Browsing by Author "Nordbotten, Jan Martin"
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- ItemMixed-dimensional models for real-world applications(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH, 2019) Nordbotten, Jan MartinWe explore mathematical models for physical problems in which it is necessary to simultaneously consider equations in different dimensions; these are called mixed-dimensional models. We first give several examples, and then an overview of recent progress made towards finding a general method of solution of such problems.
- ItemReactive Flows in Deformable, Complex Media(Zürich : EMS Publ. House, 2014) Nordbotten, Jan Martin; Pop, Iuliu Sorin; Wohlmuth, BarbaraMany processes of highest actuality in the real life are described through systems of equations posed in complex domains. Of particular interest is the situation when the domain is variable, undergoing deformations that depend on the unknown quantities of the model. Such kind of problems are encountered as mathematical models in the subsurface, or biological systems. Such models include various processes at different scales, and the key issue is to integrate the domain deformation in the multi-scale context. Having this as the background theme, this workshop focused on novel techniques and ideas in the analysis, the numerical discretization and the upscaling of such problems, as well as on applications of major societal relevance today.