Zobrazeno 1 - 10
of 140
pro vyhledávání: '"Malaguti, Luisa"'
Autor:
Malaguti, Luisa, Sovrano, Elisa
We investigate wavefront solutions in a nonlinear system of two coupled reaction-diffusion equations with degenerate diffusivity: \[n_t = n_{xx} - nb, \quad b_t = [D nbb_x]_x + nb,\] where $t\geq0,$ $x\in\mathbb{R}$, and $D$ is a positive diffusion c
Externí odkaz:
http://arxiv.org/abs/2407.10218
We investigate a model, inspired by (Johnston et al., Sci. Rep., 7:42134, 2017), to describe the movement of a biological population which consists of isolated and grouped organisms. We introduce biases in the movements and then obtain a scalar react
Externí odkaz:
http://arxiv.org/abs/2304.02305
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2024 539(1) Part 2
We consider a reaction-diffusion equation with a convection term in one space variable, where the diffusion changes sign from the positive to the negative and the reaction term is bistable. We study the existence of wavefront solutions, their uniquen
Externí odkaz:
http://arxiv.org/abs/2107.10530
Autor:
Malaguti, Luisa, Perrotta, Stefania
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation March 2024 130
We consider in this paper a diffusion-convection reaction equation in one space dimension. The main assumptions are about the reaction term, which is monostable, and the diffusivity, which changes sign once or twice; then, we deal with a forward-back
Externí odkaz:
http://arxiv.org/abs/2011.01034
We consider a scalar parabolic equation in one spatial dimension. The equation is constituted by a convective term, a reaction term with one or two equilibria, and a positive diffusivity which can however vanish. We prove the existence and several pr
Externí odkaz:
http://arxiv.org/abs/2007.02892
The paper deals with second order parabolic equations on bounded domains with Dirichlet conditions in arbitrary Euclidean spaces. Their interest comes from being models for describing reaction-diffusion processes in several frameworks. A linear diffu
Externí odkaz:
http://arxiv.org/abs/1809.02353
Autor:
Corli, Andrea, Malaguti, Luisa
In this paper we consider an advection-diffusion equation, in one space dimension, whose diffusivity can be negative. Such equations arise in particular in the modeling of vehicular traffic flows or crowds dynamics, where a negative diffusivity simul
Externí odkaz:
http://arxiv.org/abs/1806.00652
Publikováno v:
In Nonlinear Analysis: Real World Applications October 2022 67