15 citations · 25 across the 2 of their papers we have counts for
5 papers
Numerical Analysis for Nematic Electrolytes
Ľubomír Baňas, Robert Lasarzik, Andreas Prohl
We consider a system of nonlinear PDEs modeling nematic electrolytes, and construct a dissipative solution with the help of its implementable, structure-inheriting space-time discr…
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…