Global existence and regularity for the dynamics of viscous oriented fluids

DOI10.3934/math.2020006zbMath1484.76019OpenAlexW2981276937MaRDI QIDQ2132765

Paolo Maria Mariano, Luca Bisconti

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020006

zbMATH Keywords

hyperbolic equationssecond-neighbor interactionsmechanics of complex materialsspin fluids

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

Exact controllability of a Faedo-Galërkin scheme for the dynamics of polymer fluids ⋮ Moving vesicles in elastic tissues: a model with existence and uniqueness of weak solutions

Cites Work

• Convergence of approximate deconvolution models to the mean Navier-Stokes equations
• Remarks on global attractors for the 3D Navier-Stokes equations with horizontal filtering
• On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models
• Existence and regularity for a model of viscous oriented fluid accounting for second-neighbor spin-to-spin interactions
• Reproductivity for a nematic liquid crystal model
• Well-posedness and long term behavior of a simplified Ericksen-Leslie non-autonomous system for nematic liquid crystal flows
• Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region
• Strain localization due to crack--microcrack interactions: X-FEM for a multifield approach
• Long time decay to the Leray solution of the two-dimensional Navier-Stokes equations
• Trends and challenges in the mechanics of complex materials: a view
• Global Well-Posedness and Convergence Results for the 3D-Regularized Boussinesq System
• Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
• Commutator estimates and the euler and navier-stokes equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Inviscid limits and regularity estimates for the solutions of the 2-D dissipative quasi-geostrophic equations
• On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations
• Nonparabolic dissipative systems modeling the flow of liquid crystals
• On the convergence of an approximate deconvolution model to the 3D mean Boussinesq equations
• Atlas of products for wave-Sobolev spaces on ℝ¹⁺³
• Existence Results in The Linear Dynamics of Quasicrystals with Phason Diffusion and Nonlinear Gyroscopic Effects

This page was built for publication: Global existence and regularity for the dynamics of viscous oriented fluids