3 papers
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-ph2022
Half-plane diffraction problems on a triangular lattice
David Kapanadze, Ekaterina Pesetskaya
We investigate thin-slit diffraction problems for two-dimensional lattice waves. The peculiar structure allows us to consider the problems on the semi-infinite triangular lattice,…