Nikolai Botkin

Dr. Nikolai Botkin


Research Focus & Metrics

Academic Career Length

43Years (1984-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

View All Publications
15 October 2007 in Journal of Fluid Mechanics
Verified
Journal Article
Closed access
PDF file
KHKarl-Heinz Hoffmann
Karl-Heinz Hoffmann
DMDavid Marx
David Marx
NBNikolai Botkin
Nikolai Botkin
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
Verified
Journal Article
Closed access
AKAndrey Kovtanyuk
Andrey Kovtanyuk
NBNikolai Botkin
Nikolai Botkin
KHKarl-Heinz Hoffmann
Karl-Heinz Hoffmann

1 March 2015 in Communications in Nonlinear Science and Numerical Simulation
Verified
Journal Article
Closed access
AKAndrey Kovtanyuk
Andrey Kovtanyuk
ACAlexander Yu. Chebotarev
Alexander Yu. Chebotarev
NBNikolai Botkin
Nikolai Botkin
KHKarl-Heinz Hoffmann
Karl-Heinz Hoffmann

1 January 2011 in SIAM Journal on Scientific Computing
Verified
Journal Article
Closed access
NBNikolai Botkin
Nikolai Botkin
KHKarl-Heinz Hoffmann
Karl-Heinz Hoffmann
VTVarvara Turova
Varvara Turova
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
Verified
Journal Article
Closed access
PDF file
NBNikolai Botkin
Nikolai Botkin
VTV. L. Turova-Botkina
V. L. Turova-Botkina

1 January 2016 in Journal of Mathematical Analysis and Applications
Verified
Journal Article
Closed access
GGGleb V. Grenkin
Gleb V. Grenkin
ACAlexander Yu. Chebotarev
Alexander Yu. Chebotarev
AKAndrey Kovtanyuk
Andrey Kovtanyuk
NBNikolai Botkin
Nikolai Botkin
KHKarl-Heinz Hoffmann
Karl-Heinz Hoffmann