𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Regularity of the Interfaces with Sign Changes of Solutions of the One-Dimensional Porous Medium Equation

✍ Scribed by Shigeru Sakaguchi


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
331 KB
Volume
178
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Critical Exponents for the Blowup of Sol
✍ Noriko Mizoguchi; Eiji Yanagida πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 353 KB

The blowup of solutions of the Cauchy problem { u t =u xx + |u| p&1 u u(x, 0)=u 0 (x) in R\\_(0, ), in R is studied. Let 4 k be the set of functions on R which change sign k times. It is shown that for p k =1+2Γ‚(k+1), k=0, 1, 2, ... , any solution with u 0 # 4 k blows up in finite time if 1 p k . T

Regularity of renormalized solutions in
✍ Diogo ArsΓ©nio; Nader Masmoudi πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 300 KB πŸ‘ 2 views

## Abstract It is well‐established that renormalized solutions of the Boltzmann equation enjoy some kind of regularity, or at least compactness, in the velocity variable when the angular collision kernel is nonintegrable. However, obtaining explicit estimates in convenient and natural functional se

On some local property of the shape of i
✍ Kazuya Hayasida πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 172 KB πŸ‘ 1 views

## Abstract We consider the porous media equation with absorption for various conditions and prove that the shape of ist interface never becomes strongly upward convex. For this sake we derive an improperly posed estimate for solutions of the porous media equation for the non‐characteristic Cauchy