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19922026
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2015 · math.APShow all

12 papers · 2 filters

math.AP2015★ 2 cited

Eulerian, Lagrangian and Broad continuous solutions to a balance law with non convex flux I

G. Alberti, S. Bianchini, L. Caravenna

We discuss different notions of continuous solutions to the balance law \[u_t + (f(u ))_x =g \] with bounded, , extending previous works relative to the flux $f(u)=…

math.AP2015★ 20 cited

On well-posedness of variational models of charged drops

Cyrill B. Muratov, Matteo Novaga

Electrified liquids are well known to be prone to a variety of interfacial instabilities that result in the onset of apparent interfacial singularities and liquid fragmentation. In…

math.AP2015★ 57 cited

Least action nodal solutions for the quadratic Choquard equation

Marco Ghimenti, Vitaly Moroz, Jean Van Schaftingen

We prove the existence of a minimal action nodal solution for the quadratic Choquard equation where is…

math.AP2015

Well-posedness and scattering for the mass-energy NLS on

Mirko Tarulli

We study the nonlinear Schrödinger equation posed on product spaces , for and , with any -dimensional compact Ri…

math.AP2015

The two obstacle problem for the parabolic biharmonic equation

Matteo Novaga, Shinya Okabe

We consider a two obstacle problem for the parabolic biharmonic equation in a bounded domain. We prove long time existence of solutions via an implicit time discretization scheme,…

math.AP2015★ 1 cited

Weakly Hyperbolic Systems by Symmetrization

F. Colombini, T. Nishitani, J. Rauch

We study hyperbolic first order systems and propose a new method proving Gevrey well posedness, constructing a symmetrizer, motivated by a special Lyapunov function for linear ODE.…

math.AP2015★ 16 cited

Optimal Transportation Theory with Repulsive Costs

Simone Di Marino, Augusto Gerolin, Luca Nenna

This paper intents to present the state of art and recent developments of the optimal transportation theory with many marginals for a class of repulsive cost functions. We introduc…

math.AP2015★ 16 cited

Parabolic equations in time dependent domains

Juan Calvo, Matteo Novaga, Giandomenico Orlandi

We show existence and uniqueness results for nonlinear parabolic equations in noncylindrical domains with possible jumps in the time variable

math.AP2015★ 10 cited

On the construction of suitable weak solutions to the 3D Navier-Stokes equations in a bounded domain by an artificial compressibility method

Luigi C. Berselli, Stefano Spirito

In this paper we will prove that suitable weak solutions of three dimensional Navier-Stokes equations in bounded domain can be constructed by a particular type of artificial compre…

math.AP2015★ 216 cited

Nodal solutions for the Choquard equation

Marco Ghimenti, Jean Van Schaftingen

We consider the general Choquard equations where is a Riesz potential. We construct minimal action odd solutions for $p \in (\fr…

math.AP2015

A multiplicity result for double singularly perturbed elliptic systems

M. Ghimenti, A. M. Micheletti

We show that the number of low energy solutions of a double singularly perturbed Schroedinger Maxwell system type on a smooth 3 dimensional manifold (M,g) depends on the topologica…

math.AP2015★ 14 cited

Cheeger -clusters

Marco Caroccia

In this paper we introduce a Cheeger-type constant defined as a minimization of a suitable functional among all the -clusters contained in an open bounded set . Here with …