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19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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65 papers · 1 filter

math.PR2017★ 8 cited

On the uniqueness of solutions to quadratic BSDEs with non-convex generators

Philippe Briand, Adrien Richou

In this paper we prove some uniqueness results for quadratic backward stochastic differential equations without any convexity assumptions on the generator. The bounded case is revi…

math.NT2017★ 2 cited

Linear Equations in Singular Moduli

Yuri Bilu, Lars Kühne

We establish an effective version of the André-Oort conjecture for linear subspaces of . Apart from the trivial examples prov…

math.AP2017★ 1 cited

Striated Regularity of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscosity

Marius Paicu, Ping Zhang

In this paper, we investigate the global existence and uniqueness of strong solutions to 2D incompressible inhomogeneous Navier-Stokes equations with viscous coefficient depending…

math.GT2017

Existence of closed geodesics through a regular point on translation surfaces

Duc-Manh Nguyen, Huiping Pan, Weixu Su

We show that on any translation surface, if a regular point is contained in a simple closed geodesic, then it is contained in infinitely many simple closed geodesics, whose directi…

math.PR2017

On the expected total reward with unbounded returns for Markov decision processes

François Dufour, Alexandre Genadot

We consider a discrete-time Markov decision process with Borel state and action spaces. The performance criterion is to maximize a total expected {utility determined by unbounded r…

math.AP2017

Wave-structure interaction for long wave models in the presence of a freely moving body on the bottom

Krisztian Benyo

In this paper we address a particular fluid-solid interaction problem in which the solid object is lying at the bottom of a layer of fluid and moves under the forces created by wav…