Homepage of Lingbing HE

·文本框:  Assistant Professsor

·Department of Mathematical Sciences, Tsinghua University,

                              Beijing, P. R. China, 100084 

·E-mail: lbhe@math.tsinghua.edu.cn 

·Phone : (0086)-10-62798747 

·Office : R205, Building HE-ER

·Fax: 0086-10-62792401





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 equationBoussinesq 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 EquationsVol.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.