Proceedings of the American Mathematical Society, ISSN 0002-9939, 2018, p. 1

Journal Article

Science China Mathematics, ISSN 1674-7283, 6/2019, Volume 62, Issue 6, pp. 1205 - 1218

In this survey we report some recent results on the dynamics of a rigid body immersed in a two-dimensional incompressible perfect fluid, with an emphasis on...

fluid-structure interaction | 35F55 | 76B47 | point vortex | Mathematics | Applications of Mathematics | perfect incompressible fluid | MATHEMATICS | MATHEMATICS, APPLIED | MOTION

fluid-structure interaction | 35F55 | 76B47 | point vortex | Mathematics | Applications of Mathematics | perfect incompressible fluid | MATHEMATICS | MATHEMATICS, APPLIED | MOTION

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 11/2019

Journal Article

4.
Full Text
Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions

Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 1/2011, Volume 199, Issue 1, pp. 145 - 175

We tackle the issue of the inviscid limit of the incompressible Navier–Stokes equations when the Navier slip-with-friction conditions are prescribed on...

Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | DOMAIN | WALL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | LIMIT | MODEL | FLOW | Analysis | Boundary layer | Analysis of PDEs | Mathematics

Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | DOMAIN | WALL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | LIMIT | MODEL | FLOW | Analysis | Boundary layer | Analysis of PDEs | Mathematics

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 12/2012, Volume 316, Issue 3, pp. 783 - 808

The issue of the inviscid limit for the incompressible Navier-Stokes equations when a no-slip condition is prescribed on the boundary is a famous open problem....

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | SMOOTH SOLUTIONS | INCOMPRESSIBLE PERFECT FLUID | MOTION | VANISHING VISCOSITY | BODIES | BOUNDARY | WEAK SOLUTIONS | PHYSICS, MATHEMATICAL | VISCOUS-FLUID | EULER EQUATIONS | Fluid dynamics | Mathematics - Analysis of PDEs

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | SMOOTH SOLUTIONS | INCOMPRESSIBLE PERFECT FLUID | MOTION | VANISHING VISCOSITY | BODIES | BOUNDARY | WEAK SOLUTIONS | PHYSICS, MATHEMATICAL | VISCOUS-FLUID | EULER EQUATIONS | Fluid dynamics | Mathematics - Analysis of PDEs

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 10/2018, Volume 214, Issue 1, pp. 171 - 287

The point vortex system is usually considered as an idealized model where the vorticity of an ideal incompressible two-dimensional fluid is concentrated in a...

Mathematics, general | Mathematics | SYSTEM | MATHEMATICS | DOMAIN | VORTICES | BODIES | NEUMANN PROBLEM | 2 DIMENSIONS | Rigid structures | Electromagnetism | Computational fluid dynamics | Fluid flow | Two dimensional models | Three dimensional motion | Euler-Lagrange equation | Fluid pressure | Incompressible flow | Dynamics | Vortices | Ideal fluids | Vorticity | Differential equations | Lorentz force | Circulation | Analysis of PDEs

Mathematics, general | Mathematics | SYSTEM | MATHEMATICS | DOMAIN | VORTICES | BODIES | NEUMANN PROBLEM | 2 DIMENSIONS | Rigid structures | Electromagnetism | Computational fluid dynamics | Fluid flow | Two dimensional models | Three dimensional motion | Euler-Lagrange equation | Fluid pressure | Incompressible flow | Dynamics | Vortices | Ideal fluids | Vorticity | Differential equations | Lorentz force | Circulation | Analysis of PDEs

Journal Article

Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, 3/2014, Volume 16, Issue 1, pp. 163 - 178

In this paper we investigate the issue of the inviscid limit for the compressible Navier–Stokes system in an impermeable fixed bounded domain. We consider two...

