Reaction–Diffusion Equations and Their Applications and Computational Aspects: China–Japan Symposium
Reaction–Diffusion Equations and Their Applications and Computational Aspects: China–Japan Symposium
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反应扩散方程及其应用和计算方面：中日研讨会
DOI：
10.1142/9789814531191
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
Qixiao Ye
中科院分区：
文献类型：
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作者：
T.T. Li;M. Mimura;Y. Nishiura;Qixiao Ye
本书的目录如下：前言：具有不连续自由项的完全非线性椭圆方程解的存在性FitzHugh-Nagumo方程中脉冲的相互作用薄管域上一类反应-扩散方程的惯性流形理论一类简单扩散流行病模型的行波解拟线性双曲系统解的非线性扩散现象与某些化学反应有关的非线性边值问题双稳态反应扩散系统中脉冲波前后波的界面分岔ginzburg - landau方程和稳态解非线性pde非线性热传导的约化理论的实例研究反应扩散系统的正周期解和平衡解的存在性度理论的应用反应扩散方程的不变流形定理及其应用竞争扩散方程的分离反应扩散系统的动态约简一种不变流形方法多孔介质液-气相变模型的数学研究一种内部过渡层构造的改进含生长的趋化模型中聚集模式的稳定性一类拟线性抛物系统整体解的存在性和不存在性一类带运动的反应扩散问题的死核一些交叉扩散系统解的定性研究一类非局部非线性边值问题热方程。Gierer-Meinhardt系统平稳解的稳定性。非线性扩散系统解的若干性质。反应-扩散系统的不变性和弱不变性。极限特征值的若干注释及其应用
The Table of Contents for the book is as follows:PrefaceExistence of solutions for fully nonlinear elliptic equations with discontinuous free termsInteraction of pulses in FitzHugh–Nagumo equationsInertial manifold theory for a class of reaction–diffusion equations on thin tubular domainsTraveling wave solutions for a simple diffusive epidemic modelNonlinear diffusive phenomena of solutions for quasilinear hyperbolic systemsNonlinear boundary value problems related to some chemical reactions on the interfaceBifurcation of pulse waves from front and back waves in bistable reaction–diffusion systemsGinzburg–Landau equation and stable steady state solutionsA case study on the reduction theory of non-linear PDENonlinear heat conduction with finite speed of propagationThe existence of positive periodic solutions and equilibrium solutions for reaction-diffusion systems — Application of degree theoryDynamics of a cooperation-diffusion systemInvariant manifold theorems for reaction–diffusion equations and their applicationsSeparatrices of competition–diffusion equationsTuring patterns • Stability • Scaling lawDynamic reductions in a reaction–diffusion system — An invariant manifold approachMathematical study of a model for liquid–vapour phase change in porous mediaAn improvement in construction of internal transition layersStability of aggregating patterns in a chemotaxis model including growthOn the existence and nonexistence of global solutions to a quasilinear parabolic systemOn dead core of a reaction–diffusion problem with motionQualitative studies of solutions for some cross-diffusion systemsA nonlocal nonlinear boundary value problem for the heat equationsStability of stationary solutions of the Gierer–Meinhardt systemSome properties of solutions for a nonlinear diffusion systemInvariance and weak invariance for reaction–diffusion systemsSome remarks on the limit eigenvalue and an applicationList of presentations