Methods of a study of the boundary layer on a needle
Abstract:
Here we explain some ideas and results of Power Geometry,
which are used for a study of the axisymmetric boundary layer
on a needle. The spatial Power Geometry gives methods
for selecting and reducing truncated system of equations,
which solutions give a strong asymptotics for solutions
to the original system of equations. The planar Power Geometry gives methods
for receiving both asymptotics and asymptotic expansions of solutions.
In some cases these expansions converge and give the solutions themselves.
Publication language:russian, pages:23
Research direction:
Mathematical problems and theory of numerical methods