4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.AP2019
On a Dirichlet to Neumann and Robin to Neumann operators suitable for reflecting harmonic functions subject to a nonhomogeneous condition on an arc
Murdhy Aldawsari, Tatiana Savina
According to the Schwarz symmetry principle, every harmonic function vanishing on a real analytic curve has an odd continuation, while a harmonic function satisfying homogeneous Ne…
math.CV2018
From reflections to elliptic growth
Tatiana Savina
We use reflections involving analytic Dirichlet and Neumann data on a real-analytic curve in order to find a representation of solutions to Cauchy problems for harmonic functions i…
math.AP2017★ 4 cited
On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources
T. V. Savina, L. Akinyemi, A. Savin
A two-phase Hele-Show problem with a time-dependent gap describes the evolution of the interface, which separates two fluids sandwiched between two plates. The fluids have differen…