38 citations · 157 across the 26 of their papers we have counts for
4 papers · 1 filter
Condenser capacity and hyperbolic diameter
Mohamed M. S. Nasser, Oona Rainio, Matti Vuorinen
Given a compact connected set in the unit disk , we give a new upper bound for the conformal capacity of the condenser in terms of the hyp…
Isoperimetric properties of condenser capacity
Mohamed M. S. Nasser, Matti Vuorinen
For compact subsets of the unit disk we study the capacity of the condenser by means of set functionals defined in terms of hyperbolic…
The Motion of a Point Vortex in Multiply Connected Polygonal Domains
El Mostafa Kalmoun, Mohamed M S Nasser, Khalifa A. Hazaa
We study the motion of a single point vortex in simply and multiply connected polygonal domains. In case of multiply connected domains, the polygonal obstacles can be viewed as the…
Conformal Invariants in Simply Connected Domains
Mohamed M S Nasser, Matti Vuorinen
We study numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmoni…