15 citations · 25 across the 3 of their papers we have counts for
6 papers · 1 filter
Existence of energy-variational solutions to hyperbolic conservation laws
Thomas Eiter, Robert Lasarzik
We introduce the concept of energy-variational solutions for hyperbolic conservation laws. Intrinsically, these energy-variational solutions fulfill the weak-strong uniqueness prin…
On the existence of weak solutions in the context of multidimensional incompressible fluid dynamics
Robert Lasarzik
We define the concept of energy-variational solutions for the Navier--Stokes and Euler equations. The underlying relative energy inequality holds as an equality for classical solut…
Dissipative solution to the Ericksen-Leslie system equipped with the Oseen-Frank energy
Robert Lasarzik
We analyze the Ericksen-Leslie system equipped with the Oseen-Frank energy in three space dimensions. The new concept of dissipative solutions is introduced. Recently, the author i…
Approximation and optimal control of dissipative solutions to the Ericksen--Leslie system
Robert Lasarzik
We analyze the Ericksen--Leslie system equipped with the Oseen--Frank energy in three space dimensions. Recently, the author introduced the concept of dissipative solutions. These…
Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model
Robert Lasarzik, Elisabetta Rocca, Giulio Schimperna
In this paper we prove the existence of weak solutions for a thermodynamically consistent phase-field model introduced in [26] in two and three dimensions of space. We use a notion…
Existence of weak solutions to a dynamic model for smectic-A liquid crystals under undulations
Etienne Emmrich, Robert Lasarzik
A nonlinear model due to Soddemann et al. [37] and Stewart [38] describing incompressible smectic-A liquid crystals under flow is studied. In comparison to previously considered mo…