Free boundaries in problems with hysteresis
نویسندگان
چکیده
منابع مشابه
Free boundaries in problems with hysteresis.
Here, we present a survey concerning parabolic free boundary problems involving a discontinuous hysteresis operator. Such problems describe biological and chemical processes 'with memory' in which various substances interact according to hysteresis law. Our main objective is to discuss the structure of the free boundaries and the properties of the so-called 'strong solutions' belonging to the a...
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Given compactly supported 0 ≤ f, g ∈ L1(R), the problem of transporting a fraction m ≤ min{‖f‖L1 , ‖g‖L1} of the mass of f onto g as cheaply as possible is considered, where cost per unit mass transported is given by a cost function c, typically quadratic c(x,y) = |x − y|/2. This question is shown to be equivalent to a double obstacle problem for the Monge-Ampère equation, for which sufficient ...
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ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2015
ISSN: 1364-503X,1471-2962
DOI: 10.1098/rsta.2014.0271