90 citations · 259 across the 20 of their papers we have counts for
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Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids
Matthias Hieber, Hirokazu Saito
Consider the two-phase free boundary problem subject to surface tension and gravitational forces for a class of non-Newtonian fluids with stress tensors of the form $T_i=-πI+…
Strong Time-Periodic Solutions to the 3D Primitive Equations subject to Arbitrary Large Forces
Giovanni P. Galdi, Matthias Hieber, Takahito Kashiwabara
We show that the three-dimensional primitive equations admit a strong time-periodic solution of period , provided the forcing term is a time-p…
Global Strong Well-posedness of the Three Dimensional Primitive equations in -spaces
Matthias Hieber, Takahito Kashiwabara
In this article, an -approach to the primitive equations is developed. In particular, it is shown that the three dimensional primitive equations admit a unique, global strong…
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…