On the (deterministic and stochastic) Navier-Stokes equations with constrained \(L^2\) energy of the solution

Zdzislaw Brzezniak (University of York)

Frank Adams 2,

We study deterministic and stochastic Navier-Stokes equations with a constraint on \(L^2\) energy of the solution.

We prove the existence and uniqueness of local strong solutions and the existence of a global solutions for the constrained 2D Navier-Stokes equations on the torus on the whole Euclidean space. This is based on joint works with Gaurav Dhariwal (York) and Mauro Mariani (Roma I).

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