7 citations · 19 across the 9 of their papers we have counts for
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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…
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…