We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in one-space dimension and establish that the global entropy weak solutions, constructed in [2] to the Cauchy problem for any BV initial data that has finite total mass confined in a bounded interval and initial density uniformly positive therein, admit unconditional time-asymptotic flocking without any further assumptions on the initial data. In addition, we show that the convergence to a flocking profile occurs exponentially fast.
Unconditional flocking for weak solutions to self-organized systems of Euler-type with all-to-all interaction kernel
DEBORA AMADORI
;
2024-01-01
Abstract
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in one-space dimension and establish that the global entropy weak solutions, constructed in [2] to the Cauchy problem for any BV initial data that has finite total mass confined in a bounded interval and initial density uniformly positive therein, admit unconditional time-asymptotic flocking without any further assumptions on the initial data. In addition, we show that the convergence to a flocking profile occurs exponentially fast.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
AC_NLA-revised.pdf
solo utenti autorizzati
Licenza:
Copyright dell'editore
Dimensione
470.23 kB
Formato
Adobe PDF
|
470.23 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.