We study the asymptotic behaviour of solutions to a scalar conservation law with a mean curvature's type diffusion, focusing our attention to the stability/metastability properties of the steady state. In particular, we show the existence of a unique steady state that slowly converges to its asymptotic configuration, with a speed rate which is exponentially small with respect to the viscosity parameter epsilon; the rigorous results are also validated by numerical simulations.
Strani M. (Corresponding)
|Data di pubblicazione:||2019|
|Titolo:||A note on the slow convergence of solutions to conservation laws with mean curvature diffusions|
|Rivista:||COMPLEX VARIABLES AND ELLIPTIC EQUATIONS|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1080/17476933.2019.1701669|
|Appare nelle tipologie:||2.1 Articolo su rivista |