7 citations · 19 across the 9 of their papers we have counts for
11 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.
Global minimizers of the two-phase Bernoulli problem with the -Laplace operator
Masoud Bayrami-Aminlouee, Morteza Fotouhi
In this paper, we study the classification of Lipschitz global solutions for a two-phase -Laplace Bernoulli problem. Specifically, we focus on the scenario where the \textit{int…
A Minimization Problem with Free Boundary for -Laplacian weakly coupled System
Morteza Fotouhi, Henrik Shahgholian
In this paper we consider a weakly coupled -Laplacian system of a Bernoulli type free boundary problem, through minimization of a corresponding functional. We prove various prop…
Regularity in the two-phase Bernoulli problem for the -Laplace operator
Masoud Bayrami-Aminlouee, Morteza Fotouhi
We show that any minimizer of the well-known ACF functional (for the -Laplacian) is a viscosity solution. This allows us to establish a uniform flatness decay at the two-phase f…
Higher Regularity of the Free Boundary in a Semilinear System
Morteza Fotouhi, Herbert Koch
In this paper we are concerned with higher regularity properties of the elliptic system \[ Δ\mathbf{u}= |\mathbf{u}|^{q-1}\mathbf{u}χ_{\{|\mathbf{u}|>0\}},\qquad\mathbf{u}=(u^1,\do…
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…
On the Poincare Index of Isolated Invariant Sets
M. R. Razvan, M. Fotouhi Firoozabad
In this paper, we use Conley index theory to examine the Poincare index of an isolated invariant set. We obtain some limiting conditions on a critical point of a planar vector fiel…