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From the 1 of 9 linked papers with an AI index.

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20242026
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9 papers

math.AP2026

Steady Motion of a Self-Propelled Body in a Viscous Fluid: Dirichlet Boundary Conditions with Nonzero Flux

Šárka Nečasová, Arnab Roy, Ana Leonor Silvestre

We study the steady self-propelled motion of a rigid body immersed in an incompressible viscous fluid occupying an exterior domain in . In a body-fixed reference fram…

math.AP2026

On the Vanishing Viscosity and Magnetic Diffusion Limit for Incompressible Magnetohydrodynamics

Sarka Necasova, Tong Tang, Yuanjing Tang

The paper establishes conditions under which solutions of the incompressible magnetohydrodynamics equations converge to ideal MHD solutions as viscosity and magnetic diffusion vani…

math.AP2026

Weak solutions and singular limits for a compressible fluid-structure interaction problem with slip boundary conditions

Yadong Liu, Sourav Mitra, Šárka Nečasová

We study a system describing the compressible barotropic fluids interacting with (visco) elastic solid shell/plate. In particular, the elastic structure is part of the moving bound…

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

A multifluid model with chemically reacting components -- construction of weak solutions

Piotr B. Mucha, Sarka Necasova, Maja Szlenk

We investigate the existence of weak solutions to a multi-component system, consisting of compressible chemically reacting components, coupled with the compressible Stokes equation…

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…