WebJul 1, 2009 · On the Feedback Stabilization of Boussinesq Equations This paper provides feedback stabilization results, preserving the invariance of a given convex set, for the Boussinesq system, in 2D and 3D. Webflow invariance 287 Theorem 3.3. Let K0 be a closed convex subset of L2 nn =23 suchthat0∈K0 and PK 0 my =mP K 0 y forally∈L2 n (3.19) where PK 0 L2 n →K 0 is ...
Volume-preserving mean curvature flow for tubes in rank one …
WebNondegenerate periodic orbits of a 3-d volume-preserving flow are either of hyperbolic or elliptic type: see Figure 11 for an illustration, and compare with the 2-d case of Figure 1. (It is not the case that elliptic orbits are necessarily surrounded by invariant tori—this classification records only linear behavior of the return map.) WebOct 7, 2024 · Learning invariance preserving moment closure model for Boltzmann-BGK equation. As one of the main governing equations in kinetic theory, the Boltzmann equation is widely utilized in aerospace, microscopic flow, etc. Its high-resolution simulation is crucial in these related areas. However, due to the Boltzmann equation's high dimensionality ... chispin israel
Optimal and Robust Control of Fluid Flows: Some Theoretical and ...
WebFeb 16, 2024 · In this work, an invariance preserving moment closure method by neural networks will be proposed. This approach is motivated by the regularized moment … WebFeb 20, 2008 · Theodore Tachim Medjo received a Ph.D. in Numerical Analysis from the University of Paris-Orsay in 1995. He is an Associate Professor at Florida International University. His research is in the area of numerical analysis, scientific computing, fluid mechanics, partial differential equations, and control. WebJul 26, 2006 · This work is concerned with the maximum principles for optimal control problems governed by 3-dimensional Navier--Stokes equations. Some types of state constraints (time variables) are considered. chis plau