Acta mathematica scientia, Series B >
EXISTENCE AND UNIQUENESS OF ENTROPY SOLUTION TO PRESSURELESS EULER SYSTEM WITH A FLOCKING DISSIPATION
Received date: 2015-11-24
Revised date: 2016-04-11
Online published: 2016-10-25
We study the existence and uniqueness problem for the nonhomogeneous pressureless Euler system with the initial density being a Radon measure. Our uniqueness result is obtained in the same space as the existence theorem. Besides, by counterexample we prove that Huang-Wang's energy condition is also necessary for our nonhomogeneous system.
Key words： pressureless Euler system; Cucker-Smale model; entropy solution; flocking
Chunyin JIN . EXISTENCE AND UNIQUENESS OF ENTROPY SOLUTION TO PRESSURELESS EULER SYSTEM WITH A FLOCKING DISSIPATION[J]. Acta mathematica scientia, Series B, 2016 , 36(5) : 1262 -1284 . DOI: S0252-9602(16)30068-6
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