Olivier Goubet
Professeur des universités
CNU : SECTION 26 - Mathematiques appliquees et applications des mathematiques
Laboratoire / équipe
Contact
Publications
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"citationFull_s":"André de Laire, Olivier Goubet, María Eugenía Martínez, Claudio Muñoz, Felipe Poblete. Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom. 2025. <a target=\"_blank\" href=\"https://hal.science/hal-05379838v1\">⟨hal-05379838⟩</a>",
"title_s":["Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom"],
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"citationFull_s":"Brahim Alouini, Olivier Goubet, Imen Manoubi. Standing wave for two-dimensional schrödinger equations with discontinuous dispersion. <i>Applicable Analysis</i>, 2025, 104 (13), pp.2414-2435. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/00036811.2025.2468506\">⟨10.1080/00036811.2025.2468506⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-04854005v1\">⟨hal-04854005⟩</a>",
"title_s":["Standing wave for two-dimensional schrödinger equations with discontinuous dispersion"],
"authFullName_s":["Brahim Alouini","Olivier Goubet","Imen Manoubi"],
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"citationFull_s":"Xueling Huang, Olivier Goubet, Jie Shen. Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model. 2024. <a target=\"_blank\" href=\"https://hal.science/hal-04853990v1\">⟨hal-04853990⟩</a>",
"title_s":["Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model"],
"authFullName_s":["Xueling Huang","Olivier Goubet","Jie Shen"],
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"citationRef_s":"<i>North-Western European Journal of Mathematics</i>, 2023, 9 (2023), pp.55-75",
"citationFull_s":"Laurent Di Menza, Olivier Goubet, Emna Hamraoui. Numerical study of quintic NLS equation with defects. <i>North-Western European Journal of Mathematics</i>, 2023, 9 (2023), pp.55-75. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847204v1\">⟨hal-03847204⟩</a>",
"title_s":["Numerical study of quintic NLS equation with defects"],
"authFullName_s":["Laurent Di Menza","Olivier Goubet","Emna Hamraoui"],
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"citationRef_s":"<i>Botany Letters</i>, 2023, pp.1-24. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/23818107.2023.2231045\">⟨10.1080/23818107.2023.2231045⟩</a>",
"citationFull_s":"Guillaume Decocq, Philippe Regnault, Jonathan Lenoir, Frédéric Paccaut, Laurent Di Menza, et al.. Modelling plant community dynamics in changing forest ecosystems: a review. <i>Botany Letters</i>, 2023, pp.1-24. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/23818107.2023.2231045\">⟨10.1080/23818107.2023.2231045⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-04214072v1\">⟨hal-04214072⟩</a>",
"title_s":["Modelling plant community dynamics in changing forest ecosystems: a review"],
"authFullName_s":["Guillaume Decocq","Philippe Regnault","Jonathan Lenoir","Frédéric Paccaut","Laurent Di Menza","Gauthier Delvoye","Elise Janvresse","Déborah Closset-Kopp","Olivier Goubet"],
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"citationRef_s":"<i>Rendiconti del Circolo Matematico di Palermo</i>, 2022, 71 (3), pp.1159-1171. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s12215-022-00782-3\">⟨10.1007/s12215-022-00782-3⟩</a>",
"citationFull_s":"Olivier Goubet, Imen Manoubi. Standing waves for semilinear Schrödinger equations with discontinuous dispersion. <i>Rendiconti del Circolo Matematico di Palermo</i>, 2022, 71 (3), pp.1159-1171. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s12215-022-00782-3\">⟨10.1007/s12215-022-00782-3⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03906178v1\">⟨hal-03906178⟩</a>",
"title_s":["Standing waves for semilinear Schrödinger equations with discontinuous dispersion"],
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"citationRef_s":"<i>Mathematics in Engineering</i>, 2022, 4 (5), pp.1-17. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/mine.2022035\">⟨10.3934/mine.2022035⟩</a>",
"citationFull_s":"Gauthier Delvoye, Olivier Goubet, Frédéric Paccaut. Comparison principles and applications to mathematical modelling of vegetal meta-communities. <i>Mathematics in Engineering</i>, 2022, 4 (5), pp.1-17. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/mine.2022035\">⟨10.3934/mine.2022035⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03588659v1\">⟨hal-03588659⟩</a>",
"title_s":["Comparison principles and applications to mathematical modelling of vegetal meta-communities"],
"authFullName_s":["Gauthier Delvoye","Olivier Goubet","Frédéric Paccaut"],
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"citationRef_s":"<i>North-Western European Journal of Mathematics</i>, 2022",
