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Yue-Jun PENG

Professor of Mathematics

Laboratoire de Mathématiques
Université Blaise Pascal / CNRS UMR 6620
63171 Aubière Cedex, France.
Phone : 33 (0) 4 73 40 70 86
Fax : 33 (0) 4 73 40 70 64
E-mail : peng@math.univ-bpclermont.fr

Research fields

Recent journal publications

Preprints

Some links related to applied mathematics

Research fields

  • Entropy solutions to conservation laws
  • Smooth solutions to quasilinear hyperbolic system
  • Asymptotic analysis in hydrodynamic models for plasmas and semiconductors
  • Initial and boundary layer analysis in PDE

    Recent journal publications

  • T.T. Li, Y.J. Peng, Y.F. Yang and Y. Zhou, Mechanism of the formation of singularities for quasilinear hyperbolic systems with linearly degenerate characteristic fields, Math. Methods Appl. Sciences, 31 (2) (2008), 193-227.
  • Y.J. Peng and Y.F. Yang, Junction layer analysis in one-dimensional steady-state Euler-Poisson equations, J. Math. Anal. Appl. 344 (2008), 440-448.
  • Y.J. Peng and S. Wang, Convergence of compressible Euler-Maxwell equations to incompressible Euler equations, Comm. Part. Diff. Equations, 33 (2008), 349-376.
  • Y.J. Peng and S. Wang, Rigorous derivation of incompressible e-MHD equations from compressible Euler-Maxwell equations, SIAM J. Math. Anal. 40 (2008), 540-565.
  • Y.J. Peng and S. Wang, Asymptotic expansions in two-fluid compressible Euler-Maxwell equations with small parameters, Discrete Cont. Dynamical Systems, 23 (2009), 415-433.
  • C. Chainais, Y.J. Peng and I. Violet, Numerical solutions of Euler-Poisson systems for potential flows, Appl. Numer. Math. 59 (2009), 301-315.
  • T.T. Li, Y.J. Peng and J. Ruiz, Entropy solutions for linearly degenerate hyperbolic systems of rich type, J. Math. Pures Appl. 91 (2009), 553-568.
  • Y.G. Lu, Y.J. Peng and C. Klingenberg, Existence of global solutions to isentropic gas dynamics equations with a source term, Sci. China Math. 53 (2010), no. 1, 115-124.
  • G. Ali, L. Chen, A. Jüngel and Y.J. Peng, The zero-electron-mass limit in the hydrodynamic model for plasmas, Nonlinear Analysis TMA, 72 (2010), 4415-4427.
  • Y.J. Peng and Y.F. Yang, Well-posedness and long-time behavior of Lipschitz solutions to generalized extremal surface equations, J. Math. Physics, 52 (2011), No.5, 053702, (23 pages).
  • Y.J. Peng, S. Wang and Q.L. Gu, Relaxation limit and global existence of smooth solutions of compressible Euler-Maxwell equations, SIAM J. Math. Anal. 43 (2011), 944-970.
  • X.D. Li, C.Z. Xu, Y.J. Peng and M. Tucsnak, Synthèse des observateurs pour une classe de systèmes de dimension infinie, J. Euro. Syst. Auto. 45 (2011), 363-383.
  • M.L. Hajjej and Y.J. Peng, Initial layers and zero-relaxation limits of Euler-Maxwell equations, J. Diff. Equations, 252 (2012), 1441-1465.
  • Y.J. Peng, Global existence and long-time behavior of smooth solutions of two-fluid Euler-Maxwell equations, Annales IHP Analyse Non Linéaire, 29 (2012), 737-759.
  • Y.J. Peng and J. Ruiz, Riemann problem for the Born-Infeld system without differential constraints, IMA J. Appl. Math. 78 (2013), 102-131.
  • M.L. Hajjej and Y.J. Peng, Initial layers and zero-relaxation limits of multidimensional Euler-Poisson equations, Math. Meth. Appl. Sciences, 36 (2013), 182-195.

    • Preprints

  • Y.J. Peng and J. Xu, Global well-posedness of the hydrodynamic model for two-carrier plasmas, J. Diff. Equations, to appear.
  • Y.J. Peng, Stability of steady state solutions for Euler-Maxwell equations,, submitted.
  • Y.J. Peng and Y.F. Yang, Long-time behaviors and stability of entropy solutions for linearly degenerate hyperbolic systems of rich type, submitted.
  • Y.C. Li, Y.J. Peng and Y.G. Wang, From two-fluid Euler-Poisson equations to one-fluid Euler equations, submitted.
  • Y.H. Feng and Y.J. Peng, S. Wang, Asymptotic behavior of global smooth solutions for full compressible Navier-Stokes-Maxwell equations, submitted.

    • All publications publi

    Some links related to applied mathematics
  • GDRE CNRS : GREFI-MEFI

  • GDR CNRS 2900 : CHANT

  • DIM , Ecole Normale Supérieure d'Ulm

  • UMPA , Ecole Normale Supérieure de Lyon

  • CMAP , Ecole Polytechnique

  • LJLL , Université Paris 6

  • Courant Institute

  • Indiana University