most citedAnalytic traveling-wave solutions of the Kardar-Parisi-Zhang interface growing equation with different kind of noise terms

5 citations · 5 across the 5 of their papers we have counts for

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5 papers

math.AP2020

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…

nlin.AO2019

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(\…

nlin.PS2019★ 5 cited

Analytic traveling-wave solutions of the Kardar-Parisi-Zhang interface growing equation with different kind of noise terms

Imre Ferenc Barna, Gabriella Bognár, Mohammed Guedda +2

The one-dimensional Kardar-Parisi-Zhang dynamic interface growth equation with the traveling-wave Ansatz is analyzed. As a new feature additional analytic terms are added. From the…

nlin.PS2019

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…

math.AP2019

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…