## Recent Topics in Nonlinear PDE IVThis 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### 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 |

### Other editions - View all

Recent Topics in Nonlinear PDE: (1989). - (... ; 10) (... ; 160), Volume 4 Kyûya Masuda,Masayasu Mimura No preview available - 1989 |

### Common terms and phrases

a.e. in Q apply argument assume asymptotic Ax Ax Ax blowup Boltzmann equation boundary condition boundary value problems bounded Chen coefficient components conservation laws consider convex function defined denote Differential Equations Dirichlet Dirichlet problem discrete Boltzmann equation domain eigenvalue elliptic equations energy finite fluid Fourier heat equations Hence holds hydrodynamical basis implies inequality initial data initial value problem integration interval Japan Kyoto University Lemma linear Math matrix mean curvature minimal points Navier-Stokes equation Navier-Stokes equation 2.14 Nonlinear PDE norm null space obtain one-dimensional periodic solution piston problem positive constant prove Recent Topics Remark respect result Reynolds number satisfies semilinear heat equations space spectral Stefan problem Suppose symmetric Taylor vortices Theorem 1.1 Topics in Nonlinear triply periodic uniform estimates unique solution V-solution variable vector velocity field viscosity weak solution weakly