Well posedness for pressureless Euler system with a flocking dissipation in Wasserstein space

DOI10.1016/j.na.2015.08.003zbMath1330.35306OpenAlexW1585659850MaRDI QIDQ888879

Chunyin Jin

Publication date: 2 November 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.08.003

zbMATH Keywords

conservation lawflockingCucker-Smale modelpressureless Euler system

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Euler equations (35Q31)

Related Items

Sticky particles and the pressureless Euler equations in one spatial dimension ⋮ Flocking of the Motsch-Tadmor model with a cut-off interaction function ⋮ Well-posedness of weak and strong solutions to the kinetic Cucker-Smale model ⋮ Well posedness for pressureless Euler system with a flocking dissipation in Wasserstein space ⋮ Global existence of strong solutions to the kinetic Cucker-Smale model coupled with the two dimensional incompressible Navier-Stokes equations ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ Probability measures on path space for rectilinear damped pressureless Euler-Poisson equations ⋮ A trajectory map for the pressureless Euler equations ⋮ The local existence and blowup criterion for strong solutions to the kinetic Cucker-Smale model coupled with the compressible Navier-Stokes equations ⋮ Newton's second law with a semiconvex potential ⋮ Global existence of strong solutions to the kinetic Cucker–Smale model coupled with the Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Well posedness for pressureless Euler system with a flocking dissipation in Wasserstein space
• From particle to kinetic and hydrodynamic descriptions of flocking
• On the Cauchy problem of transportation equations
• Solutions containing delta-waves of Cauchy problems for a nonstrictly hyperbolic system
• 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
• Particle, kinetic, and hydrodynamic models of swarming
• One-Dimensional Pressureless Gas Systems with/without Viscosity
• A Wasserstein Approach to the One-Dimensional Sticky Particle System
• Sticky Particles and Scalar Conservation Laws
• On a nonhomogeneous system of pressureless flow
• CONTRACTIVE METRICS FOR SCALAR CONSERVATION LAWS
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
• Well posedness for pressureless flow