Derivation of nonlinear aggregation-diffusion equation from a kinetic BGK-type equation
Fuente:
arXiv
Saved in:
| Main Authors: | Choi, Young-Pil, Kim, Jeongho, Tse, Oliver |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
From kinetic mixtures to compressible two-phase flow: A BGK-type model and rigorous derivation
by: Cho, Seung Yeon, et al.
Published: (2025)
by: Cho, Seung Yeon, et al.
Published: (2025)
Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
by: Hraivoronska, Anastasiia, et al.
Published: (2023)
by: Hraivoronska, Anastasiia, et al.
Published: (2023)
Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation
by: Choi, Young-Pil, et al.
Published: (2023)
by: Choi, Young-Pil, et al.
Published: (2023)
On well/ill-posedness for the generalized surface quasi-geostrophic equations in Hölder spaces
by: Choi, Young-Pil, et al.
Published: (2024)
by: Choi, Young-Pil, et al.
Published: (2024)
A unified relative entropy framework for macroscopic limits of Vlasov--Fokker--Planck equations
by: Choi, Young-Pil, et al.
Published: (2025)
by: Choi, Young-Pil, et al.
Published: (2025)
Global weak solutions to nonlinear kinetic Fokker--Planck equations in bounded domains under physical initial data
by: Choi, Young-Pil, et al.
Published: (2025)
by: Choi, Young-Pil, et al.
Published: (2025)
Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming
by: Chaudhuri, Nilasis, et al.
Published: (2024)
by: Chaudhuri, Nilasis, et al.
Published: (2024)
On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility
by: Fagioli, Simone, et al.
Published: (2021)
by: Fagioli, Simone, et al.
Published: (2021)
The global Cauchy problem for the Euler-Riesz equations
by: Choi, Young-Pil, et al.
Published: (2024)
by: Choi, Young-Pil, et al.
Published: (2024)
Exponential and algebraic decay in Euler--alignment system with nonlocal interaction forces
by: Carrillo, José A., et al.
Published: (2025)
by: Carrillo, José A., et al.
Published: (2025)
On a class of nonlinear BGK-type kinetic equations with density dependent collision rates
by: Evans, Josephine, et al.
Published: (2025)
by: Evans, Josephine, et al.
Published: (2025)
Gradient estimates for nonlinear kinetic Fokker-Planck equations
by: Kim, Kyeongbae, et al.
Published: (2025)
by: Kim, Kyeongbae, et al.
Published: (2025)
Uniform-in-time propagation of chaos and bifurcation in two-type adhesion systems
by: Chae, Myeongju, et al.
Published: (2026)
by: Chae, Myeongju, et al.
Published: (2026)
Long-time behavior towards viscous-dispersive shock for Navier-Stokes equations of Korteweg type
by: Han, Sungho, et al.
Published: (2024)
by: Han, Sungho, et al.
Published: (2024)
An asymptotic preserving scheme for the quantum Liouville-BGK equation
by: Duboscq, Romain, et al.
Published: (2025)
by: Duboscq, Romain, et al.
Published: (2025)
Deriving sub-diffusion equations
by: Perthame, Benoît, et al.
Published: (2025)
by: Perthame, Benoît, et al.
Published: (2025)
On Dirac equations with Hartree type nonlinearity in modulation spaces
by: Kim, Seongyeon, et al.
Published: (2023)
by: Kim, Seongyeon, et al.
Published: (2023)
Quantitative light-particle limit for the Vlasov-Fokker-Planck-Navier-Stokes system
by: Choi, Young-Pil, et al.
Published: (2026)
by: Choi, Young-Pil, et al.
Published: (2026)
Stationary solutions to the spherically symmetric compressible fluid with capillarity effect
by: Kim, Jeongho
Published: (2026)
by: Kim, Jeongho
Published: (2026)
Hydrodynamic limit from kinetic models with massless electrons to the ionic Euler--Poisson system
by: Choi, Young-Pil, et al.
Published: (2025)
by: Choi, Young-Pil, et al.
Published: (2025)
Non-Hydrodynamic Solutions to the linear Density-dependent BGK equation
by: Kogelbauer, Florian
Published: (2026)
by: Kogelbauer, Florian
Published: (2026)
Asymptotic behavior toward viscous shock for impermeable wall and inflow problem of barotropic Navier-Stokes equations
by: Huang, Xushan, et al.
