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63

Stéphane JUNCA


Hyperbolic PDEs: conservation laws; nonlinear acoustics; nonlinear modes: unilateral contact; Elo's ranking


Journal articles39 documents

  • Christian Bourdarias, Anupam Pal Choudhury, Billel Guelmame, Stéphane Junca. Entropy solutions in $BV^s$ for a class of triangular systems involving a transport equation. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, In press. ⟨hal-02895603v3⟩
  • Huong Le Thi, Stéphane Junca, Mathias Legrand. First return time to the contact hyperplane for n-degree-of-freedom vibro-impact systems. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2022, 27 (1), pp.1-44. ⟨10.3934/dcdsb.2021031⟩. ⟨hal-01957546v2⟩
  • Billel Guelmame, Didier Clamond, Stéphane Junca. Hamiltonian regularisation of the unidimensional barotropic Euler equations. Nonlinear Analysis: Real World Applications, Elsevier, 2022, 64, 22p. ⟨hal-02907304⟩
  • David Urman, Mathias Legrand, Stéphane Junca. D'Alembert function for exact non-smooth modal analysis of the bar in unilateral contact. Nonlinear Analysis: Hybrid Systems, Elsevier, 2021, ⟨10.1016/j.nahs.2021.101115⟩. ⟨hal-02984137v2⟩
  • Shyam Sundar Ghoshal, Billel Guelmame, Animesh Jana, Stéphane Junca. Optimal regularity for all time for entropy solutions of conservation laws in $BV^s$. Nonlinear Differential Equations and Applications, Springer Verlag, 2020, 27 (5), pp.46. ⟨10.1007/s00030-020-00649-5⟩. ⟨hal-02495036v2⟩
  • Stéphane Junca, Bruno Lombard. Analysis of a Sugimoto's model of nonlinear acoustics in an array of Helmholtz resonators. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2020, 80 (4), pp.1704-1722. ⟨10.1137/19M1280624⟩. ⟨hal-02186692v2⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Kinetic formulation of a $2 \times 2$ hyperbolic system arising in gas chromatography. Kinetic and Related Models , AIMS, 2020, 13 (5), pp.869-888. ⟨10.3934/krm.2020030⟩. ⟨hal-01471783⟩
  • Billel Guelmame, Stéphane Junca, Didier Clamond. Regularizing effect for conservation laws with a Lipschitz convex flux. Communications in Mathematical Sciences, International Press, 2019, 17 (8), pp.2223-2238. ⟨10.4310/CMS.2019.v17.n8.a6⟩. ⟨hal-01943834⟩
  • Huong Le Thi, Stéphane Junca, Mathias Legrand. Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases. Nonlinear Analysis: Hybrid Systems, Elsevier, 2018, 28, pp.54-74. ⟨10.1016/j.nahs.2017.10.009⟩. ⟨hal-01305719v2⟩
  • Pierre Castelli, Stéphane Junca. On the maximal smoothing effect for multidimensional scalar conservation laws. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2017, 155, pp.207-218. ⟨10.1016/j.na.2017.01.018⟩. ⟨hal-01290871⟩
  • Pierre Castelli, Stéphane Junca. Smoothing effect in $BV_\Phi$ for entropy solutions of scalar conservation laws. Journal of Mathematical Analysis and Applications, Elsevier, 2017, 451, pp.712-735. ⟨10.1016/j.jmaa.2017.02.026⟩. ⟨hal-01133725v2⟩
