Mathematical Models in Boundary Layer Theory
Mathematical Models in Boundary Layer Theory
复制标题
DOI：
10.1201/9780203749364
复制
发表时间：
1999-05
期刊：
影响因子：
--
通讯作者：
O. Oleinik;V. Samokhin
中科院分区：
文献类型：
--
作者：
O. Oleinik;V. Samokhin
Navier-Stokes方程和Prandtl推导边界层系统的Prandtl系统解作为边界层边界分离附近Navier-Stokes方程渐近解的第一近似边界层方程的主要问题设置边界层边界层方程磁流体力学中非牛顿流体边界层边界层稳态边界层：von Mises变量二维边界层的延拓速度分量沿着边界层的渐近行为边界层分离的条件边界层方程的自相似解用线法求解三维边界层方程的延拓问题评注定常边界层：Crocco变量轴对称定常边界层对称边界层边界层的延拓问题边界层系统的弱解非定常边界层轴对称边界层非定常轴对称边界层的延拓问题边界层的延拓：轴对称流动Prandtl方程组t-整体解的逐次逼近非定常边界层系统的周期解在时间变量边界层形成中用直线法求解非定常Prandtl系统边界层形成问题的解和渐近展开式：突然开始运动物体边界层逐渐加速形成的情况用有限差分法解边界层连续问题轴对称流动Prandtl方程组用有限差分法讨论边界未知的Prandtl系统边界层的绕射问题两种不同性质的流体在界面处的混合讨论非牛顿流体中的边界层伪塑性流体中的对称边界层边界层弱解伪塑性流体中的边界层延拓问题伪塑性流体中的非定常边界层塑性流体可膨胀介质边界层的延拓可膨胀介质对称边界层的评注磁流体力学边界层的延拓普通流体MHD边界层的求解拟塑性流体MHD边界层方程的自可膨胀流体MHD边界层方程组的相似解在横向磁场中可膨胀导电流体边界层方程组的求解评注边界层方程组的均匀化快速振荡磁场中MHD边界层方程的均匀化--对几个未解决问题的评述
The Navier-Stokes Equations and Prandtl Derivation of the Prandtl System Solution of the Boundary Layer System as the First Approximation to Asymptotic Solution of the Navier-Stokes Equations near the Boundary Separation of the Boundary Layer Setting of the Main Problems for the Equations of Boundary Layer Boundary Layer Equations for Non-Newtonian Fluids Boundary Layers in Magnetohydrodynamics Stationary Boundary Layer: von Mises Variables Continuation of Two-Dimensional Boundary Layer Asymptotic Behavior of the Velocity Component along the Boundary Layer Conditions for Boundary Layer Separation Self-Similar Solutions of the Boundary Layer Equations Solving the Continuation Problem by the Line Method On Three-Dimensional Boundary Layer Equations Comments Stationary Boundary Layer: Crocco Variables Axially Symmetric Stationary Boundary Layer Symmetric Boundary Layer The Problem of Continuation of the Boundary Layer Weak Solutions of the Boundary Layer System Nonstationary Boundary Layer Axially Symmetric Boundary Layer The Continuation Problem for a Nonstationary Axially Symmetric Boundary Layer Continuation of the Boundary Layer: Successive Approximations On t-Global Solutions of the Prandtl System for Axially Symmetric Flows Stability of Solutions of the Prandtl System Time-Periodic Solutions of the Nonstationary Boundary Layer System Solving the Nonstationary Prandtl System by the Line Method in the Time Variable Formation of the Boundary Layer Solutions and Asymptotic Expansions for the Problem of Boundary Layer formation: The Case of Gradual Acceleration Formation of the Boundary Layer about a Body that Suddenly Starts to Move Comments Finite-Difference Method Solving the Boundary Layer Continuation Problem by the Finite Difference Method Solving the Prandtl System for Axially Symmetric Flows by the Finite Difference Method Comments Diffraction Problems for the Prandtl System Boundary Layer with Unknown Border between Two media Mixing of Two Fluids with Distinct Properties at the Interface between Two Flows Comments Boundary Layer in Non-Newtonian Flows Symmetric Boundary Layer in Pseudo-Plastic Fluids Weak Solutions of the Boundary Layer Continuation Problem for Pseudo-Plastic Fluids Nonstationary Boundary Layer for Pseudo-Plastic Fluids Continuation of the Boundary Layer in Dilatable Media Symmetric Boundary Layer in Dilatable Media Comments Boundary Layer in Magnetic Hydrodynamics Continuation of the MHD Boundary Layer in Ordinary Fluids Solving the Equations of the MHD Boundary Layer in Pseudo-Plastic Fluids Self-Similar Solutions of the MHD Boundary Layer System for a Dilatable Fluid Solving the Equations of Boundary Layer for Dilatable Conducting Fluids in a Transversal Magnetic Field Comments Homogenization of Boundary Layer Equations Homogenization of the Prandtl System with Rapidly Oscillating Injection and Suction Homogenization of the Equations of the MHD Boundary Layer in a Rapidly Oscillating Magnetic Field Comments Some Open Problems References Index