Mathematics – Analysis of PDEs
Scientific paper
2011-05-04
Mathematics
Analysis of PDEs
Scientific paper
We consider the equation u_t=\epsilon u_{xx}+(u\ K'*u)_x for x\in\mathbb{R},
t>0 and with \epsilon\geq 0, supplemented with a nonnegative, integrable
initial datum. We present a class of interaction kernels K' such that the large
time behaviour of solutions to this initial value problem is described by a
compactly supported self-similar profile.
Celiński Rafał
No associations
LandOfFree
Asymptotics behaviour in one dimensional model of interacting particles 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 Asymptotics behaviour in one dimensional model of interacting particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics behaviour in one dimensional model of interacting particles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-689690