3 papers
math.AP2025
A note on relations between convexity and concavity of thermodynamic functions
Mária LukáÄová-Medvid'ová, Ferdinand Thein, Gerald Warnecke +1
The paper is concerned with proving the equivalence of convexity or concavity properties of thermodynamic functions, such as energy and entropy, depending on different sets of vari…
math.NA2025
On conservative, stable boundary and coupling conditions for diffusion equations I -- The conservation property for explicit schemes
Taj Munir, Nagaiah Chamakuri, Gerald Warnecke
This paper introduces improved numerical techniques for addressing numerical boundary and interface coupling conditions in the context of diffusion equations in cellular biophysics…
math.AP2025
Balance Laws and Transport Theorems for Flows with Singular Interfaces
Ferdinand Thein, Gerald Warnecke
This paper gives a concise but rigorous mathematical description of a material control volume that is separated into two parts by a singular surface at which physical states are di…