18 citations · 35 across the 5 of their papers we have counts for
8 papers
Large self-similar solutions of a convection--diffusion equation
Xiaoxin Zheng, Dominika Pilarczyk, Grzegorz Karch +1
We construct self-similar solutions to a nonlinear convection--diffusion equation posed on the whole Euclidean space, for a class of homogeneous initial data. The corresponding sel…
Navier-Stokes equations in the half space with non compatible data
Andrea Argenziano, Marco Cannone, Marco Sammartino
In this paper we shall consider the Navier-Stokes equations in the half plane with Euler-type initial conditions, i.e. initial conditions which have a non-zero tangential component…
Stability of singular solutions to the Navier-Stokes system
Marco Cannone, Grzegorz Karch, Dominika Pilarczyk +1
We develop mathematical methods which allow us to study asymptotic properties of solutions to the three dimensional Navier-Stokes system for incompressible fluid in the whole three…
Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing
M. Cannone, C. Miao, L. Xue
We consider the 2D quasi-geostrophic equation with supercritical dissipation and dispersive forcing in the whole space. When the dispersive amplitude parameter is large enough, we…
Infinite energy solutions to the homogeneous Boltzmann equation
Marco Cannone, Grzegorz Karch
The goal of this work is to present an approach to the homogeneous Boltzmann equation for Maxwellian molecules with a physical collision kernel which allows us to construct unique…
Global existence for a system of non-linear and non-local transport equations describing the dynamics of dislocation densities
Marco Cannone, Ahmad El Hajj, Regis Monneau +1
In this paper, we study the global in time existence problem for the Groma-Balogh model describing the dynamics of dislocation densities. This model is a two-dimensional model wher…