Abstract
We consider the periodic boundary value problem for the nonlocal erosion equation with two spatial variables and obtain sufficient conditions for the existence and stability of spatially inhomogeneous cycles. We analyze the boundary value problem in the case where the length of the domain is essentially greater than the width and obtain conditions for the existence of sufficiently many spatially inhomogeneous cycles depending on both spatial variables. For narrow domains the problem is reduced to analyzing an auxiliary boundary value problem for the Ginzburg–Landau equation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
