2.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Autónoma de MadridES618 papers
- Universidad Carlos III de MadridES550 papers
- Consejo Superior de Investigaciones CientíficasES480 papers
- Homi Bhabha National InstituteIN425 papers
- Universidad Complutense de MadridES350 papers
- Tata Institute of Fundamental ResearchIN132 papers
- Centre National de la Recherche ScientifiqueFR131 papers
- Indian Institute of Science BangaloreIN120 papers
- Indian Institute of Technology MadrasIN92 papers
- Chennai Mathematical InstituteIN82 papers
- Beijing Institute of Mathematical Sciences and Applications64 papers
- Harish-Chandra Research InstituteIN58 papers
127 papers · 1 filter
Boundary Value Problems in graph Lipschitz domains in the plane with -measures on the boundary
Fernando Ballesta-Yagüe, María J. Carro
We prove several results for the Dirichlet, Neumann and Regularity problems for the Laplace equation in graph Lipschitz domains in the plane, considering -measures on t…
Finite-time singularity via multi-layer degenerate pendula for the 2D Boussinesq equation with uniform force
Diego Córdoba, Andrés Laín-Sanclemente, Luis Martínez-Zoroa
We establish the existence of compactly supported solutions of the inviscid incompressible 2D Boussinesq equation with force that…
Invertibility of Sobolev maps through approximate invertibility at the boundary and tangential polyconvexity
Carlos Mora-Corral, David Mur-Callizo
We work in a class of Sobolev maps, with , from a bounded open set to that do not exhibit cavitation and whose trace o…
Recovering nonsmooth coefficients for higher-order perturbations of a polyharmonic operator
Russell M. Brown, Landon Gauthier, Daniel Faraco
We consider an inverse problem for a higher order elliptic operator where the principal part is the polyharmonic operator with . We show that the map from the c…
Drift-diffusion equations with saturation
José Antonio Carrillo, Alejandro Fernández-Jiménez, David Gómez-Castro
We focus on a family of nonlinear continuity equations for the evolution of a non-negative density with a continuous and compactly supported nonlinear mobility …
Global existence and asymptotic behavior for diffusive Hamilton-Jacobi equations with Neumann boundary conditions
Joaquin Dominguez-de-Tena, Philippe Souplet
We investigate the diffusive Hamilton-Jacobi equation $$u_t-\Lap u = |\nabla u|^p$$ with , in a smooth bounded domain of $\RN$ with homogeneous Neumann boundary conditions and…
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory
Marco Antonio Fontelos, Francesco Salvarani, Nastassia Pouradier Duteil
In this article, we study the long-time asymptotic properties of a non-linear and non-local equation of diffusive type which describes the rock-paper-scissors game in an interconne…
A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation
Ángel Castro, Daniel Faraco, Francisco Mengual +1
We give a simpler proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation in the vorticity class with . The main simplification is an alt…
A Fischer type decomposition theorem from the apolar inner product
J. M. Aldaz, H. Render
We continue the study initiated by H. S. Shapiro on Fischer decompositions of entire functions, showing that such decomposition exist in a weak sense (we do not prove uniqueness) u…
Variational models with Eulerian-Lagrangian formulation allowing for material failure
Marco Bresciani, Manuel Friedrich, Carlos Mora-Corral
We investigate the existence of minimizers of variational models with Eulerian-Lagrangian formulations. We consider energy functionals depending on the deformation of a body, defin…
Reconstruction for the Calderón problem with Lipschitz conductivities
Pedro Caro, María Ángeles García-Ferrero, Keith M. Rogers
We determine the conductivity of the interior of a body using electrical measurements on its surface. We assume only that the conductivity is bounded below by a positive constant a…
Lower semicontinuity, Stoilow factorization and principal maps
Kari Astala, Daniel Faraco, André Guerra +2
We consider a strengthening of the usual quasiconvexity condition of Morrey in two dimensions, which allows us to prove lower semicontinuity for functionals which are unbounded as…
A relaxation approach to the minimisation of the neo-Hookean energy in 3D
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
Despite its high significance in nonlinear elasticity, the neo-Hookean energy is still not known to admit minimisers in some appropriate admissible class. Using ideas from relaxati…
The trace fractional Laplacian and the mid-range fractional Laplacian
Julio D. Rossi, Jorge Ruiz-Cases
In this paper we introduce two new fractional versions of the Laplacian. The first one is based on the classical formula that writes the usual Laplacian as the sum of the eigenvalu…
Entropy solutions to macroscopic IPM
Ángel Castro, Daniel Faraco, Björn Gebhard
We investigate maximal potential energy dissipation as a selection criterion for subsolutions (coarse grained solutions) in the setting of the unstable Muskat problem. We show that…
Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide
Delfina Gómez, Sergei A. Nazarov, Rafael Orive-Illera +1
In this paper, we provide uniform bounds for convergence rates of the low frequencies of a parametric family of problems for the Laplace operator posed on a rectangular perforated…
Concentration limit for non-local dissipative convection-diffusion kernels on the hyperbolic space
María del Mar González, Liviu I. Ignat, Dragoş Manea +1
We study a non-local evolution equation on the hyperbolic space . We first consider a model for particle transport governed by a non-local interaction kernel defined…
A Liouville-type theorem for the 3D primitive equations
D. Peralta-Salas, R. Slobodeanu
The 3D primitive equations are used in most geophysical fluid models to approximate the large scale oceanic and atmospheric dynamics. We prove that there do not exist smooth statio…
On a degenerate elliptic problem arising in the least action principle for Rayleigh-Taylor subsolutions
Björn Gebhard, Jonas Hirsch, József J. Kolumbán
We address a degenerate elliptic variational problem arising in the application of the least action principle to averaged solutions of the inhomogeneous Euler equations in Boussine…
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
Jørgen Endal, Liviu I. Ignat, Fernando Quirós
We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infini…
The Cauchy-Dirichlet Problem for Singular Nonlocal Diffusions on Bounded Domains
Matteo Bonforte, Peio Ibarrondo, Mikel Ispizua
We study the homogeneous Cauchy-Dirichlet Problem (CDP) for a nonlinear and nonlocal diffusion equation of singular type of the form posed on a bou…
Isoperimetric problem for the first curl eigenvalue
Wadim Gerner
We consider an isoperimetric problem involving the smallest positive and largest negative curl eigenvalues on abstract ambient manifolds, with a focus on the standard model spaces.…
Optimal convex domains for the first curl eigenvalue
Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas
We prove that there exists a bounded convex domain of fixed volume that minimizes the first positive curl eigenvalue among all other bounded convex domains…
Spectral gaps in a double-periodic perforated Neumann waveguide
Delfina Gómez, Sergei A. Nazarov, Rafael Orive-Illera +1
We examine the band-gap structure of the spectrum of the Neumann problem for the Laplace operator in a strip with periodic dense transversal perforation by identical holes of a sma…