TY - JOUR
T1 - Singularity Formation in Fractional Burgers’ Equations
AU - Coclite, Giuseppe Maria
AU - Dipierro, Serena
AU - Maddalena, Francesco
AU - Valdinoci, Enrico
PY - 2020/8/1
Y1 - 2020/8/1
N2 - The formation of singularities in finite time in nonlocal Burgers’ equations, with time-fractional derivative, is studied in detail. The occurrence of finite-time singularity is proved, revealing the underlying mechanism, and precise estimates on the blowup time are provided. The employment of the present equation to model a problem arising in job market is also analyzed.
AB - The formation of singularities in finite time in nonlocal Burgers’ equations, with time-fractional derivative, is studied in detail. The occurrence of finite-time singularity is proved, revealing the underlying mechanism, and precise estimates on the blowup time are provided. The employment of the present equation to model a problem arising in job market is also analyzed.
KW - Anomalous transportation
KW - Finite-time Blowup
KW - Shock singularity
UR - http://www.scopus.com/inward/record.url?scp=85078098898&partnerID=8YFLogxK
U2 - 10.1007/s00332-020-09608-x
DO - 10.1007/s00332-020-09608-x
M3 - Article
AN - SCOPUS:85078098898
VL - 30
SP - 1285
EP - 1305
JO - Journal of Nonlinear Science
JF - Journal of Nonlinear Science
SN - 0938-8974
IS - 4
ER -