𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Self-similar solutions to a density-dependent reaction-diffusion model

✍ Scribed by Ngamsaad, Waipot; Khompurngson, Kannika

Book ID
115531891
Publisher
The American Physical Society
Year
2012
Tongue
English
Weight
225 KB
Volume
85
Category
Article
ISSN
1063-651X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Global existence to a reaction–diffusion
Global existence to a reaction–diffusion equation through a self-similar-like upper solution
✍ Guy Bernard 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 167 KB

## Abstract A demonstration method is presented, which will ensure the existence of positive global solutions in time to the reaction–diffusion equation −__u__~__t__~+Δ__u__+__u__^__p__^=0 in ℝ^__n__^×[0, ∞), for exponents __p__⩾3 and space dimensions __n__⩾3. This method does not require the initi

Similarity solutions for a binary diffus
Similarity solutions for a binary diffusion couple with diffusivity and density dependent on composition
✍ Robert F. Sekerka 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 327 KB

We reexamine similarity solutions for composition in a very long binary diffusion couple for the case in which the diffusivity and the density are functions of composition. For such solutions, the composition depends for sufficiently short times only on a similarity variable x= ffiffi t p where x is

Self-Similar Solutions to a Parabolic Sy
Self-Similar Solutions to a Parabolic System Modeling Chemotaxis
✍ Yūki Naito; Takashi Suzuki; Kiyoshi Yoshida 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 291 KB

We study the forward self-similar solutions to a parabolic system modeling chemotaxis in the whole space R 2 ; where t is a positive constant. Using the Liouville-type result and the method of moving planes, it is proved that self-similar solutions ðu; vÞ must be radially symmetric about the origin