4 papers
Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions
Alexander Gladkov, Mohammed Guedda
We consider semilinear parabolic equations with nonlinear boundary conditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of…
Dynamical properties of a nonlinear growth equation
Mohammed Benlahsen, Gabriella Bognár, Mohammed Guedda +2
The conserved Kuramoto-Sivashinsky equation is considered as the evolution equation of amorphous thin film growth in one- and in two-dimensions. The role of the nonlinear term $Δ(\…
Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise term
Imre Ferenc Barna, Gabriella Bognár, Mohammed Guedda +2
The one-dimensional Kardar-Parisi-Zhang dynamic interface growth equation with the self-similar Ansatz is analyzed. As a new feature additional analytic terms are added. From the m…
Global existence of solutions of semilinear heat equation with nonlinear memory condition
Alexander Gladkov, Mohammed Guedda
We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of s…