Doubly Periodic Vortices for a Chern-Simons Model
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.051
Abstract: Abstract In this paper we establish the existence of vortex solutions for a relativistic self-dual U ( 1 ) × U ( 1 ) Chern–Simons system over a doubly periodic domain. We use a constrained… read more here.
Keywords: chern simons; simons model; periodic vortices; doubly periodic ... See more keywords
Three-dimensional one-mode penetration of elastic waves through a doubly periodic array of cracks
Sign Up to like & getrecommendations! Published in 2018 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/1081286516684902
Abstract: The paper is devoted to the calculation of the reflection and transmission coefficients, when a plane wave is incident on a two-dimensional grating with an infinite doubly periodic array of rectangular cracks in the elastic… read more here.
Keywords: three dimensional; doubly periodic; one mode; periodic array ... See more keywords
Riemann boundary-value problem for doubly-periodic bianalytic functions
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-1005-z
Abstract: In this paper, we study Riemann boundary-value problem for doubly-periodic bianalytic functions. By the decomposition of doubly-periodic polyanalytic functions, the problem is transformed into two equivalent and independent Riemann boundary-value problems of doubly-periodic analytic functions,… read more here.
Keywords: riemann boundary; doubly periodic; boundary value; periodic bianalytic ... See more keywords