Fluid-Rigid Body Interaction in an Incompressible Electrically Conducting Fluid
DOI10.1137/22m148255xarXiv2203.05953OpenAlexW4366987719MaRDI QIDQ6102365
Barbora Benešová, Anja Schlömerkemper, Šarka Matušú-Nečasová, Jan Scherz
Publication date: 8 May 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.05953
Navier-Stokes equationsfluid-structure interactionmagnetohydrodynamicsRothe methodBrinkman penalizationincompressible fluids
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Magnetohydrodynamics and electrohydrodynamics (76W05) Basic methods in fluid mechanics (76M99)
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Cites Work
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- A variational approach to the Navier-Stokes equations
- Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid
- Compact families of piecewise constant functions in \(L^p (0,T;B)\)
- Ordinary differential equations, transport theory and Sobolev spaces
- A vortex level set method for the two-way coupling of an incompressible fluid with colliding rigid bodies
- A penalization method to take into account obstacles in incompressible viscous flows
- Existence of weak solutions for the motion of rigid bodies in a viscous fluid
- Weakly continuous operators. Applications to differential equations
- Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
- On the motion of rigid bodies in a viscous incompressible fluid.
- On the motion of rigid bodies in a viscous compressible fluid
- Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
- On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma
- Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
- Motion of a rigid body in a compressible fluid with Navier-slip boundary condition
- An Introduction to Magnetohydrodynamics
- Strong solutions for the fluid–solid systems in a 2-D domain
- Convergence Analysis of a Penalization Method for the Three-Dimensional Motion of a Rigid Body in an Incompressible Viscous Fluid
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Chute libre d’un solide dans un fluide visqueux incompressible. existence
- Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 2D case
- Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case
- Existence of solutions for the equations
- Lp-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
- $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
- Existence of finite energy weak solutions for the equations MHD of compressible fluids
- Singular limits in thermodynamics of viscous fluids
- Nonlinear partial differential equations with applications
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