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Applied Math Seminar: Nonlinear stability analyses of vegetative pattern formation in an arid environment
2009-09-02
3:15 pm Neill 3W
David J. Wollkind
Abstract: The development of spontaneous stationary equilibrium vegetative patterns in an arid isotropic homogeneous environment is investigated by means of various weakly nonlinear stability analyses applied to the appropriate governing equation for this phenomenon. In particular, that process can be represented by a fourth-order partial differential time-evolution logistic equation for the total plant biomass per unit area divided by the carrying capacity of its territory and defined on an unbounded flat spatial domain. Those patterns which consist of parallel stripes, labyrinth-like mazes, rhombic arrays of rectangular patches, and hexagonal distributions of spots or gaps are generated by the balance between the effects of short-range facilitation and long-range competition. Then these theoretical predictions are compared with both relevant observational evidence and existing numerical simulations as well as placed in the context of the results from some recent nonlinear pattern formation studies.
Weekly Scheduled Seminars
For more information please contact the individuals listed below.Monday
1:10pmAlgebra Seminar - Google Group
Neill Hall 106W
Contact: Judi McDonald
Tuesday
4:30-5:30pmMathematics Education Seminar
One World Cafe - Moscow, ID
Contact: Libby Knott
Wednesday
3:00-4:00pmApplied Math Seminar
Neill Hall 3W
Contact: Alan Genz
4:00-5:00pm
Reliability and Risk Seminar
Neill Hall 106W
Contact: Haijun Li
Thursday
Friday
4:15-5:15pmSpatial Reasoning: An Interdisciplinary Seminar
Cleveland Annex 309
Contact Co-organizers: Kim Vincent and Kathleen Ryan, Interior Design.
Various disciplines dealing with spatial relationships and reasoning will be examined. We will discuss what spatial reasoning is and how to improve students' spatial reasoning. The book, Learning to Think Spatially: GIS as a Support System in the K-12 Curriculum will be used. A read-only version may be found at www.nap.edu/catalog.php?record_id=11019