Reaction-Diffusion in Incompressible Fluid: Asymptotic Problems
Reaction-Diffusion in Incompressible Fluid: Asymptotic Problems
复制标题
不可压缩流体中的反应扩散：渐近问题
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
M. Freidlin
中科院分区：
文献类型：
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作者：
M. Freidlin
W(X)是与流体运动的平面垂直的旋度v(X)分量的标量。函数Y(X)和w(X)满足Helmholtz方程(例如，见[13])。让r种颗粒被放入液体中。设UK(t，x)为k类粒子在t0时刻的密度，k=1，2，…，r。粒子与流体一起运动，扩散时扩散系数dk，简而言之，我们将其视为常数，并参与化学反应。在没有运动的情况下，反应用局部动力学方程来描述。
w(x) is the scalar equal to the component of curl v(x) orthogonal to the plane where the fluid moves. The functions Y(x) and w(x) satisfy the Helmholtz equations (see, for example, [13]). Let particles of r types be put in the fluid. Let uk(t, x) be the density of the particles of type k at time t 0, k=1, 2, ..., r. The particles move together with the fluid, diffuse with corresponding diffusion coefficients Dk, which we for brevity consider as constants, and take part in a chemical reaction. In the absence of the motion, the reaction is described by the local kinetic equations