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New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries

dc.date.accessioned2019-10-24T14:01:43Z
dc.date.available2019-10-24T14:01:43Z
dc.date.issued2010
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3165
dc.description.abstractThe field of mathematical and numerical analysis of systems of nonlinear partial differential equations involving interfaces and free boundaries is a flourishing area of research. Many such systems arise from mathematical models in material science, fluid dynamics and biology, for example phase separation in alloys, epitaxial growth, dynamics of multiphase fluids, evolution of cell membranes and in industrial processes such as crystal growth. The governing equations for the dynamics of the interfaces in many of these applications involve surface tension expressed in terms of the mean curvature and a driving force. Here the forcing terms depend on variables that are solutions of additional partial differential equations which hold either on the interface itself or in the surrounding bulk regions. Often in applications of these mathematical models, suitable performance indices and appropriate control actions have to be specified. Mathematically this leads to optimization problems with partial differential equation constraints including free boundaries. Because of the maturity of the field of computational free boundary problems it is now timely to consider such control problems.
dc.titleNew Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWR-2010-7
local.series.idOWR-2010-7
local.subject.msc65
local.subject.msc49
local.subject.msc35
local.sortindex605
local.date-range31 Jan - 06 Feb 2010
local.workshopcode1005
local.workshoptitleNew Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries
local.organizersCharles M. Elliott, Warwick; Yoshikazu Giga, Tokyo; Michael Hinze, Hamburg; Vanessa Styles, Brighton
local.report-nameWorkshop Report 2010,7
local.opc-photo-id1005
local.publishers-doi10.4171/OWR/2010/07
local.ems-referenceElliott Charles, Giga Yoshikazu, Hinze Michael, Styles Vanessa: New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries. Oberwolfach Rep. 7 (2010), 253-324. doi: 10.4171/OWR/2010/07


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