https://puma.ub.uni-stuttgart.de/group/simtech/problemPUMA RSS feed for /group/simtech/problem2026-04-22T08:44:00+02:00https://puma.ub.uni-stuttgart.de/bibtex/215cbaa595a6eb4993ab86ab418376c26/elkepeterelkepeter2023-03-27T11:18:04+02:00Lienstromberg IADM problem MEMS quasilinear evolution modelling <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christina Lienstromberg" itemprop="url" href="/person/164986724c4398d14ae2c3ea8f153a653/author/0"><span itemprop="name">C. Lienstromberg</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">J. Evol. Equ.</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">17 </span></span>(<span itemprop="issueNumber">4</span>): <span itemprop="pagination">1129--1150</span></em> </span>(<em><span>2017<meta content="2017" itemprop="datePublished"/></span></em>)</span>Mon Mar 27 11:18:04 CEST 2023J. Evol. Equ.41129--1150Well-posedness of a quasilinear evolution problem modelling {MEMS} with general permittivity172017Lienstromberg IADM problem MEMS quasilinear evolution modelling "Subject of consideration is the analytical investigation of a coupled system of partial differential equations arising from the modelling of electrostatically actuated microelectromechanical systems with general permittivity profile. A quasilinear parabolic evolution problem for the displacement u of an elastic membrane is coupled with an elliptic free boundary value problem that determines the electrostatic potential ψ in the region between the elastic membrane and a rigid ground plate. The system is shown to be well-posed locally in time for all arbitrarily large values λ of the applied voltage, whereas small values of the applied voltage, which do not exceed a certain critical value λ∗, do even allow globally in time existing solutions. In addition, conditions are specified which force solutions emerging from a non-positive initial deflection to stay non-positive as long as they exist.''https://puma.ub.uni-stuttgart.de/bibtex/2d6d3f42f903769354166ce263dfcdcd4/mhartmannmhartmann2018-07-20T10:54:15+02:00liquid-vapor stability, interface, adjoint symmetrizer, energy problem condition, uniform linearized estimate, well-posedness, Kreiss vorlaeufig Kreiss�Lopatinskii? <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Bugra Kabil" itemprop="url" href="/person/127fffda610d3c09f0cff351297745da3/author/0"><span itemprop="name">B. Kabil</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/127fffda610d3c09f0cff351297745da3/author/1"><span itemprop="name">C. Rohde</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Math. Meth. Appl. Sci.</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">39 </span></span>(<span itemprop="issueNumber">18</span>): <span itemprop="pagination">5409--5426</span></em> </span>(<em><span>2016<meta content="2016" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:54:15 CEST 2018Math. Meth. Appl. Sci.185409--5426Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension392016liquid-vapor stability, interface, adjoint symmetrizer, energy problem condition, uniform linearized estimate, well-posedness, Kreiss vorlaeufig Kreiss�Lopatinskii?