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Paulo Amorim
Paulo Amorim
IM - UFRJ
Verified email at im.ufrj.br - Homepage
Title
Cited by
Cited by
Year
On the numerical integration of scalar nonlocal conservation laws
P Amorim, RM Colombo, A Teixeira
ESAIM: Mathematical Modelling and Numerical Analysis 49 (1), 19-37, 2015
932015
Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method
P Amorim, M Ben-Artzi, PG LeFloch
532005
Finite volume schemes on Lorentzian manifolds
P Amorim, PG LeFloch, B Okutmustur
512008
Modeling ant foraging: A chemotaxis approach with pheromones and trail formation
P Amorim
Journal of theoretical biology 385, 160-173, 2015
282015
A reaction–diffusion predator–prey model with pursuit, evasion, and nonlocal sensing
P Amorim, B Telch, LM Villada
Mathematical Biosciences and Engineering 16 (5), 5114-5145, 2019
222019
Young measure solutions for the wave equation with p (x, t)-Laplacian: Existence and blow-up
P Amorim, S Antontsev
Nonlinear Analysis: Theory, Methods & Applications 92, 153-167, 2013
192013
On a nonlocal hyperbolic conservation law arising from a gradient constraint problem
P Amorim
Bulletin of the Brazilian Mathematical Society, New Series 43, 599-614, 2012
152012
An ant navigation model based on Weber’s law
P Amorim, T Goudon, F Peruani
Journal of Mathematical Biology 78, 943-984, 2019
132019
Convergence of a numerical scheme for a coupled Schrödinger–KdV system
P Amorim, M Figueira
Revista matemática complutense 26, 409-426, 2013
122013
A chemotaxis predator-prey model with indirect pursuit-evasion dynamics and parabolic signal
P Amorim, B Telch
Journal of Mathematical Analysis and Applications 500 (1), 125128, 2021
112021
Analysis of a chemotaxis system modeling ant foraging
R Alonso, P Amorim, T Goudon
Mathematical Models and Methods in Applied Sciences 26 (09), 1785-1824, 2016
112016
Convergence of a finite difference method for the KdV and modified KdV equations with data
P Amorim, M Figueira
Portugaliae Mathematica 70 (1), 23-50, 2013
102013
A geometric approach to error estimates for conservation laws posed on a spacetime
P Amorim, PG LeFloch, W Neves
Nonlinear Analysis: Theory, Methods & Applications 74 (15), 4898-4917, 2011
72011
Computing Gowdy spacetimes via spectral evolution in future and past directions
P Amorim, C Bernardi, PG LeFloch
Classical and Quantum Gravity 26 (2), 025007, 2009
72009
The obstacle-mass constraint problem for hyperbolic conservation laws. Solvability
P Amorim, W Neves, JF Rodrigues
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34 (1), 221-248, 2017
52017
A continuous model of ant foraging with pheromones and trail formation
P Amorim
arXiv preprint arXiv:1402.5611, 2014
52014
The linear stability of shock waves for the nonlinear Schrödinger–inviscid Burgers system
P Amorim, JP Dias, M Figueira, PG LeFloch
Journal of Dynamics and Differential Equations 25, 49-69, 2013
52013
Convergence of numerical schemes for interaction equations of short and long waves
P Amorim, M Figueira
Arxiv preprint arXiv:0912.2027, 2009
5*2009
Convergence of semi-discrete approximations of Benney equations
P Amorim, M Figueira
Comptes Rendus Mathematique 347 (19-20), 1135-1140, 2009
52009
A non-local scalar conservation law describing navigation processes
P Amorim, F Berthelin, T Goudon
Journal of Hyperbolic Differential Equations 17 (04), 809-841, 2020
42020
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