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19962022
most citedThe VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation

107 citations

Showing 2011 · math.APShow all

5 papers · 2 filters

math.AP2011★ 20 cited

Well-posedness results for the 3D Zakharov-Kuznetsov equation

Francis Ribaud, Stéphane Vento

We prove the local well-posedness of the three-dimensional Zakharov-Kuznetsov equation in the Sobolev spaces , , as well…

math.AP2011★ 3 cited

On the stability in weak topology of the set of global solutions to the Navier-Stokes equations

Hajer Bahouri, Isabelle Gallagher

Let be a suitable function space and let $\cG \subset X$ be the set of divergence free vector fields generating a global, smooth solution to the incompressible, homogeneous thr…

math.AP2011★ 1 cited

Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

We recall the PFS model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated…

math.AP2011★ 27 cited

A mathematical model for unsteady mixed flows in closed water pipes

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

We present the formal derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipe. In the case of free surface incompressible flows, the \FS-…

math.AP2011

The Ginzburg-Landau functional with a discontinuous and rapidly oscillating pinning term. Part II: the non-zero degree case

Mickaël Dos Santos

We consider minimizers of a Ginzburg-Landau energy with a discontinuous and rapidly oscillating pinning term, subject to a Dirichlet boundary condition of degree . The pinni…