JUNCA Stéphane

This is not the final form of these preprints. If you wish to get a paper copy, please send me a email at the above address. Thanks.

Recent Preprints

  • with Mathias Legrand, Sokly Heng
    Nonsmooth modal analysis of a N degree-of-freedom system with a purely elastic impact law. on HAL, preprint 2015.
  • with Pierre Castelli,
    Smoothing effect in generalized BV spaces for entropy solutions of scalar conservation laws. on HAL, preprint 2015.


    • Publications

  • with Bruno Lombard,
    Stability of neutral delay differentials equations modeling wave propagation in cracked media. on HAL,
    AIMS Proceedings,to appear (2015).
  • with Pierre-Emmanuel JABIN,
    A continuous model for ratings. on HAL,
    SIAM Journal on Applied Mathematics, 75, no. 2,p. 420-442, (2015).
  • with Ly Tong,
    Limitation on the method of strained coordinates for vibrations with weak grazing unilateral contact. on HAL,
    Nonlinear Dynamics, no. 1-2, p. 197-207, (2015).

  • with Christian Bourdarias, Marguerite Gisclon,
    Fractional BV spaces and first applications for scalar conservation laws.
    J. Hyperbolic Differ. Equ. 11, no. 4, p. 655-677, (2014). on HAL,
  • High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws.
    SIAM J. Math. Anal. , no. 3, p. 2160-2184, (2014) on HAL,
  • with Bruno Lombard,
    Stability of a critical nonlinear neutral delay differential equation. on HAL,
    Journal of Differential Equations , (JDE), no. 7, p. 2368-2391, (2014).
  • with Pierre Castelli,
    Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws. on HAL,
    AIMS Ser. on Appl. Math. 8, p. 709-716, (2014).


  • with Bruno Lombard,
    Interaction between periodic elastic waves and two contact nonlinearities. on HAL,
    Mathematical Models and Methods in Applied Sciences, 22, no 4,  41 p., (2012).

  • with Bernard Rousselet,
    The method of strained coordinates with weak unilateral springs. Last version in pdf , on HAL,
    IMA Journal of Applied Mathematics , (IMA J Appl Math) 76(2): 251-276, (2011).

  • with Christian Bourdarias, Marguerite Gisclon,
    Strong Stability with respect to weak limit for a Hyperbolic System arising from Gas Chromatography. on HAL,
    Methods and Applications of Analysis , Vol 17 (3), 301-330, (2010).
  • with Christian Bourdarias, Marguerite Gisclon,
    Blow up at the hyperbolic boundary for a 2x2 system arising from chemical engineering. on HAL,
    Journal of Hyperbolic Differential Equations (JHDE), Vol. 7, (2), pp 297-316, (2010).
  • with Florent Berthelin,
    Averaging lemmas with a force term in the transport equation. on HAL,
    Journal de Mathematiques Pures et Appliquees, (JMPA), (9), 93, No 2, pp 113-131, (2010).

  • with Bruno Lombard,
    Dilatation of a one-dimensional nonlinear crack impacted by a periodic elastic wave. on HAL,
    SIAM Journal on Applied Mathematics (SIAP), Volume 70, Issue 3, pp. 735-761 (2009)

  • Geometric Optics with Critical Vanishing Viscosity for One Dimensional SemiLinear Initial Value Problem, pdf
    Revista Matemática Iberoamericana , (Rev. Mat. Iberoamericana), 24, No 2, pp 549-566 (2008).
  • with Christian Bourdarias, Marguerite Gisclon,
    Hyperbolic Models in Gas-Solid Chromatography, pdf
    Boletin de la Sociedad Espanola de Matematica Aplicada , (Bol. Soc. Esp. Mat. Apl.) (Bol. SeMA), No 43, pp 27-55, (2008).

  • with Christian Bourdarias, Marguerite Gisclon,
    Existence of weak entropy solutions for gas chromatography with one or two active species and non convex isotherms: pdf
    Communications in Mathematical Sciences , (C.M.S.) Vol. 5, No. 1, pp. 67-84, (2007).

  • with Gui-Qiang Chen, Michel Rascle,
    Validity of Nonlinear Geometric Optics for Entropy Solutions of Multidimensional Scalar Conservation Laws: pdf
    Journal of Differential Equations, 222 (2006), 439--475.
  • with Christian Bourdarias, Marguerite Gisclon,
    Some mathematical results on a system of transport equations with an algebraic constraint describing fixed-bed adsorption of gases: pdf
    Journal of Mathematical Analysis and Applications , 313 (2006), no. 2, 551--571.




  • with Thierry Goudon, Giuseppe Toscani,
    Fourier-Based Distances and Berry-Esseen Like Inequalities for Smooth Densities: ps or pdf
    Monatshefte fur Mathematik, 135, p.115-136, (2002).
  • with Michel Rascle,
    Strong relaxation of the isothermal Euler system to the heat equation: ps or pdf
    ZAMP, Journal of Applied Mathematics and Physics, 53, no. 3, p. 239-264, (2002).


  • with Michel Rascle,
    Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations: ps or pdf
    Quaterly of Applied Mathematics, 58, no. 3, p. 511-521, (2000).
  • with Thierry Goudon,
    Vanishing pressure in gas dynamics equations: ps or pdf
    Z. angew. Math. Phys., 51, p. 143-148, (2000).


  • A two-scale convergence result for a nonlinear conservation law in one space variable: ps or pdf
    Asymptotic Analysis, 17, p. 221-238, (1998).
  • Reflexions d'ondes oscillantes semilineaires monodimensionnelles : ps or pdf
    Communications in Partial Differential Equations, 23,(4),p. 727-759, (1998).

    Proceedings, Preprints

    This is not the final form of these preprints.

  • Anders Thorin, Mathias Legrand, Stephane Junca,
    Nonsmmooth modal analysis: Investigation of a 2-dof spring mass system subject to an elastic impact law, on HAL, Boston, IDETC/CIE (2015).

  • with Christian Bourdarias, Marguerite Gisclon,
    Quelques resultats mathematiques sur un systeme hyperbolique modelisant la chromatographie en phase gazeuse avec prise en compte de l'effet de sorption, , resume.
          Congres SMAI 2009,25-29 Mai, La Colle sur Loup, proceeding de l'expose du 28 Mai 2009.

  • with Bernard Rousselet,
    Asymptotic vibrations with small unilateral contacts,
          Fifth meeting of the GDR Ultrasonic, Anglet, 2-6 June, 2008, 
          Ultrasonic Wave Propagation in Non Homogeneous Media,      Springer Procceedings in Physics(128) , p. 173-182, (2009).

  • Relaxation du systeme d'Euler isotherme avec amortissement vers l'equation de la chaleur,
    preprint 1996.

    Works in progress

  • with Mathias Legrand

  • with Bruno Lombard

  • with Pierre-Emmanuel Jabin
  • with Christian Bourdarias, Marguerite Gisclon,
  • with Bernard Rousselet

  • and also
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