Diffusion limit of the Vlasov-Poisson-Boltzmann system
Hai-Liang Li, Tong Yang, Mingying Zhong
Abstract
<p style='text-indent:20px;'>In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We prove the convergence and establish the convergence rate of the global strong solution to the unipolar VPB system towards the solution to an incompressible Navier-Stokes-Poisson-Fourier system based on the spectral analysis with precise estimation on the initial layer.
Topics & Concepts
Limit (mathematics)DiffusionConvergence (economics)Poisson–Boltzmann equationBoltzmann equationPhysicsCompressibilityStatistical physicsMathematical analysisPoisson distributionMathematicsApplied mathematicsMechanicsQuantum mechanicsStatisticsEconomicsEconomic growthIonGas Dynamics and Kinetic TheoryFluid Dynamics and Turbulent FlowsNavier-Stokes equation solutions