Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations: 1st Edition (e-Book) book cover

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

1st Edition

By Victor A. Galaktionov

Chapman and Hall/CRC

569 pages

Purchasing Options:$ = USD
Hardback: 9781482251722
pub: 2014-09-22
$160.00
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pub: 2014-09-22
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Description

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

Table of Contents

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 Schrodinger Equations: From "Blow-Up" Zero Structures to Quasilinear Operators. References.

Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT012000
MATHEMATICS / Geometry / General