Naslov
Nonlocal effects in homogenisation: nonlinear first-order equation

Autori
Burazin, Krešimir ; Antonić, Nenad

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Bosnian-Croatian Analysis Meeting / Miller, Harry; Guljaš, Boris - Sarajevo, 2001

Skup
Bosnian-Croatian Analysis Meeting

Mjesto i datum
Bihać, Bosna i Hercegovina, 10.05.2001. - 12.05.2001

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
homogenisation; asymptotic expansion; transport equation

Sažetak
Homogenisation of a linear transport equation leads to an integro-differential equation with differential part of the same type as the starting equation, while a convolution term appears. The homogenisation of semilinear transport equations is a completly open question. As a first step, we consider an ordinary differential equation $$ \left\{\eqalign{ u' +au^2 &=f \cr u(0) &=v ,\cr} \right. $$ in order to pinpoint technical difficulties. We shall describe a method for computing the corenspoding asymptotic expansion, which has some simylarities with Feyman diagrams in quantum field theory.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA