Page 529 - 8th European Congress of Mathematics ∙ 20-26 June 2021 ∙ Portorož, Slovenia ∙ Book of Abstracts
P. 529
NONSMOOTH VARIATIONAL METHODS FOR PDES AND APPLICATIONS IN
MECHANICS (MS-8)
Singular perturbation approximation for the Kuramoto-Sakaguchi
integro-differential model
Mikhail Lavrentiev, mmlavrentiev@gmail.com
Institute of Automation and Electrometry SB RAS, Russian Federation
The Kuramoto-Sakaguchi (or Kuramoto) model was generalized in 1996 so to take into ac-
count inertial effects of the nonlinearly coupled random oscillators. The ensuing nonlinear
integro-differential partial differential equation is of the Fokker-Planck type, possesses several
peculiarities, and was studied in the following years under the restrictive hypothesis that the
oscillators frequency distribuiton had a bounded support. In this paper, such an assumption is
relaxed, and existence, uniqueness, and regularity of solution are established.
527
MECHANICS (MS-8)
Singular perturbation approximation for the Kuramoto-Sakaguchi
integro-differential model
Mikhail Lavrentiev, mmlavrentiev@gmail.com
Institute of Automation and Electrometry SB RAS, Russian Federation
The Kuramoto-Sakaguchi (or Kuramoto) model was generalized in 1996 so to take into ac-
count inertial effects of the nonlinearly coupled random oscillators. The ensuing nonlinear
integro-differential partial differential equation is of the Fokker-Planck type, possesses several
peculiarities, and was studied in the following years under the restrictive hypothesis that the
oscillators frequency distribuiton had a bounded support. In this paper, such an assumption is
relaxed, and existence, uniqueness, and regularity of solution are established.
527
