» » Group Analysis of Differential Equations

by L. Ovsiannikov
Mathematics
• Author:
L. Ovsiannikov
• ISBN:
0125316801
• ISBN13:
978-0125316804
• Genre:
• Publisher:
• Pages:
432 pages
• Subcategory:
Mathematics
• Language:
• FB2 format
1688 kb
• ePUB format
1459 kb
• DJVU format
1905 kb
• Rating:
4.4
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Group analysis is used to study stochastic equations of fluid dynamics. Determining equations for admitted Lie groups of transformation involving independent and dependent variables and Wiener processes are obtained. It is shown that, as in the case of deterministic differential equations, admitted groups make it possible to reduce invariant solutions of stochastic differential equations to solutions with a smaller number of independent variables. stochastic equations equations of gas dynamics Navier-Stokes equations group analysis invariant solutions.

Chapter II Groups Admitted by Differential Equations. 8. Ordinary Differential Equations. 5. Determining Equations. 6. Group Classification Problem. 7. Lie Algebra of Operators. Chapter III Full Groups of Concrete Systems of Equations. 10. Boundary Layer Equations.

First, we find the symmetry groups of the differential equations. A comprehensive study on the symmetry analysis, invariant solutions and conservation laws of differential equations is presented in this thesis

First, we find the symmetry groups of the differential equations  . A comprehensive study on the symmetry analysis, invariant solutions and conservation laws of differential equations is presented in this thesis. First, we find the symmetry groups of the differential equations. Second, using the symmetry groups, invariant solutions which are invariant under subalgebras of the symmetry Lie algebra are derived. Finally, by applying the direct method the local conservation laws associated to the differential equations are obtained.

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The book presents a real group analysis of differential equations, . Lie groups and Lie algebras where the Banach spaces and differential equations are considered over the field of real numbers. The field of complex numbers, required for solving some auxiliary algebraic problems, involves no difficulties.

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Semantic Scholar extracted view of "Group analysis of differential equations" by Willard Miller et a. oceedings{Miller1982GroupAO, title {Group analysis of differential equations}, author {Willard Miller and L. V. Ovsiannikov}, year {1982} }. Willard Miller, L.

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