Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: asymptotics of solutions

Sortuj według:

Ogranicz wyniki do:

Asymptotics for multifractal conservation laws

100%

Biler P., Karch G., Woyczynski W. A.

Studia Mathematica

1999

tom 135

nr 3

231-252

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.

Ograniczanie wyników

1 Studia Mathematica

1 Biler P.

1 Karch G.

1 Woyczynski W. A.

1 1999

Wyniki wyszukiwania

Asymptotics for multifractal conservation laws