Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Robert Lasarzik"'
Publikováno v:
Journal of Mathematics in Industry, Vol 11, Iss 1, Pp 1-19 (2021)
Abstract In topology optimization the goal is to find the ideal material distribution in a domain subject to external forces. The structure is optimal if it has the highest possible stiffness. A volume constraint ensures filigree structures, which ar
Externí odkaz:
https://doaj.org/article/353f35641fa44c95adb93b83d68db430
Publikováno v:
Journal of Mathematics in Industry, Vol 10, Iss 1, Pp 1-16 (2020)
Abstract The goal of this work is to describe in detail a quasi-stationary state model which can be used to deeply understand the distribution of the heat in a steel plate and the changes in the solid phases of the steel and into liquid phase during
Externí odkaz:
https://doaj.org/article/013d7b8acdcb4aaaa693c2ebf16da707
Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint
Publikováno v:
Computers & Mathematics with Applications. 126:100-114
A new approach to produce optimal porous mesostructures and at the same time optimizing the macro structure subject to a compliance cost functional is presented. It is based on a phase-field formulation of topology optimization and uses a local volum
Publikováno v:
Acta Applicandae Mathematicae. 184
We define the concept of energy-variational solutions for the Ericksen–Leslie equations in three spatial dimensions. This solution concept is finer than dissipative solutions and satisfies the weak-strong uniqueness property. For a certain choice o
Publikováno v:
Journal of Evolution Equations. 23
In this paper we consider a pair of coupled nonlinear partial differential equations describing the interaction of a predator–prey pair including random movement as well as prey-taxis. We introduce a concept of generalized solutions and show the ex
Autor:
Robert Lasarzik
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 73
We introduce the new concept of maximally dissipative solutions for a general class of isothermal GENERIC systems. Under certain assumptions, we show that maximally dissipative solutions are well-posed as long as the bigger class of dissipative solut
We consider a system of nonlinear PDEs modeling nematic electrolytes, and construct a dissipative solution with the help of its implementable, structure-inheriting and space–time discretization. Computational studies are performed to study the mutu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6807155627769dbcfb8198a2c022b0f
Autor:
Robert Lasarzik, Etienne Emmrich
Publikováno v:
Mathematical Methods in the Applied Sciences. 41:6492-6518
A quasistatic model due to Ericksen and Leslie describing incompressible liquid crystals is studied for a general class of free energies. Global existence of weak solutions is proven via a Galerkin approximation with eigenfunctions of a strongly elli
Autor:
Robert Lasarzik
Publikováno v:
Nonlinear Analysis. 213:112526
In this paper, existence of generalized solutions to a thermodynamically consistent Navier–Stokes–Cahn–Hilliard model introduced in Eleuteri et al. (2015) is proven in any space dimension. The generalized solvability concepts are measure-valued
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 of solution inspired by [18], where the pointwise internal energy bal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47f1933264e4af7dfe4c2d357830a3d5
http://arxiv.org/abs/1907.12816
http://arxiv.org/abs/1907.12816