Results 71 to 80 of about 331,405 (340)
Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations [PDF]
The work described here shows that the known variational principle for the Navier-Stokes equations and the adjoint system can be modified to produce a set of Euler-Lagrange variational equations which have the same order and same solution as the Navier ...
Sajjadi, Shahrdad G.
core +2 more sources
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map for recovering the full trajectories from their corresponding coarse mesh
Biswas, Animikh +3 more
core +1 more source
Stokes’ hypothesis allows for the frequent neglect of the bulk viscosity term related to fluid dilation effects on the viscous stress tensor in Newtonian flows.
S Kokou Dadzie
doaj +1 more source
Uniform Gas Flow Distribution into Several Partial Flows under Consideration of Closable Outlets
The uniform distribution of a gas flow into several partial flows poses a challenge in various technical fields. This study presents a static flow distributor design that ensures an equal distribution of an inlet gas flow regardless of the flow rate and the number of open outlets.
Nikolas Schmidt +3 more
wiley +1 more source
A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
Reproductive solutions for the g-Navier-Stokes and g-Kelvin-Voight equations
This article presents the existence of reproductive solutions of g-Navier-Stokes and g-Kelvin-Voight equations. In this way, for weak solutions, we reach basically the same result as for classic Navier-Stokes equations.
Luis Friz +2 more
doaj
The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations
We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class ∇u∈Lp(0,∞;Bq,∞0(ℝ3)), (2α/p)+(3/q)=2α ...
Wen-Juan Wang, Yan Jia
doaj +1 more source
Feedback stabilization of Navier–Stokes equations [PDF]
Summary: The author proves that the steady-state solutions to Navier-Stokes equations with internal controllers are locally exponentially stabilizable by linear feedback controllers provided by an LQ control problem associated with the linearized equation.
openaire +3 more sources
Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley +1 more source
The paper considers the regularity problem on three-dimensional incompressible Navier-Stokes equations in general orthogonal curvilinear coordinate systems.
Fan Geng, Shu Wang, Yongxin Wang
doaj +1 more source

