97 citations · 327 across the 42 of their papers we have counts for
5 papers · 2 filters
Compressible perturbation of Poiseuille type flow
Piotr B. Mucha, Tomasz Piasecki
The paper examines the issue of stability of Poiseuille type flows in regime of compressible Navier-Stokes equations in a three dimensional finite pipe-like domain. We prove the ex…
A local existence result for system of viscoelasticity with physical viscosity
Marta Lewicka, Piotr B. Mucha
We prove the local in time existence of the classical solutions to the system of equations of isothermal viscoelasticity with clamped boundary conditions. We deal with a general fo…
Well-posedness of sudden directional diffusion equations
Piotr Bogusław Mucha, Piotr Rybka
Our goal is to establish existence with suitable initial data of solutions to general parabolic equation in one dimension, , where is merely a monotone function…
Incompressible flows with piecewise constant density
Raphaël Danchin, Piotr B. Mucha
We investigate the incompressible Navier-Stokes equations with variable density. The aim is to prove existence and uniqueness results in the case of discontinuous ini- tial density…
New maximal regularity results for the heat equation in exterior domains, and applications
Raphaël Danchin, Piotr B. Mucha
This paper is dedicated to the proof of new maximal regularity results involving Besov spaces for the heat equation in the half-space or in bounded or exterior domains of R^n. We s…