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Journal article
ANALYTICAL AND NUMERICAL RESULTS ON THE POSITIVITY OF STEADY STATE SOLUTIONS OF A THIN FILM EQUATION
Discrete and continuous dynamical systems. Series B, v 18(5), pp 1305-1321
01 Jul 2013
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Abstract
We consider an equation for a thin film of fluid on a rotating cylinder and present several new analytical and numerical results on steady state solutions. First, we provide an elementary proof that both weak and classical steady states must be strictly positive so long as the speed of rotation is nonzero. Next, we formulate an iterative spectral algorithm for computing these steady states. Finally, we explore a non-existence inequality for steady state solutions from the recent work of Chugunova, Pugh & Taranets.
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- Title
- ANALYTICAL AND NUMERICAL RESULTS ON THE POSITIVITY OF STEADY STATE SOLUTIONS OF A THIN FILM EQUATION
- Creators
- Daniel Ginsberg - Univ Toronto, Dept Math, Toronto, ON M5S 1A1, CanadaGideon Simpson - Univ Minnesota, Sch Math, Minneapolis, MN 55455 USASchool of Mathematics, University of Minnesota, Minneapolis, MN, 55455
- Publication Details
- Discrete and continuous dynamical systems. Series B, v 18(5), pp 1305-1321
- Publisher
- Amer Inst Mathematical Sciences-Aims
- Number of pages
- 17
- Grant note
- 311685-10 / NSERC; Natural Sciences and Engineering Research Council of Canada (NSERC) DE-SC0002085 / DOE; United States Department of Energy (DOE) OISE-0967140 / NSF PIRE grant; National Science Foundation (NSF); NSF - Office of the Director (OD)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000316376700007
- Scopus ID
- 2-s2.0-84876934171
- Other Identifier
- 991019296581404721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied