2 papers
math.AP2025
Yang-Mills instanton on a four dimensional wormhole: asymptotic stability in the energy space
Michał Kowalczyk, Javier Monreal
In this paper we consider an Yang-Mills field propagating in the dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduce…
math.AP2024
Variational Approach for the Singular Perturbation Domain Wall System
Javier Monreal, Michał Kowalczyk
In this article we study a coupled system of differential equations with Allen-Cahn type non-linearity. Motivated by physical phenomena one of the unknowns in the system is accompa…