Mathematical Methods in Physics | Fluid- and Aerodynamics | relative energy method | Compressible Navier–Stokes equations | 35Q30 | boundary layers | 76N20 | Physics | Classical Continuum Physics | inviscid limit | Compressible Navier-Stokes equations | PHYSICS, FLUIDS & PLASMAS | SUITABLE WEAK SOLUTIONS | HYDRODYNAMIC LIMITS | UNIQUENESS | LAYERS | RELATIVE ENTROPY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MOTION | ZERO-VISCOSITY LIMIT | BOLTZMANN-EQUATION | VISCOUS-FLUID | EULER EQUATIONS | Boundary layer | Mathematics - Analysis of PDEs

Mathematical Methods in Physics | Fluid- and Aerodynamics | relative energy method | Compressible Navier–Stokes equations | 35Q30 | boundary layers | 76N20 | Physics | Classical Continuum Physics | inviscid limit | Compressible Navier-Stokes equations | PHYSICS, FLUIDS & PLASMAS | SUITABLE WEAK SOLUTIONS | HYDRODYNAMIC LIMITS | UNIQUENESS | LAYERS | RELATIVE ENTROPY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MOTION | ZERO-VISCOSITY LIMIT | BOLTZMANN-EQUATION | VISCOUS-FLUID | EULER EQUATIONS | Boundary layer | Mathematics - Analysis of PDEs

Journal Article

Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 01/2014, Volume 31, Issue 1, pp. 55 - 80

In this paper we consider the motion of a rigid body in a viscous incompressible fluid when some Navier slip conditions are prescribed on the body's boundary....

Journal Article

Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 01/2015, Volume 14, Issue 1, pp. 1 - 68

We deal with the incompressible Navier-Stokes equations with vortex patches as initial data. Such data describe an initial configuration for which the...

MATHEMATICS | INCOMPRESSIBLE EULER | EVOLUTION | GLOBAL EXISTENCE | VANISHING VISCOSITY | STABILITY | CUSP-LIKE SINGULARITY | HOLDERIAN REGULARITY | RAREFACTION WAVES | EULER EQUATIONS | INVISCID LIMIT | Eulers equations | Navier Stokes equations | Asymptotic methods | Vortices | Asymptotic expansions | Incompressible flow | Fluids | Computational fluid dynamics | Mathematical analysis | Vorticity | Fluid flow | Navier-Stokes equations

MATHEMATICS | INCOMPRESSIBLE EULER | EVOLUTION | GLOBAL EXISTENCE | VANISHING VISCOSITY | STABILITY | CUSP-LIKE SINGULARITY | HOLDERIAN REGULARITY | RAREFACTION WAVES | EULER EQUATIONS | INVISCID LIMIT | Eulers equations | Navier Stokes equations | Asymptotic methods | Vortices | Asymptotic expansions | Incompressible flow | Fluids | Computational fluid dynamics | Mathematical analysis | Vorticity | Fluid flow | Navier-Stokes equations

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2011, Volume 251, Issue 12, pp. 3421 - 3449

We consider the incompressible Euler equations in a (possibly multiply connected) bounded domain Ω of R 2 , for flows with bounded vorticity, for which...

SYSTEM | MATHEMATICS | MECHANICS | INCOMPRESSIBLE PERFECT FLUID | EVOLUTION | SPACES | SPATIAL REGULARITY | VECTOR-FIELDS | EULER EQUATIONS | VORTEX

SYSTEM | MATHEMATICS | MECHANICS | INCOMPRESSIBLE PERFECT FLUID | EVOLUTION | SPACES | SPATIAL REGULARITY | VECTOR-FIELDS | EULER EQUATIONS | VORTEX

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 9/2014, Volume 330, Issue 3, pp. 1179 - 1225

In this paper we deal with weak solutions to the Maxwell–Landau–Lifshitz equations and to the Hall–Magneto–Hydrodynamic equations. First we prove that these...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | NONUNIQUENESS | INCOMPRESSIBLE EULER | NAVIER-STOKES EQUATIONS | CONSERVATION | DIMENSION | IDEAL HYDRODYNAMICS | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | EULER EQUATIONS | CONJECTURE | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | NONUNIQUENESS | INCOMPRESSIBLE EULER | NAVIER-STOKES EQUATIONS | CONSERVATION | DIMENSION | IDEAL HYDRODYNAMICS | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | EULER EQUATIONS | CONJECTURE | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 09/2019, Volume 267, Issue 6, pp. 3561 - 3577

We consider the motion of several rigid bodies immersed in a two-dimensional incompressible perfect fluid, the whole system being bounded by an external...

Analysis of PDEs | Mathematics

Analysis of PDEs | Mathematics

Journal Article

Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 05/2013, Volume 30, Issue 3, pp. 401 - 417

A famous result by Delort about the two-dimensional incompressible Euler equations is the existence of weak solutions when the initial vorticity is a bounded...

