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math.AP2021
Double spiral singularities for a flow of regular planar curves
Piotr Kokocki, Kamil Dunst
In this paper we study the singularity formation for the geometric flow of complex curves that was derived [R. E. Goldstein and D.…
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.AP2015
Periodic solutions for nonlinear evolution equations at resonance
Piotr Kokocki
We are concerned with periodic problems for nonlinear evolution equations at resonance of the form , where a densely defined linear operator $A\c…