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math.AP2024
Propagation of Waves from Finite Sources Arranged in Line Segments within an Infinite Triangular Lattice
David Kapanadze, Zurab Vashakidze
This paper examines the propagation of time-harmonic waves in a two-dimensional triangular lattice with a lattice constant . The sources are positioned along line segments w…
math.AP2023
Exterior diffraction problems for a triangular lattice
David Kapanadze, Ekaterina Pesetskaya
Exterior Dirichlet problems for two-dimensional lattice waves on the semi-infinite triangular lattice are considered. Namely, we study Dirichlet problems for the two-dimensional di…
math.AP2014★ 1 cited
Exact solution to a nonlinear heat conduction problem in doubly periodic 2D composite materials
David Kapanadze, Gennady Mishuris, Ekaterina Pesetskaya
An analytic solution to a stationary heat conduction problem in 2D unbounded doubly periodic composite materials with temperature dependent conductivities of their components is gi…