2020-01-20T21:15:39Zhttps://repository.dl.itc.u-tokyo.ac.jp/?action=repository_oaipmhoai:repository.dl.itc.u-tokyo.ac.jp:000403672019-12-24T07:27:15Z00312:06865:07071:0707500009:00504:06868:07073:07076
Bifurcation from flat-layered solutions to reaction diffusion systems in two space dimensionsenghttp://hdl.handle.net/2261/1582Departmental Bulletin PaperTaniguchi, MasaharuBifurcation from equilibrium solutions to reaction diffusion systems is considered in a two-dimensional domain. This solution has an internal transition layer that forms a flat interface. If the length of the interface in the tangential direction is small enough, the equilibrium solution is stable, but it is unstable if the length is larger than some critical value. In this paper, it is shown that bifurcation occurs at this critical length. We construct the bifurcating solutions and discuss their stability. Numerical results suggest that the bifurcation is subcritical.Journal of mathematical sciences, the University of Tokyo12339367199413405705AA11021653application/pdf415https://repository.dl.itc.u-tokyo.ac.jp/?action=repository_action_common_download&item_id=40367&item_no=1&attribute_id=19&file_no=1Graduate School of Mathematical Sciences, The University of Tokyo2017-06-14