- Tytuł:
- $L^p$-decay of solutions to dissipative-dispersive perturbations of conservation laws
- Autorzy:
- Karch, Grzegorz
- Powiązania:
- https://bibliotekanauki.pl/articles/1294727.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
asymptotic behavior of solutions
dispersive equations
parabolic conservation laws
oscillatory integrals - Opis:
- We study the decay in time of the spatial $L^p$-norm (1 ≤ p ≤ ∞) of solutions to parabolic conservation laws with dispersive and dissipative terms added uₜ - uₓₓₜ - νuₓₓ + buₓ = f(u)ₓ or uₜ + uₓₓₓ - νuₓₓ + buₓ = f(u)ₓ, and we show that under general assumptions about the nonlinearity, solutions of the nonlinear equations have the same long time behavior as their linearizations at the zero solution.
- Źródło:
-
Annales Polonici Mathematici; 1997, 67, 1; 65-86
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł