73 citations · 445 across the 43 of their papers we have counts for
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On the "viscous incompressible fluid + rigid body" system with Navier conditions
Gabriela Planas, Franck Sueur
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. The whole system "vis…
Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system
Olivier Glass, Franck Sueur
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 where the initial vort…
On the inviscid limit for the compressible Navier-Stokes system in an impermeable bounded domain
Franck Sueur
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 kinds of boundary con…
Smoothness of the flow map for low-regularity solutions of the Camassa-Holm equations
Olivier Glass, Franck Sueur
It was recently proven by De Lellis, Kappeler, and Topalov that the periodic Cauchy problem for the Camassa-Holm equations is locally well-posed in the space Lip (T) endowed with t…
Uniqueness results for weak solutions of two-dimensional fluid-solid systems
Olivier Glass, Franck Sueur
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 corresponds to an invis…