<i>BV</i> solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel
نویسندگان
چکیده
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in one-space dimension and establish global existence entropy weak solutions concentration to the Cauchy problem for any [Formula: see text] initial data that has finite total mass confined bounded interval density uniformly positive therein. In addition, under suitable condition on data, we show admit time-asymptotic flocking.
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2022
ISSN: ['0218-2025', '1793-6314', '1793-4060']
DOI: https://doi.org/10.1142/s0218202522500543