Homepage of Lingbing HE
·Department of Mathematical Sciences, Tsinghua University,
Beijing, P. R. China, 100084
·Phone : (0086)-10-62798747
·Office : R205, Building HE-ER
Current Research Areas:
·Kinetic equations: Global existence and convergence rates, regularity theory of strong solutions.
·Micro-Macro models: Well-posedness theory, singularity analysis and numerical schemes.
·Fluid Mechanics: Well-posedness theory to incompressible and compressible Navier-Stokes equation，Boussinesq equation, MHD equation.
·Semiclassical Analysis: Spectrum theory of non self-adjoint operator, dispersive estimation to wave and Schrodinger equations.
Published/Accepted Journal Papers:
·Lingbing He, Regularities of the Solutions to the Fokker-Planck-Boltzmann Equation. Journal of Differential Equations，Vol.224, Issue 12, 15, June 2008, Pages 3060-3079.
· Lingbing He and Zhifei Zhang, Regularity of the solutions for Micro-Macro Models near Equilibrium. Journal of Mathematical Analysis and Applications, 348 (2008) 419-432.
·Radjesvarane Alexandre and Lingbing He, Integral Estimates for a Linear Singular Operator Linked with Boltzmann Operators Part II: High Singularities, Kinetic and Related Models, Vol.1, Num.4, December, 491-513(2008).
·Lingbing He and Ping Zhang, Decay of Solutions to a Micro-Macro Model for Polymeric Fluids near Equilibrium. SIAM Journal on Mathematical Analysis, Vol. 40, Issue 5, 1905-1922 (2009).
·Yemin Chen, Laurent Desvillettes and Lingbing He, Smoothing Effects for Classical Solutions of the Full Landau Equation, Arch. Ration. Mech. Anal. , 193 (2009), no.1 21-55.
·Lingbing He, On the global smooth solutions to 2-D Fluid/Particle System, Discrete Contin. Dyn. Syst. 27 (2010), no. 1, 237-263.
·Thierry Goudon, Lingbing He, Ayman Moussa and Ping Zhang, The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium, SIAM Journal on Mathematical Analysis, Vol. 42, No. 5, 2177-2202(2010).
·Lingbing He and Li Xu, Global well-posedness for viscoelastic uid system in bounded domains, SIAM J. Math. Anal. Volume 42, Issue 6, 2610-2625 (2010).
·Yemin Chen and Lingbing He, Smoothing estimates for Boltzmann equation with full-range interactions: Spatially homogeneous case, Arch. Ration. Mech. Anal., Volume 201, Number 2, 501-548.
·Yemin Chen and Lingbing He, Smoothing estimates for Boltzmann equation with full-range interactions: Spatially inhomogeneous case, Arch. Ration. Mech. Anal.. Vol. 203, No.2, 343-377.
·Lingbing He, Smoothing estimates for 2d incompressible Navier-Stokes equations and their applications, J.Funt.Anal. Vol 262, No. 7, 3430-3464.
·Lingbing He, Le Bris Claude and Lelievre Tony, Periodic Long-time behavior for an approximate model of nematic polymers, K.R.M, Vol 5, No.2, 357-382.
·Lingbing He, Well-Posedness of spatially homogeneous Boltzmann equation with full-range interaction, Comm. Math.Phys. Vol 312, Number 2, 447-476.