Published: (2024)
by: Huang, Xushan, et al.
Published: (2024)
Derivation of kinetic and diffusion equations from a hard-sphere Rayleigh gas using collision trees and semigroups
by: Matthies, Karsten, et al.
Published: (2024)
by: Matthies, Karsten, et al.
Published: (2024)
A nonlocal-to-local approach to aggregation-diffusion equations
by: Falcó, Carles, et al.
Published: (2025)
by: Falcó, Carles, et al.
Published: (2025)
On the first eigenvalue of a nonlinear Schrödinger type equation
by: A, Ardra
Published: (2026)
by: A, Ardra
Published: (2026)
The 3D kinetic Couette flow via the Boltzmann equation in the diffusive limit
by: Duan, Renjun, et al.
Published: (2024)
by: Duan, Renjun, et al.
Published: (2024)
Harnack-type inequalities for nonlinear evolution equations
by: Slegers, Jessica
Published: (2026)
by: Slegers, Jessica
Published: (2026)
A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit
by: Borsche, Raul, et al.
Published: (2026)
by: Borsche, Raul, et al.
Published: (2026)
Gradient estimates for an orthotropic nonlinear diffusion equation in the Heisenberg group
by: Circelli, Michele
Published: (2025)
by: Circelli, Michele
Published: (2025)
Stability properties of solutions to convection-reaction equations with nonlinear diffusion
by: Alla, Alessandro, et al.
Published: (2025)
by: Alla, Alessandro, et al.
Published: (2025)
On the Cahn-Hilliard equation with nonlinear diffusion: the non-convex case
by: Conti, Monica, et al.
Published: (2025)
by: Conti, Monica, et al.
Published: (2025)
Fractional diffusion-wave equations with critical nonlinearities in Lebesgue spaces
by: Costa, Masterson, et al.
Published: (2026)
by: Costa, Masterson, et al.
Published: (2026)
Volume-preserving mean-curvature flow as a singular limit of a diffusion-aggregation equation
by: Mellet, Antoine, et al.
Published: (2024)
by: Mellet, Antoine, et al.
Published: (2024)
Fujita-type results for parabolic equations with Hartree-type nonlinearities
by: Fino, Ahmad Z., et al.
Published: (2025)
by: Fino, Ahmad Z., et al.
Published: (2025)
Global existence of Lagrangian solutions to the ionic Vlasov--Poisson system
by: Choi, Young-Pil, et al.
Published: (2025)
by: Choi, Young-Pil, et al.
Published: (2025)
Global existence and asymptotic stability for the Toner-Tu model of flocking
by: Choi, Young-Pil, et al.
Published: (2024)
by: Choi, Young-Pil, et al.
Published: (2024)
Large-time behavior of pressureless Euler--Poisson equations with background states
by: Choi, Young-Pil, et al.
Published: (2025)
by: Choi, Young-Pil, et al.
Published: (2025)
Gradient Estimates for the doubly nonlinear diffusion equation on Complete Riemannian Manifolds
by: Guo, Chen, et al.
Published: (2025)
by: Guo, Chen, et al.
Published: (2025)
Layer dynamics for the Allen-Cahn equation with nonlinear phase-dependent diffusion
by: Mejía, José Alejandro Butanda, et al.
Published: (2025)
by: Mejía, José Alejandro Butanda, et al.
Published: (2025)
Energy solutions of the Cauchy-Dirichlet problem for fractional nonlinear diffusion equations
by: Akagi, Goro, et al.
Published: (2024)
by: Akagi, Goro, et al.
Published: (2024)
Similar Items
-
From kinetic mixtures to compressible two-phase flow: A BGK-type model and rigorous derivation
by: Cho, Seung Yeon, et al.
Published: (2025) -
Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
by: Hraivoronska, Anastasiia, et al.
Published: (2023) -
Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation
by: Choi, Young-Pil, et al.
Published: (2023) -
On well/ill-posedness for the generalized surface quasi-geostrophic equations in Hölder spaces
by: Choi, Young-Pil, et al.
Published: (2024) -
A unified relative entropy framework for macroscopic limits of Vlasov--Fokker--Planck equations
by: Choi, Young-Pil, et al.
Published: (2025)