Browsing by Author "Titi, Edriss S."
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- ItemAnalytical and Statistical Approaches to Fluid Models(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2000) Mielke, Alexander; Titi, Edriss S.[no abstract available]
- 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.
- 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.
- ItemLocal Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations(Berlin ; Heidelberg : Springer, 2021) Liu, Xin; Titi, Edriss S.This work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It is shown that strong solutions exist, are unique, and depend continuously on the initial data, for a short time in two cases: with gravity but without vacuum, and with vacuum but without gravity. © 2021, The Author(s).
- 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.
- ItemMathematical Aspects of Hydrodynamics(Zürich : EMS Publ. House, 2012) Friedlander, Susan; Seregin, Gregory; Titi, Edriss S.The workshop dealt with the partial differential equations that describe fluid motion, namely the Euler equations and the Navier-Stokes equations. Many of the lectures concerned questions of existence and regularity of solutions, possibly weak solutions, of these equations and somewhat simpler variants.
- ItemMathematical Aspects of Hydrodynamics(Zürich : EMS Publ. House, 2015) Friedlander, Susan; Seregin, Gregory; Titi, Edriss S.The workshop dealt with the partial differential equations that describe fluid motion, namely the Euler equations and the Navier-Stokes equations. This included topics in both inviscid and viscous fluids in two and three dimensions. A number of the talks were connected with issues of turbulence. Some talks addressed aspects of fluid dynamics such as magnetohydrodynamics, quantum and high energy physics, liquid crystals and the particle limit governed by the Boltzmann equations.
- ItemMathematical Aspects of Hydrodynamics(Zürich : EMS Publ. House, 2019) Mazzucato, Anna; Seregin, Gregory; Titi, Edriss S.The workshop dealt with the partial differential equations that describe fluid motion and related topics. These topics included both inviscid and viscous fluids in two and three dimensions. Some talks addressed aspects of fluid dynamics such as the construction of wild weak solutions, compressible shock formation, inviscid limit and behavior of boundary layers, as well as both polymer/fluid and structure/fluid interaction.