3 papers
math.AP2024
Variational interacting particle systems and Vlasov equations
Peter Gladbach, Bernhard Kepka
We consider optimization problems for interacting particle systems. We show that critical points solve a Vlasov equation, and that in general no minimizers exist despite continuity…
math-ph2024
Characterizing the detailed balance property by means of measurements in chemical networks
Eugenia Franco, Bernhard Kepka, Juan J. L. Velázquez
In this paper we study how to determine if a linear biochemical network satisfies the detailed balance condition, without knowing the details of all the reactions taking place in t…
math.AP2023
Rotating solutions to the incompressible Euler-Poisson equation with external particle
Diego Alonso-Orán, Bernhard Kepka, Juan J. L. Velázquez
We consider a two-dimensional, incompressible fluid body, together with self-induced interactions. The body is perturbed by an external particle with small mass. The whole configur…