13 citations · 14 across the 3 of their papers we have counts for
4 papers · 1 filter
Nonlinear Convection in Reaction-diffusion Equations under dynamical boundary conditions
Gaëlle Pincet Mailly, Jean-François Rault
We investigate blow-up phenomena for positive solutions of nonlinear reaction-diffusion equations including a nonlinear convection term $\partial_t u = Δu - g(u) \cdot \nabla u + f…
The Fujita phenomenon in exterior domains under the dynamical boundary conditions
Jean-François Rault
The Fujita phenomenon for nonlinear parabolic problems in an exterior domain of RN under the dynamical boundary conditions is investigated in the superlinea…
The Fujita phenomenon in exterior domains under the Robin boundary conditions
Jean-François Rault
The Fujita phenomenon for nonlinear parabolic problems dtu = \deltau + up in an exterior domain of RN under the Robin boundary conditions is investigated in the superlinear case. A…
A bifurcation for a generalized Burger's equation in dimension one
Jean-François Rault
We consider a generalized Burger's equation (dtu = dxxu - udxu + up - λu)in a subdomain of R, under various boundary conditions. First, using some phase plane arguments, we study t…