Global existence of strong solutions to the kinetic Cucker–Smale model coupled with the Stokes equations
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Publication:5855646
DOI10.1063/5.0031258zbMath1462.35297arXiv1910.07170OpenAlexW3129186734MaRDI QIDQ5855646
Publication date: 19 March 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.07170
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strong solutions to PDEs (35D35)
Related Items (3)
Optimal energy decay rate for a kinetic equation coupled with the Stokes equations ⋮ Global existence of strong solutions to the kinetic Cucker-Smale model coupled with the two dimensional incompressible Navier-Stokes equations ⋮ The global existence of strong solutions to thermomechanical Cucker-Smale-Stokes equations in the whole domain
Cites Work
- Asymptotic flocking dynamics of Cucker-Smale particles immersed in compressible fluids
- A kinetic flocking model with diffusion
- Well posedness for pressureless Euler system with a flocking dissipation in Wasserstein space
- Global existence of weak and strong solutions to Cucker-Smale-Navier-Stokes equations in \(\mathbb{R}^2\)
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Well-posedness of weak and strong solutions to the kinetic Cucker-Smale model
- Global existence of strong solution for the Cucker-Smale-Navier-Stokes system
- The local existence and blowup criterion for strong solutions to the kinetic Cucker-Smale model coupled with the compressible Navier-Stokes equations
- Existence and uniqueness of entropy solution to pressureless Euler system with a flocking dissipation
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation
- Global existence of strong solutions to the Cucker-Smale-Stokes system
- Time-asymptotic interaction of flocking particles and an incompressible viscous fluid
- A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
- A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- Particle, kinetic, and hydrodynamic models of swarming
- Emergent Dynamics for the Hydrodynamic Cucker--Smale System in a Moving Domain
- Emergent Behavior in Flocks
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