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math.AP2023
Homoclinic and heteroclinic solutions for non-autonomous Minkowski-curvature equations
Guglielmo Feltrin, Maurizio Garrione
We deal with the non-autonomous parameter-dependent second-order differential equation \begin{equation*} δ\left( \dfrac{v'}{\sqrt{1-(v')^{2}}} \right)' + q(t) f(v)= 0, \quad t\in\m…
math.AP2023
The role of convection in the limit shape of the critical front profile for Born-Infeld diffusion models
Maurizio Garrione, Mohamed Jleli, Bessem Samet
In this paper, we deal with models with Born-Infeld type diffusion and monostable reaction, investigating the effect of the introduction of a convection term on the limit shape of…
math.AP2023★ 1 cited
Asymptotic study of critical wave fronts for parameter-dependent Born-Infeld models: physically predicted behaviors and new phenomena
Maurizio Garrione
In this paper, we study some parameter-dependent reaction-diffusion models governed by the Born-Infeld (or Minkowski) operator. In dependence on two parameters , related…