Abstract
Large time behaviour of Hele–Shaw flow with surface tension and with injection or suction in one point is discussed. We consider domains that are initially small perturbations of balls. Radially, symmetric solutions are stationary after a suitable time-dependent rescaling. The evolution of perturbations can be described by a non-local non-linear parabolic evolution equation. Global existence results and decay properties are derived using energy estimates in Sobolev spaces.
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.
