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.
Recent Topics in Nonlinear PDE
β Scribed by Masayasu Mimura and Takaaki Nishida (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 1984
- Leaves
- 236
- Series
- North-Holland Mathematics Studies 98
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Edited by
Page iii
Copyright page
Page iv
Preface
Page v
M. Mimura, T. Nishida
On the Fluid Dynamical Limit of the Boltzmann Equation Original Research Article
Pages 1-19
Kiyoshi Asano, Seiji Ukai
Neumann Layer Phenomena in Nonlinear Diffusion Systems Original Research Article
Pages 21-38
Hiroshi Fujii, Yuzo Hosono
Water Waves and Friedriehs Expansion Original Research Article
Pages 39-57
Tadayoshi Kano, Takaaki Nishida
Global Existence and Stability of Solutions for Discrete Velocity Models of the Boltzmann Equation Original Research Article
Pages 59-85
Shuichi Kawashima
Blow-up of Solutions for Quasi-Linear Wave Equations in Two Space Dimensions Original Research Article
Pages 87-91
KyΕ«ya Masuda
A Kinetic Approximation of Entropy Solutions of First Order Quasilinear Equations Original Research Article
Pages 93-105
Tetsuro Miyakawa
Instability of Spatially Homogeneous Periodic Solutions to Delay-Diffusion Equations Original Research Article
Pages 107-124
Yoshihisa Morita
On Some Nonlinear Dispersive Systems and the Associated Nonlinear Evolution Operators Original Research Article
Pages 125-142
Shinnosuke Oharu, Tadayasu Takahashi
Nonstationary or Stationary Free Boundary Problems for Perfect Fluid with Surface Tension Original Research Article
Pages 143-154
Hisashi Okamoto
Global Existence Theorem for Nonlinear Wave Equation in Exterior Domain Original Research Article
Pages 155-196
Yoshihiro Shibata, Yoshio Tsutsumi
Diffusion Processes and Partial Differential Equations Original Research Article
Pages 197-210
Kazuaki Taira
Free Boundary Problems for the Equations of Motion of General Fluids Original Research Article
Pages 211-219
Atusi Tani
Scattering of Solutions of Nonlinear Klein-Gordon Equations in Higher Space Dimensions Original Research Article
Pages 221-239
Masayoshi Tsutsumi, Nakao Hayashi
π SIMILAR VOLUMES
This volume is the result of lectures delivered at the second meeting on the subject of nonlinear partial differential equations, held at Tohoku University, 27-29 February 1984. The topics presented at the conference range over various fields of mathematical physics.
This volume contains the proceedings of the virtual conference on Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs, held from February 28βMarch 1, 2021, and hosted by Purdue University, West Lafayette, IN. The mathematical content of this volume is at the intersection of vis