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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

Galaktionov, Victor A.
Svirshchevskii, Sergey R.

Paperback

Series: Chapman & Hall/CRC Applied Mathematics and Nonlinear Science, Book 10

General MathematicsPhysics

ISBN10: 0367389975
ISBN13: 9780367389970
Publisher: CRC Press
Published: Sep 19 2019
Pages: 528
Weight: 1.65
Height: 1.40 Width: 5.90 Depth: 9.10
Language: English
Providing exact solutions of more than 200 nonlinear equations and models, this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book, the authors develop several techniques for constructing exact solutions that describe singularity behavior for various nonlinear PDEs, including gas dynamics models, free-boundary problems, Green-Naghdi equations, and quasilinear pseudo-parabolic (magma) equations. Using exact solutions, they describe the evolution properties related to singularity blow-up or extinction phenomena, finite interface propagation and regularity, and the oscillatory, changing sign behavior of weak solutions near interfaces.

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