Download PDF by Xiaoping Xu: Algebraic Approaches to Partial Differential Equations

By Xiaoping Xu

ISBN-10: 3642368735

ISBN-13: 9783642368738

ISBN-10: 3642427626

ISBN-13: 9783642427626

This ebook provides some of the algebraic options for fixing partial differential equations to yield unique ideas, strategies built via the writer in recent times and with emphasis on actual equations reminiscent of: the Maxwell equations, the Dirac equations, the KdV equation,  the KP equation,  the nonlinear Schrodinger equation,  the Davey and Stewartson equations, the Boussinesq equations in geophysics,  the Navier-Stokes equations and the boundary layer difficulties.  In order to unravel them, i've got hired the grading procedure, matrix differential operators, stable-range of nonlinear phrases, relocating frames, uneven assumptions,  symmetry variations,  linearization suggestions  and  special capabilities. The booklet is self-contained and calls for just a minimum realizing of calculus and linear algebra, making it available to a large viewers within the fields of arithmetic, the sciences and engineering. Readers may possibly locate the precise strategies and mathematical abilities wanted of their personal research.

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Read or Download Algebraic Approaches to Partial Differential Equations (Springer Monographs in Mathematics) PDF

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Algebraic Approaches to Partial Differential Equations (Springer Monographs in Mathematics) by Xiaoping Xu

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