3 papers
math.AP2024
Wavefronts for a degenerate reaction-diffusion system with application to bacterial growth models
Luisa Malaguti, Elisa Sovrano
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,…
math.AP2024
Continuous dependence for p-Laplace equations with varying operators
Francesca Colasuonno, Benedetta Noris, Elisa Sovrano
For the following Neumann problem in a ball $$\begin{cases} -Î_p u+u^{p-1}=u^{q-1}\quad&\text{in }B,\\ u>0,\,u\text{ radial}\quad&\text{in }B,\\ \frac{\partial u}{\partial ν}=0\q…
math.AP2024
Coupled reaction-diffusion equations with degenerate diffusivity: wavefront analysis
Eduardo Muñoz-Hernández, Elisa Sovrano, Valentina Taddei
We investigate traveling wave solutions for a nonlinear system of two coupled reaction-diffusion equations characterized by double degenerate diffusivity: \[n_t= -f(n,b), \quad b_t…