"citationFull_s":"Mariem Abidi, Véronique Martin, Olivier Goubet. Crank-Nicolson scheme for a logarithmic Schrödinger equation. <i>North-Western European Journal of Mathematics</i>, 2022. <a target=\"_blank\" href=\"https://hal.science/hal-03906217v1\">⟨hal-03906217⟩</a>",
"title_s":["Crank-Nicolson scheme for a logarithmic Schrödinger equation"],
"authFullName_s":["Mariem Abidi","Véronique Martin","Olivier Goubet"],
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"citationFull_s":"Gauthier Delvoye, Olivier Goubet, Frédéric Paccaut. Comparison principles and applications to mathematical modelling of vegetal meta-communities. 2021. <a target=\"_blank\" href=\"https://hal.science/hal-03431483v1\">⟨hal-03431483⟩</a>",
"title_s":["Comparison principles and applications to mathematical modelling of vegetal meta-communities"],
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"citationFull_s":"Nabil Bedjaoui, Vivien Desveaux, Olivier Goubet, Alice Masset. Initial value problem for one-dimensional rotating shallow water equations. 2021. <a target=\"_blank\" href=\"https://hal.science/hal-03162689v1\">⟨hal-03162689⟩</a>",
"title_s":["Initial value problem for one-dimensional rotating shallow water equations"],
"authFullName_s":["Nabil Bedjaoui","Vivien Desveaux","Olivier Goubet","Alice Masset"],
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"citationRef_s":"<i>Discrete and Continuous Dynamical Systems - Series S</i>, 2021, 14 (8), pp.2877-2891. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcdss.2020456\">⟨10.3934/dcdss.2020456⟩</a>",
"citationFull_s":"Serge Dumont, Olivier Goubet, Youcef Mammeri. Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion. <i>Discrete and Continuous Dynamical Systems - Series S</i>, 2021, 14 (8), pp.2877-2891. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcdss.2020456\">⟨10.3934/dcdss.2020456⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02944262v1\">⟨hal-02944262⟩</a>",
"title_s":["Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion"],
"authFullName_s":["Serge Dumont","Olivier Goubet","Youcef Mammeri"],
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"citationRef_s":"<i>Complex Variables and Elliptic Equations</i>, 2020, 65 (8), pp.1336-1342. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/17476933.2019.1597069\">⟨10.1080/17476933.2019.1597069⟩</a>",
"citationFull_s":"O. Goubet. Remarks on some dissipative sine-Gordon equations. <i>Complex Variables and Elliptic Equations</i>, 2020, 65 (8), pp.1336-1342. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/17476933.2019.1597069\">⟨10.1080/17476933.2019.1597069⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847378v1\">⟨hal-03847378⟩</a>",
"title_s":["Remarks on some dissipative sine-Gordon equations"],
"authFullName_s":["O. Goubet"],
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"citationRef_s":"<i>Afrika Matematika</i>, 2020, 31 (1), pp.115-127. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s13370-019-00748-2\">⟨10.1007/s13370-019-00748-2⟩</a>",
"citationFull_s":"Serge Dumont, Olivier Goubet, Imen Manoubi. Decay of solutions to a water wave model with a nonlocal viscous term. <i>Afrika Matematika</i>, 2020, 31 (1), pp.115-127. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s13370-019-00748-2\">⟨10.1007/s13370-019-00748-2⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02068336v1\">⟨hal-02068336⟩</a>",
"title_s":["Decay of solutions to a water wave model with a nonlocal viscous term"],
"authFullName_s":["Serge Dumont","Olivier Goubet","Imen Manoubi"],
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"citationRef_s":"<i>Indiana University Mathematics Journal</i>, 2020, 69 (3), pp.749-783. <a target=\"_blank\" href=\"https://dx.doi.org/10.1512/iumj.2020.69.7906\">⟨10.1512/iumj.2020.69.7906⟩</a>",
"citationFull_s":"Filippo Dell'Oro, Olivier Goubet, Youcef Mammeri, Vittorino Pata. Global Attractors for the Benjamin-Bona-Mahony Equation with Memory. <i>Indiana University Mathematics Journal</i>, 2020, 69 (3), pp.749-783. <a target=\"_blank\" href=\"https://dx.doi.org/10.1512/iumj.2020.69.7906\">⟨10.1512/iumj.2020.69.7906⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03621773v1\">⟨hal-03621773⟩</a>",
"title_s":["Global Attractors for the Benjamin-Bona-Mahony Equation with Memory"],
"authFullName_s":["Filippo Dell'Oro","Olivier Goubet","Youcef Mammeri","Vittorino Pata"],
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"citationRef_s":"<i>Advances in Nonlinear Analysis</i>, 2019, 9 (1), pp.654-664. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/anona-2020-0019\">⟨10.1515/anona-2020-0019⟩</a>",
"citationFull_s":"Mostafa Abounouh, Hassan Al Moatassime, Aicha Driouch, Olivier Goubet. A constructive method for convex solutions of a class of nonlinear Black-Scholes equations. <i>Advances in Nonlinear Analysis</i>, 2019, 9 (1), pp.654-664. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/anona-2020-0019\">⟨10.1515/anona-2020-0019⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03800554v1\">⟨hal-03800554⟩</a>",
"title_s":["A constructive method for convex solutions of a class of nonlinear Black-Scholes equations"],
"authFullName_s":["Mostafa Abounouh","Hassan Al Moatassime","Aicha Driouch","Olivier Goubet"],
"halId_s":"hal-03800554",
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"citationRef_s":"<i>Bulletin of the London Mathematical Society</i>, 2019, 51 (3), pp.531-538. <a target=\"_blank\" href=\"https://dx.doi.org/10.1112/blms.12249\">⟨10.1112/blms.12249⟩</a>",
"citationFull_s":"Olivier Goubet, Biagio Ricceri. Non‐existence results for an eigenvalue problem involving Lipschitzian non‐linearities with non‐positive primitive. <i>Bulletin of the London Mathematical Society</i>, 2019, 51 (3), pp.531-538. <a target=\"_blank\" href=\"https://dx.doi.org/10.1112/blms.12249\">⟨10.1112/blms.12249⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847475v1\">⟨hal-03847475⟩</a>",
"title_s":["Non‐existence results for an eigenvalue problem involving Lipschitzian non‐linearities with non‐positive primitive"],
"authFullName_s":["Olivier Goubet","Biagio Ricceri"],
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"citationRef_s":"<i>Discrete and Continuous Dynamical Systems - Series S</i>, 2019, 12 (2), pp.339-345. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcdss.2019023\">⟨10.3934/dcdss.2019023⟩</a>",
"citationFull_s":"Olivier Goubet. Regularity of extremal solutions of a Liouville system. <i>Discrete and Continuous Dynamical Systems - Series S</i>, 2019, 12 (2), pp.339-345. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcdss.2019023\">⟨10.3934/dcdss.2019023⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847344v1\">⟨hal-03847344⟩</a>",
"title_s":["Regularity of extremal solutions of a Liouville system"],
"authFullName_s":["Olivier Goubet"],
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"citationRef_s":"<i>Communications in Computational Physics</i>, 2019, 26 (5, SI), pp.1397-1414. <a target=\"_blank\" href=\"https://dx.doi.org/10.4208/cicp.2019.js60.02\">⟨10.4208/cicp.2019.js60.02⟩</a>",
"citationFull_s":"Guillaume Fenger, Olivier Goubet, Youcef Mammeri. Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion. <i>Communications in Computational Physics</i>, 2019, 26 (5, SI), pp.1397-1414. <a target=\"_blank\" href=\"https://dx.doi.org/10.4208/cicp.2019.js60.02\">⟨10.4208/cicp.2019.js60.02⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03621774v1\">⟨hal-03621774⟩</a>",
"title_s":["Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion"],
"authFullName_s":["Guillaume Fenger","Olivier Goubet","Youcef Mammeri"],
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"citationRef_s":"<i>Discrete and Continuous Dynamical Systems - Series A</i>, 2019, 39 (10), pp.5637-5658. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcds.2019247\">⟨10.3934/dcds.2019247⟩</a>",
"citationFull_s":"Filippo Dell'Oro, Olivier Goubet, Youcef Mammeri, Vittorino Pata. A SEMIDISCRETE SCHEME FOR EVOLUTION EQUATIONS WITH MEMORY. <i>Discrete and Continuous Dynamical Systems - Series A</i>, 2019, 39 (10), pp.5637-5658. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcds.2019247\">⟨10.3934/dcds.2019247⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03621775v1\">⟨hal-03621775⟩</a>",
"title_s":["A SEMIDISCRETE SCHEME FOR EVOLUTION EQUATIONS WITH MEMORY"],
"authFullName_s":["Filippo Dell'Oro","Olivier Goubet","Youcef Mammeri","Vittorino Pata"],
"halId_s":"hal-03621775",
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"citationRef_s":"<i>Journal of Mathematical Study</i>, 2018, 51 (3), pp.294-308. <a target=\"_blank\" href=\"https://dx.doi.org/10.4208/jms.v51n3.18.03\">⟨10.4208/jms.v51n3.18.03⟩</a>",
"citationFull_s":"Olivier Goubet. Gevrey Regularity of the Global Attractor for Damped Forced KdV Equation on the Real Line. <i>Journal of Mathematical Study</i>, 2018, 51 (3), pp.294-308. <a target=\"_blank\" href=\"https://dx.doi.org/10.4208/jms.v51n3.18.03\">⟨10.4208/jms.v51n3.18.03⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847323v1\">⟨hal-03847323⟩</a>",
"title_s":["Gevrey Regularity of the Global Attractor for Damped Forced KdV Equation on the Real Line"],
"authFullName_s":["Olivier Goubet"],
"halId_s":"hal-03847323",
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"producedDateY_i":2018
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"citationRef_s":"<i>Journal of Differential Equations</i>, 2018, 264 (4), pp.3052-3066. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.jde.2017.11.010\">⟨10.1016/j.jde.2017.11.010⟩</a>",
