Dieter Bothe

collaborators

4 papers

math.FA2026

Existence and qualitative theory for nonlinear accretive evolutions with Carathéodory forcing

Dieter Bothe

Let $A$ be $m$ -accretive in a real Banach space $X$ . Given closed sets $K (t) \subset X$ , we develop an existence theory for mild solutions of the constrained problem \[ u'(t)+Au(t)\…

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 $X_{n} = ρ ξ_{n - 1} + ξ_{n}$ , $n \in N$ , where $ρ \in R$ and $(ξ_{i})_{i \geq - 1}$ 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 $C^{1, 1}$ diffeomorphic to an axisymmetric reference-interface with a singular poi…