Naslov
Shock Wave Formation Process for a Multidimensional Scalar Conservation Law
(Quarterly of Applied Mathematics)

Autori
Danilov, Vladimir ; Mitrović, Darko

Izvornik
Quarterly of applied mathematics (0033-569X) 69 (2011), 4; 613-634

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
global approximate solution; weak asymptotic method

Sažetak
We construct a global smooth approximate solution to a multidimensional scalar conservation law describing the shock wave formation process for initial data with small variation. In order to solve the problem, we modify the method of character- istics by introducing "new characteristics" | nonintersecting curves along which the (approximate) solution to the problem under study is constant. The procedure is based on the weak asymptotic method, a technique which appeared to be rather powerful for investigating nonlinear waves interactions

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA