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math.AP2025
Steady Self-Propelled Motion of a Rigid Body in a Viscous Fluid with Navier-Slip Boundary Conditions
Sarka Necasova, Arnab Roy, Ana Leonor Silvestre
We investigate the steady self-propelled motion of a rigid body immersed in a three-dimensional incompressible viscous fluid governed by the Navier-Stokes equations. The analysis i…
math.AP2025
On an Euler-Schrödinger system appearing in laser-plasma interaction
Kuntal Bhandari, Bernard Ducomet, Šarka Nečasová +1
We consider the Cauchy problem for the barotropic Euler system coupled to a vector Schrödinger equation in the whole space. Assuming that the initial density and vector potential a…