Some Nonclassical Trends in Parabolic and Parabolic-like Evolutions

Paul Fife ()
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Paul Fife: University of Utah, Department of Mathematics

Chapter 3 in Trends in Nonlinear Analysis, 2003, pp 153-191 from Springer

Abstract: Abstract An overview will be given of some nonlinear parabolic-like evolution problems which are off the classical beaten track, but have increased in importance during the past decade. The emphasis is on problems which are nonlocal, pattern-forming (including exhibiting propagative phenomena), and/or lead in some singular limit to free boundary problems. In all cases they have been proposed as models for phenomena in the natural sciences. Also emphasized are the relationships among these various trends.

Keywords: Free Boundary Problem; Spinodal Decomposition; Gradient Flow; Singular Limit; Glauber Dynamic (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-662-05281-5_3

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