Browsing by Author "Hieber, Matthias"
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- ItemGeophysical Fluid Dynamics(Zürich : EMS Publ. House, 2013) Hieber, Matthias; Titi, Edriss S.The workshop “Geophysical Fluid Dynamics” addressed recent advances in analytical, stochastic, modeling and computational studies of geophysical rotating fluids models. Of particular interest on the analytical and stochastic sides were the contributions concerning dispersive mechanism, regularity verses finite-time formation of singularities of certain viscous and inviscid geostrophic models, the primitive equations, Boussinesq approximation, boundary layers and fast rotating fluids. Model reductions, based on asymptotic, scaling analysis and variational methods, were presented. In addition, computational investigations were provided in support of the claim that three-dimensional geophysical turbulent flows exhibit two-dimensional features, at small Rosby numbers.
- ItemGeophysical Fluid Dynamics(Zürich : EMS Publ. House, 2017) Hieber, Matthias; Titi, Edriss S.The workshop “Geophysical Fluid Dynamics” addressed recent advances in analytical, stochastic, modeling and computational studies of geophysical fluid models. Of central interest were the reduced geophysical models, that are derived by means of asymptotic and scaling techniques, and their investigations by methods from the above disciplines. In particular, contributions concerning the viscous and inviscid geostrophic models, the primitive equations of oceanic and atmospheric dynamics, tropical atmospheric models and their coupling to nonlinear dynamics of phase changes moisture, thermodynamical effects, stratifying effects, as well as boundary layers were presented and discussed.
- ItemMathematical Advances in Geophysical Fluid Dynamics (online meeting)(Zürich : EMS Publ. House, 2020) Hieber, Matthias; Korn, Peter; Titi, Edriss S.This workshop on "Mathematical Advances in Geophysical Fluid Dynamics" was organized as an online seminar and addressed recent advances in analytical, modeling and computational studies of geophysical fluid models. Of particular interest were the contributions concerning modeling and computation of sea-ice models, well-posedness results for the primitive equations, internal waves for stratified flows and models for moist atmospheric dynamics including phase transitions.
- ItemQuasilinear parabolic systems with mixed boundary conditions(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Hieber, Matthias; Rehberg, JoachimIn this paper we investigate quasilinear systems of reaction-diffusion equations with mixed Dirichlet-Neumann bondary conditions on non smooth domains. Using techniques from maximal regularity and heat-kernel estimates we prove existence of a unique solution to systems of this type.