Modulated Energy Estimates for Singular Kernels and their Applications to Asymptotic Analyses for Kinetic Equations
From MaRDI portal
Publication:6195351
DOI10.1137/22m1537643arXiv2112.12374MaRDI QIDQ6195351
Publication date: 13 March 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.12374
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45)
Cites Work
- First-order aggregation models and zero inertia limits
- Nonlinear porous medium flow with fractional potential pressure
- Relative entropy method for the relaxation limit of hydrodynamic models
- Diffusion limit of the Vlasov-Poisson-Fokker-Planck system
- On Vlasov-Manev equations. II: Local existence and uniqueness
- Macroscopic limit of Vlasov type equations with friction
- A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
- Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces
- Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
- Classical solutions for fractional porous medium flow
- Mean-field limits: from particle descriptions to macroscopic equations
- Large friction limit of pressureless Euler equations with nonlocal forces
- Large friction-high force fields limit for the nonlinear Vlasov-Poisson-Fokker-Planck system
- Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces
- Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces
- Mean field limit for Coulomb-type flows
- Relaxation to fractional porous medium equation from Euler-Riesz system
- First-order aggregation models with alignment
- Asymptotic behaviour of a porous medium equation with fractional diffusion
- On well-posedness and singularity formation for the Euler-Riesz system
- Relative Entropy in Diffusive Relaxation
- Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations
- From gas dynamics with large friction to gradient flows describing diffusion theories
- PARABOLIC LIMIT AND STABILITY OF THE VLASOV–FOKKER–PLANCK SYSTEM
- From Newton’s second law to Euler’s equations of perfect fluids
- Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off
- An Extension Problem Related to the Fractional Laplacian
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
- The pressureless damped Euler-Riesz equations
This page was built for publication: Modulated Energy Estimates for Singular Kernels and their Applications to Asymptotic Analyses for Kinetic Equations