Event Type:

Department Colloquium

Date/Time:

Monday, October 12, 2015 - 16:00 to 17:00

Location:

KIdder 350

Guest Speaker:

Institution:

Institute of Mathematics AS Czech Republic

Abstract:

The dynamics of fluids, i.e. liquids and gases, is an important part of the continuum mechanics. This lecture is devoted to the qualitative analysis of mathematical models of motion of a viscous incompressible fluid around a compact body *B*, translating and rotating in the fluid with given time-independent translational and angular velocities *u _{∞}* and

**References:**

[1] P. Deuring, S. Kračmar, Š. Nečasová, *Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity*, J. Differential Equations 255 (2013), no. 7, 1576–1606.

[2] P. Deuring, S. Kračmar and Š. Nečasová, *On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies*, SIAM J. Math. Anal., 43 (2011), 705–738.

[3] R. Farwig, M. Krbec and Š. Nečasová, *A weighted L ^{q} - approach to Oseen flow around a rotating body*, Math. Methods Appl. Sci. 31 (2008), 551–574.

[4] R. Farwig, M. Krbec and Š. Nečasová, *A weighted L ^{q} - approach to Stokes flow around a rotating body*, Ann. Univ. Ferrara - Sez. VII. 54 (2008), 61–84.

[5] S. Kračmar, M. Krbec, Š. Nečasová, P. Penel and K. Schumacher, *Very weak solutions to the rotating Stokes, Oseen and Navier-Stokes problems in weighted spaces*, Submitted.

[6] G. P. Galdi and M. Kyed, *Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable*, Arch. Rat. Mech. Anal., 200 (2011), 21–58.

[7] E. A. Thomann and R. B. Guenther, The fundamental solution of the linearized Navier-Stokes equations for spinning bodies in three spatial dimensions – time dependent case, J. Math. Fluid Mech., 8 (2006), 77–98.

[8] E. Feireisl, M. Hillairet, Š. Nečasová. On the motion of several rigid bodies in an incompressible non-Newtonian fluid. Nonlinearity, 21, 1349–1366, 2008.

Host: