Recent Topics in Nonlinear PDE IV

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Elsevier, 1989 - Differential equations, Nonlinear - 243 pages
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This fourth volume concerns the theory and applications of nonlinear PDEs in mathematical physics, reaction-diffusion theory, biomathematics, and in other applied sciences. Twelve papers present recent work in analysis, computational analysis of nonlinear PDEs and their applications.
 

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Contents

Chapter 1 A Local Characterization of Blowup Points of Semilinear Heat Equations
1
Chapter 2 The NavierStockes Equation Associated with the Discrete Boltzmann Equation
15
Chapter 3 Route to Chaos in a NavierStokes Flow
31
Chapter 4 Periodic Solutions of a Viscous Gas Equation
49
Chapter 5 On the Onedimensional Free Boundary Problem for the Heatconductive Compressible Viscous Gas
83
Chapter 6 A Computational Verification Method of Existence of Solutions for Nonlinear Elliptic Equations
101
Chapter 7 Degenerate Bifurcations in the TaylorCouette Problem
121
Chapter 8 Uniqueness of Critical Point of the Solution to the Prescribed Constant Mean Curvature Equation Over Convex Domain in R2
129
Chapter 9 Symmetric Domains and Elliptic Equations
153
Chapter 10 On the Cauchy Problem for the KP Equation
179
Chapter 11 Weak Asymptotic Solutions to Hyperbolic Systems of Conservation Laws
195
Chapter 12 The Vanishing Viscosity Method in TwoPhase Stefan Problems with Nonlinear Flux Conditions
211
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