7 papers · 1 filter
Weak solutions and weak-strong uniqueness for a Cahn-Hilliard type model with chemotaxis
Robert Lasarzik, Elisabetta Rocca, Giulio Schimperna
We prove existence of weak solutions and weak-strong uniqueness for a mathematical model which couples the evolution of a phase-parameter satisfying a Cahn-Hilliard type relat…
On the equivalence of generalized solution concepts for systems of hyperbolic conservations laws in fluid dynamics
Thomas Eiter, Robert Lasarzik, Emil Wiedemann
We investigate the relation between several generalized solution concepts for nonlinear PDE systems from fluid dynamics. More precisely, we study measure-valued solutions, dissipat…
Probabilistically Strong Solutions to Stochastic Euler Equations
Benjamin Gess, Robert Lasarzik
In this paper, we establish the existence of probabilistically strong, measure-valued solutions for the stochastic incompressible Navier--Stokes equations and prove their convergen…
Existence and selection of solutions in the energy-variational framework with applications in fluid dynamics
Thomas Eiter, Robert Lasarzik, Marcel ÅliwiÅski
We provide a novel existence result for energy-variational solutions to a general class of evolutionary partial differential equations. Compared to previous works on this solution…
Energy-variational solutions for geodynamical two-phase flows -- From logarithmic to double-obstacle potentials by variational convergence
Fan Cheng, Robert Lasarzik, Marita Thomas
In [Cheng, Lasarzik, Thomas 2025 ARXIV-Preprint 2509.25508], we studied a Cahn--Hilliard two-phase model describing the flow of two viscoelastoplastic fluids in the framework of di…
Analysis of a Cahn--Hilliard model for viscoelastoplastic two-phase flows
Fan Cheng, Robert Lasarzik, Marita Thomas
We study a Cahn--Hilliard two-phase model describing the flow of two viscoelastoplastic fluids, which arises in geodynamics. A phase-field variable indicates the proportional distr…