Showing 2019Show all
2 papers · 1 filter
math.AP2019
On global dynamics of reaction--diffusion systems at resonance
Piotr Kokocki
In this paper we use the homotopy invariants methods to study the global dynamics of the reaction-diffusion systems that are at resonance at infinity. Considering degrees of the re…
math.CA2019
On global solutions of defocusing mKdV equation with specific initial data of critical regularity
Kamil Dunst, Piotr Kokocki
We study the asymptotic behavior of the Ablowitz-Segur solutions for the second Painlevé equation using the Riemann-Hilbert approach and methods based on asymptotic expansions of c…