MATHEMATICS. MATHEMATIC MODELING

To the theory of linearized Saint-Venan equation

Z. A. Nakhusheva

Establishment of the Russian Academy of Sciences Scientific Research Institute of Applied Mathematics and Automation of KBSC of the Russian Academy of Sciences, 360000, Nalchik, 89-а, Shortanov street

Abstract: In the paper uniqueness and existence of regular solution for generalized Darboux problem in local setting for linearized Saint-Venan equation is proved for different values of Froude numbers including critical ones.

Keywords: Saint-Venan equation, Darboux problem, Froude numbers, Volterra integral equation.

UDC: 517.983.2

Received: 12.10.2010

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