Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Quasi‐Lipschitz condition in potential theory
View through CrossRef
AbstractThe velocity $ \vec v $ of an incompressible flow in a bounded three‐dimensional domain is represented by its vorticity $ \vec j $ with the help of an apparently new representation formula. Using this formula we prove a quasi‐Lipschitz estimate for $ \vec v $ in dependence of the supremum norm of $ \vec j $. Our quasi‐Lipschitz bound extends to the case where $ \vec v $ is represented by any continuous $ \vec j $ ≠ rot $ \vec v $
Title: Quasi‐Lipschitz condition in potential theory
Description:
AbstractThe velocity $ \vec v $ of an incompressible flow in a bounded three‐dimensional domain is represented by its vorticity $ \vec j $ with the help of an apparently new representation formula.
Using this formula we prove a quasi‐Lipschitz estimate for $ \vec v $ in dependence of the supremum norm of $ \vec j $.
Our quasi‐Lipschitz bound extends to the case where $ \vec v $ is represented by any continuous $ \vec j $ ≠ rot $ \vec v $.
Related Results
The research of $({\rm{G}}, {\rm{w}})$-Chaos and G-Lipschitz shadowing property
The research of $({\rm{G}}, {\rm{w}})$-Chaos and G-Lipschitz shadowing property
<abstract>
<p>In this paper, we introduce the concepts of $ (G, w) - $ Chaos and $ G - $ Lipschitz shadowing property. We study the dynamical properties of $ (G, w) - ...
Minimal lipschitz extension
Minimal lipschitz extension
Extensions lipschitziennes minimales
Cette thèse est consacrée aux quelques problèmes mathématiques concernant les extensions minimales de Lipschitz. Elle est organ...
Adaptive Algorithms for Optimization Beyond Lipschitz Requirements
Adaptive Algorithms for Optimization Beyond Lipschitz Requirements
Algorithmes adaptatifs pour l'optimisation au-delà des conditions de Lipschitz
Plusieurs problèmes importants issus de l'apprentissage statistique et de la science ...
Generated Fuzzy Quasi-ideals in Ternary Semigroups
Generated Fuzzy Quasi-ideals in Ternary Semigroups
Here in this paper, we provide characterizations of fuzzy quasi-ideal in terms of level and strong level subsets. Along with it, we provide expression for the generated fuzzy quasi...
Quasi-semiprime Modules
Quasi-semiprime Modules
Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever is a...
Optimising tool wear and workpiece condition monitoring via cyber-physical systems for smart manufacturing
Optimising tool wear and workpiece condition monitoring via cyber-physical systems for smart manufacturing
Smart manufacturing has been developed since the introduction of Industry 4.0. It consists of resource sharing and networking, predictive engineering, and material and data analyti...
Lipschitz Continuity and Approximate Equilibria
Lipschitz Continuity and Approximate Equilibria
AbstractIn this paper, we study games with continuous action spaces and non-linear payoff functions. Our key insight is that Lipschitz continuity of the payoff function allows us t...
Hodge–Dirac, Hodge-Laplacian and Hodge–Stokes operators in $L^p$ spaces on Lipschitz domains
Hodge–Dirac, Hodge-Laplacian and Hodge–Stokes operators in $L^p$ spaces on Lipschitz domains
This paper concerns Hodge–Dirac operators
D_{{}^\Vert}=d+\underline{\delta}
acting in
...