Global Existence of Weak Solutions for Viscous Incompressible Flows around a Moving Rigid Body in Three Dimensions

@inproceedings{GunzburgerGlobalEO,
  title={Global Existence of Weak Solutions for Viscous Incompressible Flows around a Moving Rigid Body in Three Dimensions},
  author={Max D. Gunzburger and Hyung-Chun Lee and G. Seregin}
}
We study the motion of a rigid body of arbitrary shape immersed in a viscous incompressible fluid in a bounded, three-dimensional domain. The motion of the rigid body is caused by the action of given forces exerted on the fluid and on the rigid body. For this problem, we prove the global existence of weak solutions. Mathematics Subject Classification (2000). 35Q30, 35D05, 76D05. 

From This Paper

Topics from this paper.
36 Citations
8 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-8 of 8 references

Some problems of vector analysis and generalized formulations of boundary value problems for the Navier–Stokes equations

  • O. Ladyzhenskaya, V. Solonnikov
  • Zap. Nauchn Sem Lenigrad. Otdel, Mat. Inst…
  • 1978
Highly Influential
3 Excerpts

On the steady fall of a body in a Navier–Stokes fluid

  • H. Weinberger
  • Proc. Symposia Pure Math. XXIII, AMS, Providence…
  • 2000
1 Excerpt

On the steady self-propelled motion of a body in a viscous incompressible fluid

  • G. Galdi
  • Arch. Rat. Mech. Anal. 148
  • 1999
1 Excerpt

Chute libre d’un solide dans un fluids visqueux incompressible

  • D. Serre
  • Existence, Japan J. Appl. Math. 4
  • 1987
1 Excerpt

Mathematical Problems of the Dynamics of Viscous Incompressible Fluids

  • O. Ladyzhenskaya
  • Fizmatgiz, Moscow 1961; English translation…
  • 1970
1 Excerpt

On existence of weak solutions of the Navier–Stokes equations in regions with moving boundaries

  • H. Fujita, N. Sauer
  • J. Fac. Sci. Univ. Tokyo, Sec 1A 17
  • 1970
1 Excerpt

Initial-boundary problem for Navier–Stokes equations in domains with time-varing boundaries

  • O. Ladyzhenskaya
  • Boundary Value Problems of Mathematical Physics…
  • 1968
1 Excerpt

Similar Papers

Loading similar papers…