Global Existence of Weak Solutions for Viscous Incompressible Flows around a Moving Rigid Body in Three Dimensions
By Max D. Gunzburger, Hyung-C. Lee, G A Seregin. 2000
175 citations recorded by the source corpus.
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2a76b23569b4f11c3a30b8f84e99120c43504327
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Steve Shkoller
- Daniel Coutand
- Marius Tucsnak
- Takéo Takahashi
- Nader Masmoudi
- Huihui Zeng
- Tao Luo
- Peter Constantin
In Control and Systems Engineering
- Steve Shkoller
- Daniel Coutand
- Marius Tucsnak
- Takéo Takahashi
- Enrique Zuazua
- Luc Miller
- Sylvain Ervedoza
- Emmanuel Trélat
In Mathematical Physics
- Steve Shkoller
- Daniel Coutand
- Marius Tucsnak
- Takéo Takahashi
- Nader Masmoudi
- Luc Miller
- Huihui Zeng
- Tao Luo
Citations in the corpus
- Lack of Collision Between Solid Bodies in a 2D Incompressible Viscous Flow (2007, background): “One of the main features of these weak solutions is that global ones exist, even if collision occurs in finite time (see [12, 11] in the incompressible 2D case and [7, 3, 5, 4] for 3D incompressible and compressible variants).”
- Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain (2003, background): “We mention here Desjardins and Esteban [4] and [5]; Conca, San Martin, and Tucsnak [3]; Gunzburger, Lee, and Seregin [ 13 ]; Hofimann and Starovoitov [16] and [17]; San Martin, Starovoitov, and Tucsnak [21] (with the domain of the ∞uid bounded); and Serre [22], Judakov [19], and Silvestre [23] (in t”
- Motion of an Elastic Solid inside an Incompressible Viscous Fluid (2004, background): “The above list of references for contributions to this area is by no means exhaustive; see for instance [4, 10, 13].”
- Global Weak Solutions¶for the Two-Dimensional Motion¶of Several Rigid Bodies¶in an Incompressible Viscous Fluid (2002, result): “The same type of result is obtained in [2, 3, 10 ] by different methods.”
- The Interaction between Quasilinear Elastodynamics and the Navier-Stokes Equations (2006, background): “The first fluid-solid interaction problems solved were for the case of a rigid body inside of a viscous flow in a bounded domain (see [7, 12, 4, 13]), and the case of a rigid body inside of a viscous flow in an infinite domain ([22, 20, 15]).”