output
19922026
most citedSpecificity and stability in topology of protein networks

3.1k citations

Showing 2023 · math.APShow all

5 papers · 2 filters

math.AP2023

Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems

José Antonio Carrillo, Sondre Tesdal Galtung

We study distributional solutions of pressureless Euler systems on the line. In particular we show that Lagrangian solutions, introduced by Brenier, Gangbo, Savaré and Westdickenbe…

math.AP2023

Nonlocal degenerate parabolic hyperbolic equations on bounded domains

Nathaël Alibaud, Jørgen Endal, Espen Jakobsen +1

We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations on bounded domains with general Dirichl…

math.AP2023★ 6 cited

Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights

Immanuel Ben Porat, José A. Carrillo, Sondre T. Galtung

The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results [1,8] for the case…

math.AP2023★ 5 cited

A Lipschitz metric for -dissipative solutions to the Hunter-Saxton equation

Katrin Grunert, Matthew Tandy

We explore the Lipschitz stability of solutions to the Hunter-Saxton equation with respect to the initial data. In particular, we study the stability of -dissipative solutions…

math.AP2023★ 5 cited

Inverse problems for a model of biofilm growth

Tommi Brander, Daniel Lesnic, Kai Cao

A bacterial biofilm is an aggregate of micro-organisms growing fixed onto a solid surface, rather than floating freely in a liquid. Biofilms play a major role in various practical…