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19912026
Showing 2024 · math.APShow all

8 papers · 2 filters

math.AP2024

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 …

math.AP2024

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…

math.AP2024

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…

math.AP2024★ 5 cited

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…

math.AP2024★ 3 cited

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…

math.AP2024★ 9 cited

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…

math.AP2024★ 1 cited

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…

math.AP2024

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…