  • Mathias Legrand, Stéphane Junca, Sokly Heng. Nonsmooth modal analysis of a $N$-degree-of-freedom system undergoing a purely elastic impact law. Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2017, 45, pp.190-219. ⟨10.1016/j.cnsns.2016.08.022⟩. ⟨hal-01185980v2⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca, Yue-Jun Peng. Eulerian and Lagrangian formulations in $BV^s$ for gas-solid chromatography. Communications in Mathematical Sciences, International Press, 2016, 14 (6), pp.1665 - 1685. ⟨10.4310/CMS.2016.v14.n6.a10⟩. ⟨hal-01258286⟩
  • Pierre-Emmanuel Jabin, Stéphane Junca. A Continuous Model For Ratings. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2015, 75 (2), pp.420-442. ⟨10.1137/140969324⟩. ⟨hal-01143609⟩
  • Stéphane Junca, Ly Tong. Limitation on the Method of Strained Coordinates for Vibrations with Weak Grazing Unilateral Contact. Nonlinear Dynamics, Springer Verlag, 2015, 80, pp.197-207. ⟨10.1007/s11071-014-1860-9⟩. ⟨hal-01143612⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Fractional BV spaces and first applications to scalar conservation laws. Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2014, 11 (4), pp.655-677. ⟨10.1142/S0219891614500209⟩. ⟨hal-00785747⟩
  • Stéphane Junca, Bruno Lombard. Stability of a critical nonlinear neutral delay differential equation. Journal of Differential Equations, Elsevier, 2014, 26, pp.2368-2391. ⟨10.1016/j.jde.2014.01.004⟩. ⟨hal-00743970⟩
  • Stéphane Junca. High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2014, 46 (3), pp.2160-2184. ⟨10.1137/120880367⟩. ⟨hal-00576662v3⟩
  • Stéphane Junca, Bruno Lombard. Interaction between periodic elastic waves and two contact nonlinearities. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2012, 22 (4), pp.41. ⟨10.1142/S0218202511500229⟩. ⟨hal-00549051v2⟩
  • Stéphane Junca, Bernard Rousselet. The Method of Strained Coordinates for Vibrations with Weak Unilateral Springs. IMA Journal of Applied Mathematics, Oxford University Press (OUP), 2011, 76 (02), pp.251-276. ⟨10.1093/imamat/hxq045⟩. ⟨hal-00395351v2⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Strong Stability with respect to weak limit for a Hyperbolic System arising from Gas Chromatography. Methods and Applications of Analysis, 2010, 17 (3), pp.301-330. ⟨10.4310/MAA.2010.v17.n3.a5⟩. ⟨hal-00387499⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. BLOW UP AT THE HYPERBOLIC BOUNDARY FOR A $ 2 × 2$ SYSTEM ARISING FROM CHEMICAL ENGINEERING. Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2010, 7 (2), pp.297-316. ⟨10.1142/S0219891610002116⟩. ⟨hal-00403226v2⟩
  • Florent Berthelin, Stéphane Junca. Averaging lemmas with a force term in the transport equation. Journal de Mathématiques Pures et Appliquées, Elsevier, 2010, 93 (2), pp.113-131. ⟨10.1016/j.matpur.2009.10.009⟩. ⟨hal-00874401⟩
  • Stéphane Junca, Bruno Lombard. Dilatation of a one-dimensional nonlinear crack impacted by a periodic elastic wave. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2009, 70 (3), pp.735-761. ⟨10.1137/080741021⟩. ⟨hal-00339279v2⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Hyperbolic models in gas-solid chromatography. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, Springer, 2008, 43, pp.29-57. ⟨hal-00387202⟩
  • Stéphane Junca. Geometric optics with critical vanishing viscosity for one-dimensional semilinear initial value problems. Revista Matemática Iberoamericana, European Mathematical Society, 2008, 24 (2), pp.549-566. ⟨10.4171/RMI/546⟩. ⟨hal-01145732⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Existence of weak entropy solutions for gas chromatography system with one or two active species and non convex isotherms. Communications in Mathematical Sciences, International Press, 2007, 5 (1), pp.67-84. ⟨10.4310/CMS.2007.v5.n1.a3⟩. ⟨hal-00387192⟩
  • Stéphane Junca. Etonnante précision de la méthode des moindres carrés pour des séries chronologiques issues de modèles linéaires fortement perturbés. Le Bulletin Vert, Association des Professeurs de Mathématiques de l'Enseignement Public (APMEP), 2006, 467, pp.855-867. ⟨hal-01312346⟩
  • Stéphane Junca. Limites d'images de suites et limite de fonction. RMS : Revue de la filière mathématiques, 2006, 116 (2), pp.17-26. ⟨hal-01312350⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Some mathematical results on a system of transport equations with an algebraic constraint describing fixed-bed adsorption of gases. Journal of Mathematical Analysis and Applications, Elsevier, 2006, 313 (2), pp.551-571. ⟨10.1016/j.jmaa.2005.07.082⟩. ⟨hal-00387187⟩
  • Gui-Qiang Chen, Stéphane Junca, Michel Rascle. Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws. Journal of Differential Equations, Elsevier, 2006, 222 (2), pp.439-475. ⟨10.1016/j.jde.2005.04.014⟩. ⟨hal-01312334⟩
  • Stéphane Junca. Calculatrices, nombres positifs, précisions relatives, pourcentages et distance logarithmique. Le Bulletin Vert, Association des Professeurs de Mathématiques de l'Enseignement Public (APMEP), 2005, 458, pp.395-406. ⟨hal-01312347⟩
  • Thierry Goudon, Stéphane Junca, Giuseppe Toscani. Fourier-based distances and Berry-Esseen like inequalities. Monatshefte für Mathematik, Springer Verlag, 2002, 135 (2), pp.115-136. ⟨10.1007/s006050200010⟩. ⟨hal-01312340⟩
  • Stéphane Junca, Michel Rascle. Strong relaxation of the isothermal Euler system to the heat equation. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2002, 53 (2), pp.239-264. ⟨10.1007/s00033-002-8154-7⟩. ⟨hal-01312344⟩
  • Thierry Goudon, Stéphane Junca. Vanishing pressure in gas dynamics equations. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2000, 51 (1), pp.143-148. ⟨10.1007/PL00001502⟩. ⟨hal-01312338⟩
  • Stéphane Junca, Michel Rascle. Relaxation of the isothermal Euler-Poisson system to the Drift-Diffusion equations. Quarterly of Applied Mathematics, American Mathematical Society, 2000, 58 (3), pp.511-521. ⟨10.1090/qam/1770652⟩. ⟨hal-01312342⟩
  • Stéphane Junca. Reflections of one-dimensional oscillations. Communications in Partial Differential Equations, Taylor & Francis, 1998, 23 (3-4), pp.727-759. ⟨10.1080/03605309808821362⟩. ⟨hal-01312324⟩
  • Stéphane Junca. Moyennes, iterations et convergence quadratique. RMS : Revue de la filière mathématiques, 1998, 3-4, pp.359-363. ⟨hal-01312349⟩
  • Stéphane Junca. A two-scale convergence result for a nonlinear scalar conservation law in one space variable. Asymptotic Analysis, IOS Press, 1998, 17 (3), pp.221-238. ⟨hal-01312326⟩

