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Yue-Jun PENG

Professor of Mathematics

Laboratoire de Mathématiques
Université Blaise Pascal / CNRS UMR 6620
63177 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

  • Weak solutions to conservation laws
  • Smooth solutions to quasilinear hyperbolic system
  • Asymptotic analysis in hydrodynamic models for plasmas and semiconductors
  • Boundary layer analysis in PDE
  • Finite volume scheme to PDE


    Recent journal publications

  • Y.J. Peng, Euler-Lagrange change of variables in conservation laws, Nonlinearity, 20 (2007), 1927-1953.
  • Y.J. Peng and S. Wang, Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations, Chin. Ann. Math., 28 (B) (2007), 583-602.
  • Y.J. Peng and J. Ruiz, Two limit cases of Born-Infeld equations, J. Hyper. Diff. Equations, 4 (2007), 565-586.
  • 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. PDE. 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.


  • Some preprints

  • Y.J. Peng and J. Ruiz, Riemann problem for the Born-Infeld system without differential constraints, submitted.
  • Y.J. Peng, S. Wang and Q.L. Gu, Relaxation limit and global existence of smooth solutions of compressible Euler-Maxwell equations, submitted.
  • X.D. Li, C.Z. Xu, Y.J. Peng and M. Tucsnak, Synthèse des observateurs pour une classe de systèmes de dimension infinie, submitted.
  • Y.J. Peng and Y.F. Yang, Well-posedness and long-time behavior of Lipschitz solutions to extremal surface equations, submitted.


  • Some links related to applied mathematics
  • European network on Hyperbolic and Kinetic Equations

  • GDRE CNRS : GREFI-MEFI

  • GDR CNRS 2900 : CHANT

  • GDR CNRS 2948 : MOAD

  • DIM , Ecole Normale Supérieure d'Ulm

  • UMPA , Ecole Normale Supérieure de Lyon

  • CMAP , Ecole Polytechnique

  • LAN , Université Paris 6

  • Courant Institute

  • Indiana University