125 citations · 772 across the 51 of their papers we have counts for
4 papers · 1 filter
Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent
Dieter Bothe, Kohei Soga
We derive mathematical models of the elementary process of dissolution/growth of bubbles in a liquid under pressure control. The modeling starts with a fully compressible version,…
Global existence for a class of reaction-diffusion systems with mass action kinetics and concentration-dependent diffusivities
Dieter Bothe, Guillaume Rolland
In this work we study the existence of classical solutions for a class of reaction-diffusion systems with quadratic growth naturally arising in mass action chemistry when studying…
A graph-theoretical approach for the computation of connected iso-surfaces based on volumetric data
Abdulaziz Ali, Dieter Bothe
The existing combinatorial methods for iso-surface computation are efficient for pure visualization purposes, but it is known that the resulting iso-surfaces can have holes, and to…
Continuum thermodynamics of chemically reacting fluid mixtures
Dieter Bothe, Wolfgang Dreyer
We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common t…