- Tytuł:
- Asymptotics for multifractal conservation laws
- Autorzy:
-
Biler, Piotr
Karch, Grzegorz
Woyczynski, Wojbor - Powiązania:
- https://bibliotekanauki.pl/articles/1216945.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
generalized Burgers equation
fractal diffusion
asymptotics of solutions - Opis:
- We study asymptotic behavior of solutions to multifractal Burgers-type equation $u_t + f(u)_x = Au$, where the operator A is a linear combination of fractional powers of the second derivative $-∂^2/ ∂ x^2$ and f is a polynomial nonlinearity. Such equations appear in continuum mechanics as models with fractal diffusion. The results include decay rates of the $L^p$-norms, 1 ≤ p ≤ ∞, of solutions as time tends to infinity, as well as determination of two successive terms of the asymptotic expansion of solutions.
- Źródło:
-
Studia Mathematica; 1999, 135, 3; 231-252
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł