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20022015
most citedExistence and uniqueness results for the Boussinesq system with data in Lorentz spaces

117 citations

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Showing 2012Show all

31 papers · 1 filter

math.AP2012★ 2 cited

Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3

Cecilia Ortoleva, Galina Perelman

We consider the energy critical focusing NLS in R^3 and prove, for any sufficiently small, the existence of radial finite energy solutions that as behave as a sum…

math.AP2012

Blow up dynamics for equivariant critical Schrödinger maps

Galina Perelman

For the Schrödinger map problem from 2+1 dimensions into the 2-sphere we prove the existence of equivariant finite time blow up solutions that are close to a dynamically rescaled l…

physics.flu-dyn2012★ 7 cited

Vortexons in axisymmetric Poiseuille pipe flows

Francesco Fedele, Denys Dutykh

We present a study on the nonlinear dynamics of small long-wave disturbances to the laminar state in non-rotating axisymmetric Poiseuille pipe flows. At high Reynolds numbers, the…

math-ph2012

Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials

David Godinho

We give an explicit bound for the Wasserstein distance with quadratic cost between the solutions of Boltzmann's and Landau's equations in the case of soft and Coulomb potentials. T…

math.PR2012★ 5 cited

A note on the rightmost particle in a Fleming-Viot process

Amine Asselah, Marie-Noémie Thai

We consider N nearest neighbor random walks on the positive integers with a drift towards the origin. When one walk reaches the origin, it jumps to the position of one of the other…

math.GN2012

Saturating directed spaces

André Hirschowitz, Michel Hirschowitz, Tom Hirschowitz

Directed topology is a refinement of standard topology, where spaces may have non-reversible paths. It has been put forward as a candidate approach to the analysis of concurrent pr…