Amru Hussein

activity

20122023

L^{p}

Well-Posedness of the 3D Primitive Equations with Heat and Salinity Diffusion

42 citations · 252 across the 23 of their papers we have counts for

collaborators

Showing 2017 · math.APShow all

4 papers · 2 filters

math.AP2017★ 1 cited

Primitive Equations with Linearly Growing Initial Data

Amru Hussein, Martin Saal, Okihiro Sawada

The primitive equations in a 3D infinite layer domain are considered with linearly growing initial data in the horizontal direction, which illustrates the global atmospheric rotati…

math.AP2017★ 33 cited

Analyticity of solutions to the primitive equations

Yoshikazu Giga, Mathis Gries, Matthias Hieber +2

This article presents the maximal regularity approach to the primitive equations. It is proved that the $3 D$ primitive equations on cylindrical domains admit a unique, global stron…

math.AP2017★ 12 cited

The Primitive Equations in the scaling invariant space $L^{\infty} (L^{1})$

Yoshikazu Giga, Mathis Gries, Matthias Hieber +2

Consider the primitive equations on $R^{2} \times (z_{0}, z_{1})$ with initial data $a$ of the form $a = a_{1} + a_{2}$ , where $a_{1} \in B U C_{σ} (R^{2}; L^{1} (z_{0}, z_{1}))$ and $a_2 \in L^\infty_σ(\R^2;L^1(…

math.AP2017★ 3 cited

Nematic Liquid Crystals in Lipschitz domains

Anupam Pal Choudhury, Amru Hussein, Patrick Tolksdorf

We consider the simplified Ericksen-Leslie model in three dimensional bounded Lipschitz domains. Applying a semilinear approach, we prove local and global well-posedness (assuming…

Primitive Equations with Linearly Growing Initial Data

Analyticity of solutions to the primitive equations

The Primitive Equations in the scaling invariant space L∞(L1)

Nematic Liquid Crystals in Lipschitz domains

The Primitive Equations in the scaling invariant space $L^{\infty} (L^{1})$