3 citations · 5 across the 2 of their papers we have counts for
6 papers · 1 filter
-Helmholtz-Weyl decomposition for three dimensional exterior domains
Matthias Hieber, Hideo Kozono, Anton Seyfert +2
In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the -setting for .
Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations
Ken Furukawa, Yoshikazu Giga, Matthias Hieber +3
Consider the anisotropic Navier-Stokes equations as well as the primitive equations. It is shown that the horizontal velocity of the solution to the anisotropic Navier-Stokes equat…
The Hydrostatic Stokes Semigroup and Well-Posedness of the Primitive Equations on Spaces of Bounded Functions
Yoshikazu Giga, Mathis Gries, Matthias Hieber +2
Consider the -d primitive equations in a layer domain , , subject to mixed Dirichlet and Neumann boundary conditions at and , respectiv…
Strong Time Periodic Solutions to the Bidomain Equations with FitzHugh-Nagumo Type Nonlinearities
Matthias Hieber, Naoto Kajiwara, Klaus Kress +1
Consider the bidomain equations subject to ionic transport described by the models of FitzHugh-Nagumo, Aliev-Panfilov, or Rogers-McCulloch. It is proved that this set of equations…
Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows
Matthias Hieber, Jan Pruess
The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothe…
Dynamics of Nematic Liquid Crystal Flows: the Quasilinear Approach
Matthias Hieber, Manuel Nesensohn, Jan Prüss +1
Consider the (simplified) Leslie-Erickson model for the flow of nematic liquid crystals in a bounded domain for n > 1$. This article develops a complete dyn…