- Tytuł:
- Global existence and blow up of solutions for a completely coupled Fujita type system of reaction-diffusion equations
- Autorzy:
- Rencławowicz, Joanna
- Powiązania:
- https://bibliotekanauki.pl/articles/1338982.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
reaction-diffusion system
global existence
blow up - Opis:
- We examine the parabolic system of three equations $u_t$ - Δu = $v^p$, $v_t$ - Δv = $w^q$, $w_t$ - Δw = $u^r$, x ∈ $ℝ^N$, t > 0 with p, q, r positive numbers, N ≥ 1, and nonnegative, bounded continuous initial values. We obtain global existence and blow up unconditionally (that is, for any initial data). We prove that if pqr ≤ 1 then any solution is global; when pqr > 1 and max(α,β,γ) ≥ N/2 (α, β, γ are defined in terms of p, q, r) then every nontrivial solution exhibits a finite blow up time.
- Źródło:
-
Applicationes Mathematicae; 1998-1999, 25, 3; 313-326
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł