4 papers · 1 filter
Positive solutions for non-variational fractional elliptic systems with negative exponents
Anderson L. A. de Araujo, Luiz F. O. Faria, Edir Junior F. Leite +1
In this paper, we study strongly coupled elliptic systems in non-variational form with negative exponents involving fractional Laplace operators. We investigate the existence, none…
An Analysis of a Mathematical Model Describing Acid-mediated Tumor Invasion
Anderson L. A. de Araujo, Artur C. Fassoni, Luís F. Salvino
We present a mathematical analysis of a reaction-diffusion model describing acid-mediated tumor invasion. The model describes the spatial distribution and temporal evolution of tum…
Solvability of the asymmetric Bingham fluid equations
Anderson L. A. de Araujo, Nikolai V. Chemetov, Marcelo M. Santos
In this work, we investigate the asymmetric Bingham fluid equations. The asymmetric fluid of Bingham includes symmetric and antisymmetric stresses with such stresses appearing as a…
On existence and uniqueness of solutions of thermal phase field models with a general class of nonlinearities
Anderson L. A. de Araujo, José L. Boldrini, Bianca M. R. Calsavara
We prove the existence and uniqueness of solutions for a family of nonlinear parabolic systems related to phase field models taking in account variations of temperature and the pos…