Entropy Hierarchies for Equations of Compressible Fluids and Self-Organized Dynamics
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Publication:3296899
DOI10.1137/19M1278983zbMath1444.92139arXiv1908.01784OpenAlexW3039520003MaRDI QIDQ3296899
Theodore D. Drivas, Peter Constantin, Roman Shvydkoy
Publication date: 2 July 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01784
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Animal behavior (92D50)
Related Items (8)
Swarming: hydrodynamic alignment with pressure ⋮ Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density ⋮ Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment ⋮ From BGK-alignment model to the pressured Euler-alignment system with singular communication weights ⋮ Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment ⋮ Finite- and infinite-time cluster formation for alignment dynamics on the real line
Cites Work
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- Existence of Weak Solutions to Kinetic Flocking Models
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- Emergent Behavior in Flocks
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