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math.PR2024
Weak solution for Stochastic Degasperis-Procesi Equation
Nikolai V. Chemetov, Fernanda Cipriano
This article is concerned with the existence of solution to the stochastic Degasperis-Procesi equation on with an infinite dimensional multiplicative noise and integra…
math.PR2024
Well-posedness of the Stochastic Degasperis-Procesi Equation
Lynnyngs K. Arruda, Nikolai V. Chemetov, Fernanda Cipriano
This article studies the Stochastic Degasperis-Procesi (SDP) equation on with an additive noise. Applying the kinetic theory, and considering the initial conditions in…
math.PR2024
Optimal control of Newtonian fluids in a stochastic environment
Nikolai Chemetov, Fernanda Cipriano
We consider a velocity tracking problem for stochastic Navier-Stokes equations in a 2D-bounded domain. The control acts on the boundary through an injection-suction device with unc…