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Global generalized solutions for Maxwell-alpha and Euler-alpha equations
Global generalized solutions Maxwell-alpha Euler-alpha equations
2011/2/24
We study initial-boundary value problems for the Lagrangian averaged alpha models for the equations of motion for the corotational Maxwell and inviscid fluids in 2D and 3D. We show existence of (globa...
Preliminary group classification for generalized inviscid Burger's equation
Burgers’ equation Equivalence transformations Lie symmetries
2010/12/9
Preliminary group classification for a class of generalized inviscid Burger’s equa-tions in the general form ut+g(x, u)ux = f(x, u) is given and additional equivalence transformations are found. Adduc...
Generalized Landau-Lifshitz Equation into $S^n$
Generalized Landau-Lifshitz Equation $S^n$
2010/12/6
In this paper, a type of integrable evolution equation–the generalized Landau-Lifshitz equation into Sn is considered. We deal with this equation from a geometric point of view by rewriting it in a ge...
On Generalized Solution of a Class of Higher Order Operator-Differential Equations
Operator-differential equations Hilbert spaces existence of generalized solution
2010/2/25
In this paper the sufficient conditions on the existence and uniqueness of a generalized solution on the axis are obtained for higher order operator-differential equations, the main part of which is m...