Far field asymptotics of solutions to convection equation with anomalous diffusion

Details Far field asymptotics of solutions to convection equation with anomalous diffusion Far field asymptotics of solutions to convection equation with anomalous diffusion

2008-01-12

arxiv.org/abs/0801.1884v1

J. Evol. Equation 8 (2008) 307--326

Mathematics

Analysis of PDEs

16 pages

Scientific paper

The initial value problem for the conservation law $\partial_t
u+(-\Delta)^{\alpha/2}u+\nabla \cdot f(u)=0$ is studied for $\alpha\in (1,2)$
and under natural polynomial growth conditions imposed on the nonlinearity. We
find the asymptotic expansion as $|x|\to \infty$ of solutions to this equation
corresponding to initial conditions, decaying sufficiently fast at infinity.

Affiliated with

Also associated with

No associations

Rating

Far field asymptotics of solutions to convection equation with anomalous diffusion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Far field asymptotics of solutions to convection equation with anomalous diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Far field asymptotics of solutions to convection equation with anomalous diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-605837