3 papers
math.AP2025
Finite propagation and saturation in reaction-diffusion-advection equations governed by p-Laplacian operator
Cristina Marcelli
The paper concerns front propagation for the following mono-stable reaction-diffusion-advection equation \[f(u)u_x + g(u)u_Ï= [d(u)|u_x|^{p-2} u_x]_x+ Ï(u), \quad (x,Ï)\in \R\ti…
math.AP2025
Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients
Umberto Guarnotta, Cristina Marcelli
Sufficient conditions for either existence or non-existence of traveling wave solutions for a general quasi-linear reaction-diffusion-convection equation, possibly highly degenerat…
math.AP2025
Solvability of a doubly singular boundary value problem arising in front propagation for reaction-diffusion equations
Cristina Marcelli
The paper deals with the solvability of the following doubly singular boundary value problem \[\begin{cases} \dot z = c g(u)-f(u) -\dfrac{h(u)}{z^α}\\ z(0^+)=0, z(1^-)=0, \ z(u)>0…