EQUATIONS | MATHEMATICS, APPLIED | INCOMPRESSIBLE PERFECT FLUID | REFLECTION SYMMETRY

EQUATIONS | MATHEMATICS, APPLIED | INCOMPRESSIBLE PERFECT FLUID | REFLECTION SYMMETRY

Journal Article

Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 11/2015, Volume 218, Issue 2, pp. 907 - 944

In this paper, we consider two systems modelling the evolution of a rigid body in an incompressible fluid in a bounded domain of the plane. The first system...

EXISTENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | INCOMPRESSIBLE PERFECT FLUID | MOTION | RIGID BODIES | EQUATIONS | MOVEMENT | VISCOUS-FLUID | BODY | FLOW | Analysis of PDEs | Mathematics

EXISTENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | INCOMPRESSIBLE PERFECT FLUID | MOTION | RIGID BODIES | EQUATIONS | MOVEMENT | VISCOUS-FLUID | BODY | FLOW | Analysis of PDEs | Mathematics

Journal Article

SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2012, Volume 44, Issue 5, pp. 3101 - 3126

We consider the motion of a rigid body immersed in an ideal flow occupying the plane with bounded initial vorticity. In that case there exists a unique...

Fluid-solid interactions | Perfect incompressible fluid | MATHEMATICS, APPLIED | INCOMPRESSIBLE PERFECT FLUID | perfect incompressible fluid | fluid-solid interactions | SMOOTHNESS | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Rigid-body dynamics | Norms | Boundaries | Two dimensional | Analysis of PDEs | Mathematics

Fluid-solid interactions | Perfect incompressible fluid | MATHEMATICS, APPLIED | INCOMPRESSIBLE PERFECT FLUID | perfect incompressible fluid | fluid-solid interactions | SMOOTHNESS | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Rigid-body dynamics | Norms | Boundaries | Two dimensional | Analysis of PDEs | Mathematics

Journal Article

Differential and Integral Equations, ISSN 0893-4983, 2014, Volume 27, Issue 7-8, pp. 625 - 642

In this note we consider the motion of a solid body in a two dimensional incompressible perfect fluid. We prove the global existence of solutions in the case...

Analysis of PDEs | Mathematics

Analysis of PDEs | Mathematics

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 02/2016, Volume 341, Issue 3, pp. 1015 - 1065

In this paper we consider the motion of a rigid body immersed in a two dimensional unbounded incompressible perfect fluid with vorticity. We prove that when...

IDEAL FLOW | PHYSICS, MATHEMATICAL | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

IDEAL FLOW | PHYSICS, MATHEMATICAL | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2012, Volume 140, Issue 6, pp. 2155 - 2168

The motion of a rigid body immersed in an incompressible perfect fluid which occupies a three-dimensional bounded domain has recently been studied under its...

Rigid structures | Tangents | Fluids | Riemann manifold | Geodesy | Vector fields | Euler equations of motion | Solids | Kinetics | Incompressible fluids | MATHEMATICS | fluid-rigid body interaction | BALL | MATHEMATICS, APPLIED | least action principle | RIGID-BODY | MOTION | STABILITY | DYNAMICS | Perfect incompressible fluid | Analysis of PDEs | Mathematics

Rigid structures | Tangents | Fluids | Riemann manifold | Geodesy | Vector fields | Euler equations of motion | Solids | Kinetics | Incompressible fluids | MATHEMATICS | fluid-rigid body interaction | BALL | MATHEMATICS, APPLIED | least action principle | RIGID-BODY | MOTION | STABILITY | DYNAMICS | Perfect incompressible fluid | Analysis of PDEs | Mathematics

Journal Article

Communications in Partial Differential Equations, ISSN 0360-5302, 01/2006, Volume 31, Issue 1, pp. 123 - 194

Journal Article

KINETIC AND RELATED MODELS, ISSN 1937-5093, 08/2019, Volume 12, Issue 4, pp. 681 - 701

In this paper, we are interested in the collective friction of a cloud of particles on the viscous incompressible fluid in which they are moving. The particle...

MATHEMATICS | MATHEMATICS, APPLIED | rigorous derivation | kinetic equation | NAVIER-STOKES EQUATIONS | Brinkman force | DOMAINS | HOMOGENIZATION | Stokes flow

MATHEMATICS | MATHEMATICS, APPLIED | rigorous derivation | kinetic equation | NAVIER-STOKES EQUATIONS | Brinkman force | DOMAINS | HOMOGENIZATION | Stokes flow

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.