Equivalence of dynamical ensembles and Navier-Stokes equations
نویسندگان
چکیده
منابع مشابه
Optimization with the time-dependent Navier-Stokes equations as constraints
In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...
متن کاملThe Dynamical System Generated by the 2d Navier-stokes Equations
Herein I define the global attractor for the semidynamical system (H, {S(t)}t≥0), where H is a Hilbert space and S(t) is a semigroup. In particular, I will consider the semigroup S(t) which acts on a relevant function space by S(t)u0 = u(t; u0), where u(t; u0) is the solution of a given partial differential equation at time t with initial condition u(0) = u0. By imposing regularity properties o...
متن کاملStochastic Navier-stokes Equations
1. Stochastic Integration on Hilbert spaces 2 1.1. Gaussian measures on Hilbert spaces 2 1.2. Wiener processes on Hilbert spaces 6 1.3. Martingales on Banach spaces 7 1.4. Stochastic integration 8 1.5. Appendix: Stochastic integration w.r.t. cylindrical Wiener processes 12 2. Stochastic Di erential Equations on Hilbert spaces 13 2.1. Mild, weak and strong solutions 13 2.2. Existence and uniquen...
متن کاملQuantum Navier–Stokes equations
Compressible Navier–Stokes models for quantum fluids are reviewed. They are derived from a collisional Wigner equation by a moment method and a Chapman–Enskog expansion around the quantum equilibrium. Introducing a new velocity variable, the barotropic quantum Navier-Stokes model can be reformulated as a viscous quantum Euler system, which possesses a new Lyapunov (energy) functional. This func...
متن کاملEuler and Navier - Stokes Equations
We present results concerning the local existence, regularity and possible blow up of solutions to incompressible Euler and NavierStokes equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 1996
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(96)00729-3