"citationFull_s":"Olivier Goubet. Analyticity of the global attractor for damped forced periodic Korteweg–de Vries equation. <i>Journal of Differential Equations</i>, 2018, 264 (4), pp.3052-3066. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.jde.2017.11.010\">⟨10.1016/j.jde.2017.11.010⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847309v1\">⟨hal-03847309⟩</a>",
"title_s":["Analyticity of the global attractor for damped forced periodic Korteweg–de Vries equation"],
"authFullName_s":["Olivier Goubet"],
"halId_s":"hal-03847309",
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"producedDateY_i":2018
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"citationRef_s":"<i>Nonlinear Differential Equations and Applications</i>, 2017, 24 (5), 16pp. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00030-017-0482-6\">⟨10.1007/s00030-017-0482-6⟩</a>",
"citationFull_s":"Olivier Goubet, Ezzeddine Zahrouni. Finite dimensional global attractor for a fractional nonlinear Schrödinger equation. <i>Nonlinear Differential Equations and Applications</i>, 2017, 24 (5), 16pp. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00030-017-0482-6\">⟨10.1007/s00030-017-0482-6⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847492v1\">⟨hal-03847492⟩</a>",
"title_s":["Finite dimensional global attractor for a fractional nonlinear Schrödinger equation"],
"authFullName_s":["Olivier Goubet","Ezzeddine Zahrouni"],
"halId_s":"hal-03847492",
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"producedDateY_i":2017
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"citationRef_s":"<i>Advances in Nonlinear Analysis</i>, 2017, 6 (2), pp.183-197. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/anona-2016-0238\">⟨10.1515/anona-2016-0238⟩</a>",
"citationFull_s":"Olivier Goubet, Emna Hamraoui. Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case. <i>Advances in Nonlinear Analysis</i>, 2017, 6 (2), pp.183-197. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/anona-2016-0238\">⟨10.1515/anona-2016-0238⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847389v1\">⟨hal-03847389⟩</a>",
"title_s":["Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case"],
"authFullName_s":["Olivier Goubet","Emna Hamraoui"],
"halId_s":"hal-03847389",
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"citationRef_s":"<i>Advances in Nonlinear Analysis</i>, 2017, 8 (1), pp.253-266. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/anona-2016-0274\">⟨10.1515/anona-2016-0274⟩</a>",
"citationFull_s":"Olivier Goubet, Imen Manoubi. Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach. <i>Advances in Nonlinear Analysis</i>, 2017, 8 (1), pp.253-266. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/anona-2016-0274\">⟨10.1515/anona-2016-0274⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847411v1\">⟨hal-03847411⟩</a>",
"title_s":["Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach"],
"authFullName_s":["Olivier Goubet","Imen Manoubi"],
"halId_s":"hal-03847411",
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"producedDateY_i":2017
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"citationRef_s":"<i>Communications on Pure and Applied Analysis</i>, 2017, 16 (3), pp.1059-1082. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/cpaa.2017051\">⟨10.3934/cpaa.2017051⟩</a>",
"citationFull_s":"Laurent Di Menza, Olivier Goubet. Stabilizing blow up solutions to nonlinear schrodinger equations. <i>Communications on Pure and Applied Analysis</i>, 2017, 16 (3), pp.1059-1082. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/cpaa.2017051\">⟨10.3934/cpaa.2017051⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03847038v1\">⟨hal-03847038⟩</a>",
"title_s":["Stabilizing blow up solutions to nonlinear schrodinger equations"],
"authFullName_s":["Laurent Di Menza","Olivier Goubet"],
"halId_s":"hal-03847038",
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"producedDateY_i":2017
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"citationRef_s":"<i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, 2017, 5 (3), pp.319-342. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s40072-016-0089-7\">⟨10.1007/s40072-016-0089-7⟩</a>",
"citationFull_s":"M. Chen, Olivier Goubet, Youcef Mammeri. Generalized regularized long wave equation with white noise dispersion. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, 2017, 5 (3), pp.319-342. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s40072-016-0089-7\">⟨10.1007/s40072-016-0089-7⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03621776v1\">⟨hal-03621776⟩</a>",
"title_s":["Generalized regularized long wave equation with white noise dispersion"],
"authFullName_s":["M. Chen","Olivier Goubet","Youcef Mammeri"],
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