18 citations · 30 across the 10 of their papers we have counts for
14 papers
How to perform modeling with independent and preferential data jointly?
Mario Figueira, David Conesa, Antonio López-Quílez +1
Continuous space species distribution models (SDMs) have a long-standing history as a valuable tool in ecological statistical analysis. Geostatistical and preferential models are b…
A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity
Simão Correia, Mário Figueira
In this short note, we consider the elliptic problem on a smooth domain , $N\ge 1…
A generalized Complex Ginzburg-Landau Equation: global existence and stability results
Simão Correia, Mário Figueira
We consider the complex Ginzburg-Landau equation with two pure-power nonlinearities and a damping term. After proving a general global existence result, we focus on the existence a…
Some stability results for the complex Ginzburg-Landau equation
Simão Correia, Mário Figueira
Using some classical methods of dynamical systems, stability results and asymptotic decay of strong solutions for the complex Ginzburg-Landau equation (CGL), $$ \partial_t u = (a +…
Existence and stability of spatial plane waves for the incompressible Navier-Stokes in
Simão Correia, Mário Figueira
We consider the three-dimensional incompressible Navier-Stokes equation on the whole space. We observe that this system admits a family of global spatial plane wave solu…
Spatial plane waves for the nonlinear Schrödinger equation: local existence and stability results
Simão Correia, Mário Figueira
We consider the Cauchy problem for the nonlinear Schrödinger equation on , , , . We introduce new functiona…
Some solutions of the hyperbolic nonlinear Schrödinger equation and their stability
Simão Correia, Mário Figueira
Consider the hyperbolic nonlinear Schrödinger equation (HNLS) over We deduce the conservation laws associated wit…
Supercritical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations
João-Paulo Dias, Mário Figueira, Vladimir V. Konotop +1
We prove finite time supercritical blowup in a parity-time-symmetric system of the two coupled nonlinear Schrödinger (NLS) equations. One of the equations contains gain and the oth…
Existence and linearized stability of solitary waves for a quasilinear Benney system
João-Paulo Dias, Mário Figueira, Filipe Oliveira
We prove the existence of solitary wave solutions to the quasilinear Benney system where , and $a…
Finite-time blowup for a complex Ginzburg-Landau equation with linear driving
Thierry Cazenave, João Paulo Dias, Mário Figueira
In this paper, we consider the complex Ginzburg--Landau equation on , where , and . By convexity argume…
Convergence of a numerical scheme for a coupled Schrödinger--KdV system
Paulo Amorim, Mário Figueira
We prove the convergence in a strong norm of a finite difference semi-discrete scheme approximating a coupled Schrödinger--KdV system on a bounded domain. This system models the in…
Convergence of a finite difference method for the KdV and modified KdV equations with data
Paulo Amorim, Mário Figueira
We prove strong convergence of a semi-discrete finite difference method for the KdV and modified KdV equations. We extend existing results to non-smooth data (namely, in ), wi…
The linear stability of shock waves for the nonlinear Schrödinger-Inviscid Burgers system
Paulo Amorim, Joao-Paulo Dias, Mario Figueira +1
We investigate the coupling between the nonlinear Schrödinger equation and the inviscid Burgers equation, a system which models interactions between short and long waves, for insta…
Convergence of numerical schemes for short wave long wave interaction equations
Paulo Amorim, Mário Figueira
We consider the numerical approximation of a system of partial differential equations involving a nonlinear Schrödinger equation coupled with a hyperbolic conservation law. This sy…