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On the stabilizing effect of swimming in an active suspension
We consider a kinetic model of an active suspension of rodlike microswimmers. In certain
regimes, swimming has a stabilizing effect on the suspension. We quantify this effect near …
regimes, swimming has a stabilizing effect on the suspension. We quantify this effect near …
Uniform inviscid dam** and inviscid limit of the 2d navier-stokes equation with navier boundary conditions
J Bedrossian, S He, S Iyer, F Wang - ar** on the torus for the Vlasov-Poisson system with massless electrons
A Gagnebin, M Iacobelli - Journal of Differential Equations, 2023 - Elsevier
This paper studies the nonlinear Landau dam** on the torus T d for the Vlasov-Poisson
system with massless electrons (VPME). We consider solutions with analytic or Gevrey (γ> …
system with massless electrons (VPME). We consider solutions with analytic or Gevrey (γ> …
Nonlinear Landau dam** and wave operators in sharp Gevrey spaces
AD Ionescu, B Pausader, X Wang… - ar** in optimal weighted Gevrey-3 spaces for solutions of
the confined Vlasov-Poisson system on $\T^ d\times\R^ d $ which are small perturbations of …
the confined Vlasov-Poisson system on $\T^ d\times\R^ d $ which are small perturbations of …
Landau dam** and survival threshold
TT Nguyen - arxiv preprint arxiv:2305.08672, 2023 - arxiv.org
In this paper, we establish the large time asymptotic behavior of solutions to the linearized
Vlasov-Poisson system near general spatially homogenous equilibria $\mu (\frac12| v|^ 2) …
Vlasov-Poisson system near general spatially homogenous equilibria $\mu (\frac12| v|^ 2) …
Taylor dispersion and phase mixing in the non‐cutoff Boltzmann equation on the whole space
In this paper we describe the long‐time behavior of the non‐cutoff Boltzmann equation with
soft potentials near a global Maxwellian background on the whole space in the weakly …
soft potentials near a global Maxwellian background on the whole space in the weakly …
Orientation mixing in active suspensions
We study a popular kinetic model introduced by Saintillan and Shelley for the dynamics of
suspensions of active elongated particles where the particles are described by a distribution …
suspensions of active elongated particles where the particles are described by a distribution …
Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations
We consider the homogeneous and inhomogeneous Landau equation for very soft and
Coulomb potentials and show that approximate Type I self-similar blow-up solutions do not …
Coulomb potentials and show that approximate Type I self-similar blow-up solutions do not …
Linear and nonlinear phase mixing for the gravitational Vlasov-Poisson system under an external Kepler potential
S Chaturvedi, J Luk - arxiv preprint arxiv:2409.14626, 2024 - arxiv.org
In Newtonian gravity, a self-gravitating collisionless gas around a massive object such as a
star or a planet is modeled via the Vlasov--Poisson system with an external Kepler potential …
star or a planet is modeled via the Vlasov--Poisson system with an external Kepler potential …
The massless electron limit of the Vlasov–Poisson–Landau system
P Flynn, Y Guo - Communications in Mathematical Physics, 2024 - Springer
Due to ion–electron collisions, it is impossible to derive any two-fluid model for plasma as a
direct hydrodynamic limit of the Vlasov–Poisson–Landau system for ions and electrons. At …
direct hydrodynamic limit of the Vlasov–Poisson–Landau system for ions and electrons. At …