Hydrodynamic Models for Collective Behavior

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:kerchi
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  We study the critical thresholds for the compressible pressureless Euler equations with pairwise attractive or repulsive interaction forces and non-local alignment forces in velocity in one dimension.We provide a complete description for the critical threshold to the system without interaction forces leading to a sharp dichotomy condition between global in time existence or finite-time blow-up of strong solutions.
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