Erweiterte Suche der Leibniz Universität Hannover

Symmetry of steady deep water waves with vorticity verfasst von Adrian Constantin, Joachim Escher Abstract For a large class of vorticities we prove that a steady periodic deep water wave must be symmetric if its profile is monotone between crests and troughs. Organisationseinheit en Institut für Angewandte Mathematik Externe Organisation en Lund University Typ Artikel Journal European Journal of Applied Mathematics Band 15 Seiten 755...

Steady periodic equatorial water waves with vorticity verfasst von Jifeng Chu, Joachim Escher Abstract Of concern are steady two dimensional periodic geophysical water waves of small amplitude near the equator.

The geometry of a vorticity model equation verfasst von Joachim Escher, Boris Kolev, Marcus Wunsch Abstract We show that the modified Constantin Lax Majda equation modeling vortex and quasi geostrophic dynamics 27 can be recast as the geodesic flow on the subgroup Diff 1 S of orientation preserving diffeomorphisms Diff S such that 1 1 equipped with the right invariant metric induced by the homogeneous Sobolev norm 1/2 .

Symmetry of steady deep water waves with vorticity verfasst von Adrian Constantin, Joachim Escher Abstract For a large class of vorticities we prove that a steady periodic deep water wave must be symmetric if its profile is monotone between crests and troughs. Organisationseinheit en Institut für Angewandte Mathematik Externe Organisation en Lund University Typ Artikel Journal European Journal of Applied Mathematics Band 15 Seiten 755...

Two component equations modelling water waves with constant vorticity verfasst von Joachim Escher, David Henry, Boris Kolev, Tony Lyons Abstract In this paper, we derive a two component system of nonlinear equations which models two dimensional shallow water waves with constant vorticity.

Restrictions on the geometry of the periodic vorticity equation verfasst von Joachim Escher, Marcus Wunsch Abstract We prove that several evolution equations arising as mathematical models for fluid motion cannot be realized as metric Euler equations on the Lie group DIFF 1 of all smooth and orientation preserving diffeomorphisms on the circle.

Symmetry of steady periodic surface water waves with vorticity verfasst von Adrian Constantin, Joachim Escher Abstract For large classes of vorticities we prove that a steady periodic gravity water wave with a monotonic profile between crests and troughs must be symmetric.

On the analyticity of periodic gravity water waves with integrable vorticity function verfasst von Joachim Escher, Bogdan Vasile Matioc Abstract We prove that the streamlines and the profile of periodic gravity water waves traveling over a flat bed with wavespeed which exceeds the horizontal velocity of all fluid particles are real analytic graphs if the vorticity function is merely integrable. Organisationseinheit en Institu...

Variational formulations of steady rotational equatorial waves verfasst von Jifeng Chu, Joachim Escher Abstract When the vorticity is monotone with depth, we present a variational formulation for steady periodic water waves of the equatorial flow in the f plane approximation, and show that the governing equations for this motion can be obtained by studying variations of a suitable energy functional in terms of the stream function and ...

Calin Martin, Universität Wien On the three dimensional water wave problem: explicit solutions and stability results On the three dimensional water wave problem: explicit solutions and stability results We present some new results concerning water flows with vorticity. Assuming a constant vorticity vector we characterize the solutions to the three dimensional water wave problem with and without geophysical effects. Solutions ...

Calin Martin (Universität Wien) On the three-dimensional water wave problem: explicit solutions and stability results We present some new results concerning water flows with vorticity. Assuming a constant vorticity vector we characterize the solutions to the three- dimensional water wave problem with and without geophysical effects. Solutions that exhibit non-constant vorticity will also be discussed. Dienstag, 04.05...

Calin Martin (Universität Wien) On the three-dimensional water wave problem: explicit solutions and stability results We present some new results concerning water flows with vorticity. Assuming a constant vorticity vector we characterize the solutions to the three- dimensional water wave problem with and without geophysical effects. Solutions that exhibit non-constant vorticity will also be discussed. Dienstag, 04.05...

Calin Martin (Universität Wien) On the three-dimensional water wave problem: explicit solutions and stability results We present some new results concerning water flows with vorticity. Assuming a constant vorticity vector we characterize the solutions to the three- dimensional water wave problem with and without geophysical effects. Solutions that exhibit non-constant vorticity will also be discussed. Dienstag, 04.05...

Calin Martin (Universität Wien) On the three-dimensional water wave problem: explicit solutions and stability results We present some new results concerning water flows with vorticity. Assuming a constant vorticity vector we characterize the solutions to the three- dimensional water wave problem with and without geophysical effects. Solutions that exhibit non-constant vorticity will also be discussed. Dienstag, 04.05...

Calin Martin (Universität Wien) On the three-dimensional water wave problem: explicit solutions and stability results We present some new results concerning water flows with vorticity. Assuming a constant vorticity vector we characterize the solutions to the three- dimensional water wave problem with and without geophysical effects. Solutions that exhibit non-constant vorticity will also be discussed. Dienstag, 04.05...