3 papers
math.AP2025
Tools for stability analysis of fractional reaction diffusion systems
Sofwah Ahmad, Szymon Cygan, Grzegorz Karch
The linearization principle states that the stability (or instability) of solutions to a suitable linearization of a nonlinear problem implies the stability (or instability) of sol…
math.AP2025
Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field
Lorenzo Brandolese, Grzegorz Karch
The Navier-Stokes system for an incompressible fluid coupled with the equation for a heat transfer is considered in the whole three dimensional space. This system is invariant unde…
math.AP2024
Solutions at vacuum and rarefaction waves in pressureless Euler alignment system
Szymon Cygan, Grzegorz Karch
We construct global-in-time weak solutions to the pressureless Euler alignment system posed on the whole line and supplemented with initial conditions, where an initial density is…