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Navier-Stokes Equations
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Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.Citations
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On some control problems in fluid mechanics
Frédéric Abergel,Roger Temam +1 more
TL;DR: In this article, the problem of minimizing turbulence in an evolutionary Navier-Stokes flow is addressed from the point of view of optimal control and a numerical algorithm based on the gradient method for the corresponding cost function is described.
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The Euler equations as a differential inclusion
TL;DR: In this article, a new point of view on weak solutions of the Euler equations is proposed, describing the motion of an ideal incompressible fluid in R n with n 2.
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Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
TL;DR: In this paper, a stabilized finite element method is proposed to solve the transient Navier-Stokes equations based on the decomposition of the unknowns into resolvable and subgrid scales.
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Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
Chongsheng Cao,Edriss S. Titi +1 more
TL;DR: In this article, the authors prove the global existence and uniqueness of strong solutions to the three-dimensional viscous primitive equations, which model large scale ocean and atmosphere dynamics, and propose a global solution for the Navier-Stokes equation.
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Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
TL;DR: In this article, it was shown that any properly scaled sequence of DiPerna-Lions renormalized solutions of some classical Boltzmann equations has fluctuations that converge to an infinitesimal Maxwellian with fluid variables that satisfy the incompressibility and Boussinesq relations.