Mean-Field Limit Derivation of a Monokinetic Spray Model with Gyroscopic Effects
DOI10.1137/22m1495937arXiv2204.02145MaRDI QIDQ6202902
Publication date: 27 February 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.02145
Asymptotic behavior of solutions to PDEs (35B40) Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Vlasov equations (35Q83) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
- Unnamed Item
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- On mean field limits for dynamical systems
- The Vlasov-Poisson dynamics as the mean field limit of extended charges
- Mean field limit and propagation of chaos for Vlasov systems with bounded forces
- A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
- Propagation of chaos for the 2D viscous vortex model
- Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing
- \(N\)-particles approximation of the Vlasov equations with singular potential
- Ordinary differential equations, transport theory and Sobolev spaces
- The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
- Functional analysis, Sobolev spaces and partial differential equations
- Vlasov equations
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Dynamics of a planar Coulomb gas
- Mean-field limit for collective behavior models with sharp sensitivity regions
- Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
- Propagation of chaos for the two-dimensional Navier-Stokes equation
- Mean-field limits: from particle descriptions to macroscopic equations
- Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\)
- Mean field limit for Coulomb-type flows
- On mean-field limits and quantitative estimates with a large class of singular kernels: application to the Patlak-Keller-Segel model
- A review of the mean field limits for Vlasov equations
- A mean field limit for the Vlasov-Poisson system
- On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity
- On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system
- On the rigorous derivation of the incompressible Euler equation from Newton's second law
- Convergence of the point vortex method for 2-D vortex sheet
- Vorticity and Incompressible Flow
- Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Particle approximation of Vlasov equations with singular forces: Propagation of chaos
- WASSERSTEIN DISTANCES FOR VORTICES APPROXIMATION OF EULER-TYPE EQUATIONS
- Existence de Nappes de Tourbillon en Dimension Deux
- Propagation of Chaos for a Class of First Order Models with Singular Mean Field Interactions
- The weak vorticity formulation of the 2-d euler equations and concentration-cancellation
- The point-vortex method for periodic weak solutions of the 2-D Euler equations
- On a Vlasov–Euler system for 2D sprays with gyroscopic effects
- From Newton’s second law to Euler’s equations of perfect fluids
- The vortex-wave system with gyroscopic effects
- On the mean field limit for Brownian particles with Coulomb interaction in 3D
- Continuity equations and ODE flows with non-smooth velocity
- Non-stationary flow of an ideal incompressible liquid
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
- The mean-field approximation for higher-dimensional Coulomb flows in the scaling-critical L ∞ space
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