The Stokes formula for the resistance force exerted on a sphere moving with constant velocity in a fluid is extended to the case of micropolar fluids. A non-homogeneous boundary condition for the micro-rotation vector is used: the micro-rotation on the boundary of the sphere is assumed proportional to the rotation rate of the velocity field on the boundary.
1 January 2012 in International Journal of Heat and Mass Transfer
Stable approximation schemes for solving Hamilton–Jacobi–Bellman–Isaacs equations in $R^n$ are proposed. The efficiency of numerical procedures based on such approximations is demonstrated by solving several differential games in two, three, and four dimensions.
1 March 1994 in Applied Mathematics & Optimization