Victor A Galaktionov, Enzo L Mitidieri, Stanislav I Pohozaev

Blow-Up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

• Gebundenes Buch

Produktbeschreibung

This book shows how four types of higher-order nonlinear evolution PDEs have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs, describe many properties of the equations, and examine traditional questions of existence/nonexistence, uniqueness/nonuniqueness, global asymptotics, regularizations, shock-wave theory, and various blow-up singularities. The book illustrates how complex PDEs are used in a variety of applications and describes new nonlinear phenomena for the equations.

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Produktdetails

• Verlag: CRC Press
• Seitenzahl: 569
• Erscheinungstermin: 30. September 2014
• Englisch
• Abmessung: 234mm x 157mm x 36mm
• Gewicht: 885g
• ISBN-13: 9781482251722
• ISBN-10: 1482251728
• Artikelnr.: 40558254

Autorenporträt

Victor A. Galaktionov, Enzo L. Mitidieri, Stanislav I. Pohozaev

Inhaltsangabe

Introduction. Complicated Self
Similar Blow
Up, Compacton, and Standing Wave Patterns for Four Nonlinear PDEs: A Unified Variational Approach to Elliptic Equations. Classification of Global Sign
Changing Solutions of Semilinear Heat Equations in the Subcritical Fujita Range: Second
and Higher
Order Diffusion. Global and Blow
Up Solutions for Kuramoto
Sivashinsky, Navier
Stokes, and Burnett Equations. Regional, Single
Point, and Global Blow
Up for a Fourth
Order Porous Medium
Type Equation with Source. Semilinear Fourth
Order Hyperbolic Equation: Two Types of Blow
Up Patterns. Quasilinear Fourth
Order Hyperbolic Boussinesq Equation: Shock, Rarefaction, and Fundamental Solutions. Blow
Up and Global Solutions for Korteweg
de Vries
Type Equations. Higher
Order Nonlinear Dispersion PDEs: Shock, Rarefaction, and Blow
Up Waves. Higher
Order Schrödinger Equations: From "Blow
Up" Zero Structures to Quasilinear Operators. References.