Erweiterte Suche der Leibniz Universität Hannover

Symmetry of steady deep water waves with vorticity authored by 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. Organisation s Institute of Applied Mathematics External Organisation s Lund University Type Article Journal European Journal of Applied Mathematics Volume 15 Pages 755 768 No. o...

Symmetry of steady periodic surface water waves with vorticity authored by 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.

Symmetry of steady periodic surface water waves with vorticity authored by 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.

Analyticity of periodic traveling free surface water waves with vorticity verfasst von Adrian Constantin, Joachim Escher Abstract We prove that the profile of a periodic traveling wave propagating at the surface of water above a flat bed in a flow with a real analytic vorticity must be real analytic, provided the wave speed exceeds the horizontal fluid velocity throughout the flow. The real analyticity of each streamline bene...

On the analyticity of periodic gravity water waves with integrable vorticity function authored by 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. Organisation s Institute of Appl...

Calin Martin, University of Vienna 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. Soluti...

Calin Martin, University of Vienna 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. Soluti...

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 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 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 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, University of Vienna 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. Soluti...

Calin Martin, University of Vienna 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. Soluti...

A conjecture, dating back to da Rios in 1906, states that if the vorticity is initially concentrated around a closed curve, it remains concentrated for some time and the evolution of the curve is geometrically described by the binormal curvature flow. In a joint work with Bob Jared we focus on the second part of this conjecture and derive the binormal curvature flow under a weak vorticity concentration condition. Our proof re...

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...