- Tytuł:
- Nonlocal quadratic evolution problems
- Autorzy:
-
Biler, Piotr
Woyczyński, Wojbor - Powiązania:
- https://bibliotekanauki.pl/articles/1207633.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
self-similar solutions
fractal anomalous diffusion
asymptotic behavior of solutions
nonlinear nonlocal parabolic equations - Opis:
- Nonlinear nonlocal parabolic equations modeling the evolution of density of mutually interacting particles are considered. The inertial type nonlinearity is quadratic and nonlocal while the diffusive term, also nonlocal, is anomalous and fractal, i.e., represented by a fractional power of the Laplacian. Conditions for global in time existence versus finite time blow-up are studied. Self-similar solutions are constructed for certain homogeneous initial data. Monte Carlo approximation schemes by interacting particle systems are also mentioned.
- Źródło:
-
Banach Center Publications; 2000, 52, 1; 11-24
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł