Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1194.35059
Guo, Jong-Shenq; Ling, Chia-Tung; Souplet, Philippe
Non-self-similar dead-core rate for the fast diffusion equation with strong absorption. (English)
[J] Nonlinearity 23, No. 3, 657-673 (2010). ISSN 0951-7715; ISSN 1361-6544/e

Authors' abstract: We study the dead-core problem for the fast diffusion equation with strong absorption. Unlike in many other related problems of singularity formation, we show that the temporal rate of formation of the dead-core is not self-similar. We moreover obtain precise estimates on rescaled solutions and on the single-point final dead-core profile. Results of this type were up to now known only for problems with linear diffusion. The proofs rely on self-similar variables and require a delicate use of the Zelenyak method.
[Chiu Yeung Chan (Lafayette)]

MSC 2000:: *35B40 Asymptotic behavior of solutions of PDE
35A20 Analytic methods (PDE)
35K59
35K57 Reaction-diffusion equations
35K15 Second order parabolic equations, initial value problems

Keywords: asymptotic behavior of solutions; reaction-diffusion equations; nonlinear PDE of parabolic type; analytic methods; singularities; initial value problems for second-order; parabolic equations; temporal rate of formation; dead-core profile; self-similar variables; Zelenyak method

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]