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10 papers · 2 filters
Entropy inequality and energy dissipation of inertial Qian-Sheng model for nematic liquid crystals
Ning Jiang, Yi-Long Luo, Yangjun Ma +1
For the inertial Qian-Sheng model of nematic liquid crystals in the -tensor framework, we illustrate the roles played by the entropy inequality and energy dissipation in the wel…
Heat kernel of supercritical SDEs with unbounded drifts
Stéphane Menozzi, Zhang Xicheng
Let and . Consider the following SDE in :where is a $d…
Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation
Weiwei Ao, Juan Davila, Manuel del Pino +2
For the generalized surface quasi-geostrophic equation $$\left\{ \begin{aligned} & \partial_t θ+u\cdot \nabla θ=0, \quad \text{in } \mathbb{R}^2 \times (0,T), \\ & u=\nabla^\perp ψ…
Hydrodynamic limit of the incompressible Navier-Stokes-Fourier-Maxwell System with Ohm's Law from the Vlasov-Maxwell-Boltzmann system: Hilbert expansion approach
Ning Jiang, Yi-Long Luo, Teng-Fei Zhang
We prove a global-in-time limit from the two-species Vlasov-Maxwell-Boltzmann system to the two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law. Besides th…
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift
S. Menozzi, A. Pesce, X. Zhang
We consider non degenerate Brownian SDEs with H{ö}lder continuous in space diffusion coefficient and unbounded drift with linear growth. We derive two sided bounds for the associat…
Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function
Linlin Sun, Jingyong Zhu
We consider an evolution problem associated to the Kazdan-Warner equation on a closed Riemann surface \begin{align*} -Δ_{g}u=8π\left(\frac{he^{u}}{\int_Σhe^{u}{\rm d}μ_{g}}…