Mathis Gries

most citedAnalyticity of solutions to the primitive equations

33 citations · 66 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.AP2018★ 21 cited

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 $3$ -d primitive equations in a layer domain $Ω = G \times (- h, 0)$ , $G = (0, 1)^{2}$ , subject to mixed Dirichlet and Neumann boundary conditions at $z = - h$ and $z = 0$ , respectiv…

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(…

The Hydrostatic Stokes Semigroup and Well-Posedness of the Primitive Equations on Spaces of Bounded Functions

Analyticity of solutions to the primitive equations

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

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