7 papers
Non-minimizing Axially Symmetric Cavity Flow
Masoud Bayrami, Morteza Fotouhi, Parisa Vosooqnejad
Cavity flow problems in two dimensions, as well as in the axially symmetric three-dimensional case, have been extensively studied in the literature from a qualitative perspective.…
Lipschitz regularity of a weakly coupled vectorial almost-minimizers for the -Laplacian
Masoud Bayrami, Morteza Fotouhi, Henrik Shahgholian
For a given constant and a bounded Lipschitz domain (), we establish that almost-minimizers of the functional $$ J(\mathbf{v}; D) = \int_D…
A weakly coupled system of -Laplace type in a heat conduction problem
Morteza Fotouhi, Mohammad Safdari, Henrik Shahgholian
We study temperature distribution in a heat conducting problem, for a system of p-Laplace equation, giving rise to a free boundary.
Graph Based Semi-supervised Learning Using Spatial Segregation Theory
Farid Bozorgnia, Morteza Fotouhi, Avetik Arakelyan +1
In this work we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connec…
Regularity of the free boundary for a parabolic cooperative system
Gohar Aleksanyan, Morteza Fotouhi, Henrik Shahgholian +1
In this paper we study the following parabolic system \begin{equation*} Δ\u -\partial_t \u =|\u|^{q-1}\u\,χ_{\{ |\u|>0 \}}, \qquad \u = (u^1, \cdots , u^m) \ , \end{equation*} with…
General Least Gradient Problems with Obstacle
Morteza Fotouhi, Amir Moradifam
We study existence, structure, uniqueness and regularity of solutions of the obstacle problem \begin{equation*} \inf_{u\in BV_f(Ω)}\int_{\mathbb{R}^n}ϕ(x,Du), \end{equation*} where…