zbMATH — the first resource for mathematics

Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid. (English) Zbl 1054.35061
The two dimensional motion of a rigid body in a Navier-Stokes fluid is studied. The existence and uniqueness of a global solution is proved. The main mathematical tool is the contraction theorem. Some new and interesting estimates are given, related with the classical Sobolev embedding theorem. The main result is used to prove the existence and uniqueness of the weak solution. This last proof is similar to a previous result for the Navier-Stokes equations.

35Q30 Navier-Stokes equations
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
Full Text: DOI