Zobrazeno 1 - 10
of 142
pro vyhledávání: '"Emmrich, Etienne"'
Autor:
Emmrich, Etienne, Geuter, Lukas
In this paper, a model that was recently derived in Reinken et al. [11] to describe the dynamics of microswimmer suspensions is studied. In particular, the global existence of weak solutions, their weak-strong uniqueness and a connection to a differe
Externí odkaz:
http://arxiv.org/abs/2011.13204
Autor:
Eikmeier, André, Emmrich, Etienne
The initial value problem for a multivalued differential equation is studied, which is governed by the sum of a monotone, hemicontinuous, coercive operator fulfilling a certain growth condition and a Volterra integral operator in time of convolution
Externí odkaz:
http://arxiv.org/abs/1907.00017
Autor:
Emmrich, Etienne, Lasarzik, Robert
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 models, this particular model takes into account possible undulations of
Externí odkaz:
http://arxiv.org/abs/1812.09106
The initial value problem for an evolution equation of type $v' + Av + BKv = f$ is studied, where $A:V_A \to V_A'$ is a monotone, coercive operator and where $B:V_B \to V_B'$ induces an inner product. The Banach space $V_A$ is not required to be embe
Externí odkaz:
http://arxiv.org/abs/1806.06353
For initial value problems associated with operator-valued Riccati differential equations posed in the space of Hilbert--Schmidt operators existence of solutions is studied. An existence result known for algebraic Riccati equations is generalized and
Externí odkaz:
http://arxiv.org/abs/1803.11152
The initial-value problem for the perturbed gradient flow \[ B(t,u(t)) \in \partial\Psi_{u(t)}(u'(t))+\partial \mathcal E_t(u(t)) \text{ for a.a. } t\in (0,T),\qquad u(0)=u_0 \] with a perturbation $B$ in a Banach space $V$ is investigated, where the
Externí odkaz:
http://arxiv.org/abs/1801.05364
Autor:
Emmrich, Etienne, Lasarzik, Robert
We study the Ericksen-Leslie system equipped with a quadratic free energy functional. The norm restriction of the director is incorporated by a standard relaxation technique using a double-well potential. We use the relative energy concept, often app
Externí odkaz:
http://arxiv.org/abs/1712.00660
Autor:
Emmrich, Etienne, Lasarzik, Robert
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
Externí odkaz:
http://arxiv.org/abs/1711.10277
We present an existence result for a partial differential inclusion with linear parabolic principal part and relaxed one-sided Lipschitz multivalued nonlinearity in the framework of Gelfand triples. Our study uses discretizations of the differential
Externí odkaz:
http://arxiv.org/abs/1710.10591
In this article we discuss nonstationary models for inhomogeneous liquid crystals driven out of equilibrium by flow. Emphasis is put on those models which are used in the mathematics as well as in the physics literature, the overall goal being to ill
Externí odkaz:
http://arxiv.org/abs/1708.06937