27 citations · 138 across the 24 of their papers we have counts for
6 papers · 1 filter
Analysis of a thermodynamically consistent Navier--Stokes--Cahn--Hilliard model
Robert Lasarzik
In this paper, existence of generalized solutions to a thermodynamically consistent Navier--Stokes--Cahn--Hilliard model introduced in [18] is proven in any space dimension. The ge…
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…
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness
Dietmar Hömberg, Robert Lasarzik
In this paper, we investigate a model describing induction hardening of steel. The related system consists of an energy balance, an ODE for the different phases of steel, and Maxwe…
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…
Maximal dissipative solutions for incompressible fluid dynamics
Robert Lasarzik
We introduce the new concept of maximal dissipative solutions for a general class of isothermal GENERIC systems. Under certain assumption, we show that maximal dissipative solution…