We study the singularity formation of smooth solutions for Cauchy problem of the Aw-Rascle traffic model with relaxation. Under the subcharacteristic assumption and general law of the velocity deviation, we construct a set of large initial data, and prove that the corresponding smooth solutions blow up in a finite time, and form a cusp singularity in the direction of genuinely nonlinear characteristic. Moreover, under the generic nondegenerate condition on initial data, we give precise description on the blowup time and location.
Min DING
,
Xiaohui LI
,
Jianlin XIANG
. FORMATION OF SINGULARITIES FOR AW-RASCLE TRAFFIC MODEL WITH RELAXATION[J]. Acta mathematica scientia, Series B, 2026
, 46(2)
: 595
-604
.
DOI: 10.1007/s10473-026-0205-3
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