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Asymptotic profile of solutions of a singular diffusion equation as t→∞

✍ Scribed by Shu-Yu Hsu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
97 KB
Volume
48
Category
Article
ISSN
0362-546X

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✦ Synopsis

u(x; 0) = u 0 (x) ∀x ∈ R 2 (0.1) which arises naturally in many situations. Lions and Toscani [19] have shown that (0.1) arises as the singular limit for ÿnite velocity Boltzmann kinetic models and Kurtz [17] have shown that it arises as the limiting density distribution of two gases moving against each other and obeying the Boltzmann equation. Recently, Hui [16] has shown that (0.1) also arises as the singular limit of the porous medium equation

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