fluid volume.

Note. Abstracts are published in author's edition



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