activity
20192024
most citedOn the structure of continuum thermodynamical diffusion fluxes -- A novel closure scheme and its relation to the Maxwell-Stefan and the Fick-Onsager approach

4 citations · 12 across the 11 of their papers we have counts for

collaborators

14 papers

physics.flu-dyn2024

Compressibility and volume variations due to composition in multicomponent fluids

Pierre-Etienne Druet

For single components fluids, vanishing isothermal compressibility implies that the mass density is constant, but the same conclusion is unknown for multicomponent fluids. Here the…

physics.flu-dyn2024

The initial acceleration of a buoyant spherical bubble revisited

Dieter Bothe, Jun Liu, Pierre-Etienne Druet +3

An analytical derivation of the buoyancy-induced initial acceleration of a spherical gas bubble in a host liquid is presented. The theory makes no assumptions further than applying…

math.PR2024

Persistence exponents via perturbation theory: MA(1)-processes

Frank Aurzada, Dieter Bothe, Pierre-Étienne Druet +2

For the moving average process , , where and is an i.i.d. sequence of normally distributed random variables, we…

math.AP2024

Gradient and Hessian regularity in elliptic transmission problems near a point cusp

Dieter Bothe, Pierre-Etienne Druet, Robert Haller

We consider elliptic transmission problems in several space dimensions near an interface which is diffeomorphic to an axisymmetric reference-interface with a singular poi…

math.AP2024

A regularity result for quasilinear elliptic systems with an equation of energy-type

Pierre-Etienne Druet

We study the continuity of weak solutions for quasilinear elliptic systems with source terms of critical growth arising from a transport-energy structure. The latter occurs frequen…

math.AP2022★ 4 cited

Hyperbolic-parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion

Pierre-Étienne Druet, Katharina Hopf, Ansgar Jüngel

We investigate degenerate cross-diffusion equations with a rank-deficient diffusion matrix that are considered to model populations which move as to avoid spatial crowding and have…