Conference papers16 documents

  • Stéphane Junca. Convergence du classement Elo, du microscopique au mésoscopique. Journées d'Analyse appliquée Nice-Toulon-Marseille, Jun 2021, Porquerolles, France. ⟨hal-03274280⟩
  • Stéphane Junca. Existence in $BV^s$ for $2 \times 2$ systems of conservation laws. NEPDE The fifth international conference on nonlinear evolutionary partial differential equations-theories and applications, Song Jiang, Congming Li, Tatsien Li, Chengjie Liu, Yue-Jun Peng, Weike Wang, Ya-Guang Wang, Feng Xie, Tong Yang, Dec 2020, Shanghai, China. ⟨hal-03143791⟩
  • Harold Berjamin, Stéphane Junca, Bruno Lombard. Smooth solutions for nonlinear elastic waves with softening. HYP2018 - 17th International Conference on Hyperbolic PDEs, Alberto BRESSAN, Marha Lewicka, Dehua Wang, Yuxi Zheng, Jun 2018, College Park, United States. pp.304-3011. ⟨hal-01994898v2⟩
  • Stéphane Junca, Huong Le Thi, Mathias Legrand, Anders Thorin. Impact dynamics near unilaterally constrained grazing orbits. 9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary. ⟨hal-01562154⟩
  • Pierre Castelli, Pierre-Emmanuel Jabin, Stéphane Junca. Fractional spaces and conservation laws. XVI International Conference on Hyperbolic Problems: Theory, Numerics, Applications: Hyp2016, Klingenberg C.; Westdickenberg M., Aug 2016, Aachen, Germany. pp.285-293, ⟨10.1007/978-3-319-91545-6_23⟩. ⟨hal-01407099⟩
  • Anders Thorin, Mathias Legrand, Stéphane Junca. Nonsmooth modal analysis: Investigation of a 2-dof spring-mass system subject to an elastic impact law. International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2015, Boston, United States. ⟨10.1115/DETC2015-46796⟩. ⟨hal-01185973⟩
  • Stéphane Junca, Bruno Lombard. Interactions between ultrasonic waves and nonlinear cracks with finite compressibility. Journées d’Analyse Appliquée Nice-Toulon-Marseille, May 2015, Porquerolles, France. ⟨hal-01310479⟩
  • Stéphane Junca, Bruno Lombard. Stability of neutral delay differential equations modeling wave propagation in cracked media. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Jun 2014, Madrid, Spain. ⟨10.3934/proc.2015.0678⟩. ⟨hal-01143712v2⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. BLOW-UP OR NOT BLOW-UP AT THE HYPERBOLIC BOUNDARY FOR A CHEMISTRY SYSTEM ?. Hyp 2012, 2012, Padova, Italy. ⟨hal-03175517⟩
  • Pierre Castelli, Stéphane Junca. Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws. 14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Fabio Ancona, Alberto Bressan, Pierangelo Marcati, Andrea Marson, Jun 2012, Padoue, Italy. pp.709-716. ⟨hal-00785529⟩
  • Stéphane Junca, Bruno Lombard. Interaction of elastic waves with contact nonlinearities. Workshop du GdR 2501, Mar 2012, Nice, France. ⟨hal-01310438⟩
  • Stéphane Junca, Bruno Lombard. Interaction of elastic waves with contact nonlinearities. 7th Conference of the GDRE-US 2501, May 2012, Oléron, France. ⟨hal-01310449⟩
  • Stéphane Junca, Bruno Lombard. Scattering of periodic elastic waves by nonlinear cracks. 10th International Conference on Mathematical and Numerical Aspects of Waves WAVES 2011, Jul 2011, Vancouver, Canada. pp.645-648. ⟨hal-01310379⟩
  • Florent Berthelin, Stéphane Junca. Des lemmes de moyenne avec un terme de force dans l’équation de transport. Seminaire: Equations aux Dérivées Partielles. Centre de Mathématiques Laurent Schwartz. Ecole Polytechnique. 2009–2010, Exp. No. XV, 14 pp., 2010, Palaiseau, France. ⟨hal-02282572⟩
  • Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Quelques résultats mathématiques sur un système hyperbolique modélisant la chromatographie en phase gazeuse avec prise en compte de l’effet de sorption. SMAI 2009, May 2009, La Colle sur Loup, France. ⟨hal-02301936⟩
  • Stéphane Junca, Bernard Rousselet. Asymptotic Expansions of Vibrations with Small Unilateral Contact. Ultrasonic Wave Propagation in Non Homogeneous Media, Jun 2008, Anglet, France. pp.173-182. ⟨hal-02444688⟩

Preprints, Working Papers, ...4 documents

  • Stéphane Junca. Contractions to update Elo ratings for round-robin tournaments. 2021. ⟨hal-03286591⟩
  • Billel Guelmame, Stéphane Junca, Didier Clamond, Robert Pego. Global weak solutions of a Hamiltonian regularised Burgers equation. 2020. ⟨hal-02478872⟩
  • Boris Haspot, Stéphane Junca. Fractional BV solutions for $2 \times 2$ systems of conservation laws with a linearly degenerate field. 2020. ⟨hal-02532444⟩
  • Billel Guelmame, Didier Clamond, Stéphane Junca. Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom. 2020. ⟨hal-02915262⟩

Reports3 documents

  • Adrien Krifa, Florian Spinelli, Stéphane Junca. On the convergence of the Elo rating system for a Bernoulli model and round-robin tournaments. [Research Report] Université Côte D’Azur. 2021. ⟨hal-03286065⟩
  • Stéphane Junca. Distances relatives sur $]0, +∞[$. [Rapport de recherche] LJAD, Université de Nice; IUFM de l'Académie de Nice. 2007. ⟨hal-01312356⟩
  • Stéphane Junca. Relaxation du système d'Euler isotherme avec amortissement vers l'équation de la chaleur. [Rapport de recherche] LJAD, Université de Nice. 1996. ⟨hal-02301933⟩

Habilitation à diriger des recherches1 document

  • Stéphane Junca. Oscillating waves for nonlinear conservation laws. Analysis of PDEs [math.AP]. Université Nice Sophia Antipolis, 2013. ⟨tel-00845827⟩