Asymptotics for dissipative nonlinear equations
著者
書誌事項
Asymptotics for dissipative nonlinear equations
(Lecture notes in mathematics, 1884)
Springer-Verlag, c2006
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注記
Other authors: E.I. Kaikina, P.I. Naumkin, I.A. Shishmarev
Includes bibliographical references (p. [541]-553) and index
内容説明・目次
内容説明
This is the first book in world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
目次
Preliminary results.- Weak Nonlinearity.- Critical Nonconvective Equations.- Critical Convective Equations.- Subcritical Nonconvective Equations.- Subcritical Convective Equations.
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