Showing 2018 · math.APShow all

13 papers · 2 filters

math.AP2018★ 5 cited

Concentration phenomena for the fractional -curvature equation in dimension 3 and fractional Poisson formulas

Azahara DelaTorre, Maria del Mar Gonzalez, Ali Hyder +1

We study the compactness properties of metrics of prescribed fractional -curvature of order in . We will use an approach inspired from conformal geometry, seeing a met…

math.AP2018★ 28 cited

Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth

Razvan Iagar, Ariel Sánchez

We study the blow up profiles associated to the following second order reaction-diffusion equation with non-homogeneous reaction: wit…

math.AP2018★ 32 cited

On the well-posedness of stochastic Boussinesq equations with cylindrical multiplicative noise

Diego Alonso-Orán, Aythami Bethencourt de León

The Boussinesq equations are fundamental in meteorology. Among other aspects, they aim to model the process of front formation. We use the approach presented in [Hol15] to introduc…

math.AP2018

A new convergent algorithm to approximate potentials from fixed angle scattering data

Juan A. Barceló, Carlos Castro, Teresa Luque +1

We introduce a new iterative method to recover a real compact supported potential of the Schrödinger operator from their fixed angle scattering data. The method combines a fixed po…

math.AP2018★ 29 cited

Proof of Taylor's conjecture on magnetic helicity conservation

Daniel Faraco, Sauli Lindberg

We prove Taylor's conjecture which says that in 3D MHD, magnetic helicity is conserved in the ideal limit in bounded, simply connected, perfectly conducting domains. When the domai…

math.AP2018★ 10 cited

Splash singularities for a general Oldroyd model with finite Weissenberg number

Elena Di Iorio, Pierangelo Marcati, Stefano Spirito

In this paper we study a 2D Oldroyd free-boundary model which describes the evolution of a viscoelastic fluid. We prove existence of splash singularities, namely points where the b…

math.AP2018★ 25 cited

Global existence of quasi-stratified solutions for the confined IPM equation

Angel Castro, Diego Córdoba, Daniel Lear

In this paper, we consider a confined physical scenario to prove global existence of smooth solutions with bounded density and finite energy for the inviscid incompressible porous…

math.AP2018★ 6 cited

The generalized Hölder and Morrey-Campanato Dirichlet problems for elliptic systems in the upper-half space

Juan José Marín, José María Martell, Marius Mitrea

We prove well-posedness results for the Dirichlet problem in for homogeneous, second order, constant complex coefficient elliptic systems with boundary data in…

math.AP2018

Principal eigenvalue and maximum principle for cooperative periodic-parabolic systems

I Anton, J Lopez-Gomez

This paper classifies the set of supersolutions of a general class of periodic-parabolic problems in the presence of a positive supersolution. From this result we characterize the…

math.AP2018★ 26 cited

The p-Laplacian equation in thin domains: The unfolding approach

José Maria Arrieta, Jean Carlos Nakasato, Marcone Corrêa Pereira

In this work we apply the unfolding operator method to analyze the asymptotic behavior of the solutions of the -Laplacian equation with Neumann boundary condition set in a bound…

math.AP2018★ 2 cited

Global well-posedness for the 2D stable Muskat problem in

Diego Cordoba, Omar Lazar

We prove a global existence result of a unique strong solution in with small semi-norm for the 2D Muskat problem, hence allowing the…

math.AP2018★ 2 cited

Stability, well-posedness and blow-up criterion for the Incompressible Slice Model

Diego Alonso-Orán, Aythami Bethencourt de León

In atmospheric science, slice models are frequently used to study the behaviour of weather, and specifically the formation of atmospheric fronts, whose prediction is fundamental in…

math.AP2018★ 3 cited

On the Generalized Hardy-Rellich Inequalities

T. V. Anoop, Ujjal Das, Abhishek Sarkar

In this article, we look for the weight functions (say ) that admits the following generalized Hardy-Rellich type inequality: $ \int_Ω g(x) u^2 dx \leq C \int_Ω |Δu|^2 dx, \fora…