Stochastic homogenization of Hamilton–Jacobi equations and some applications
Stochastic homogenization of Hamilton–Jacobi equations and some applications
复制标题
Hamilton-Jacobi 方程的随机齐次化及一些应用
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
P. Souganidis
中科院分区：
文献类型：
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作者：
P. Souganidis
给出了一阶偏微分方程（Hamilton-Jacobi方程）Cauchy问题的齐次型结果。主要的假设是，哈密顿量是超线性和凸的梯度和平稳和遍历的空间变量。文中还介绍了它在有关问题以及反应扩散方程和湍流燃烧的渐近性中的一些应用。
Homogenization-type results for the Cauchy problem for first-order PDE (Hamilton-Jacobi equations) are presented. The main assumption is that the Hamiltonian is superlinear and convex with respect to the gradient and stationary and ergodic with respect to the spatial variable. Some of applications to related problems as well as to the asymptotics of reaction-diffusion equations and turbulent combustion are also presented.