Publications

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Rendiconti del Circolo Matematico di Palermo, 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-03906178\">⟨hal-03906178⟩</a>", "title_s":["Standing waves for semilinear Schrödinger equations with discontinuous dispersion"], "authFullName_s":["Olivier Goubet", "Imen Manoubi"], "halId_s":"hal-03906178", "docType_s":"ART", "producedDateY_i":2022}, { "citationRef_s":"Mathematics in Engineering, 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. Mathematics in Engineering, 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-03588659\">⟨hal-03588659⟩</a>", "title_s":["Comparison principles and applications to mathematical modelling of vegetal meta-communities"], "authFullName_s":["Gauthier Delvoye", "Olivier Goubet", "Frédéric Paccaut"], "halId_s":"hal-03588659", "docType_s":"ART", "producedDateY_i":2022}, { "citationRef_s":"North-Western European Journal of Mathematics, 2022", "citationFull_s":"Mariem Abidi, Véronique Martin, Olivier Goubet. Crank-Nicolson scheme for a logarithmic Schrödinger equation. North-Western European Journal of Mathematics, 2022. <a target=\"_blank\" href=\"https://hal.science/hal-03906217\">⟨hal-03906217⟩</a>", "title_s":["Crank-Nicolson scheme for a logarithmic Schrödinger equation"], "authFullName_s":["Mariem Abidi", "Véronique Martin", "Olivier Goubet"], "halId_s":"hal-03906217", "docType_s":"ART", "producedDateY_i":2022}, { "citationRef_s":"2021", "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-03431483\">⟨hal-03431483⟩</a>", "title_s":["Comparison principles and applications to mathematical modelling of vegetal meta-communities"], "authFullName_s":["Gauthier Delvoye", "Olivier Goubet", "Frédéric Paccaut"], "halId_s":"hal-03431483", "docType_s":"UNDEFINED", "producedDateY_i":2021}, { "citationRef_s":"2021", "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-03162689\">⟨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"], "halId_s":"hal-03162689", "docType_s":"UNDEFINED", "producedDateY_i":2021}, { "citationRef_s":"Discrete and Continuous Dynamical Systems - Series S, 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. Discrete and Continuous Dynamical Systems - Series S, 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-02944262\">⟨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"], "halId_s":"hal-02944262", "docType_s":"ART", "producedDateY_i":2021}, { "citationRef_s":"Complex Variables and Elliptic Equations, 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. Complex Variables and Elliptic Equations, 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-03847378\">⟨hal-03847378⟩</a>", "title_s":["Remarks on some dissipative sine-Gordon equations"], "authFullName_s":["O. Goubet"], "halId_s":"hal-03847378", "docType_s":"ART", "producedDateY_i":2020}, { "citationRef_s":"Afrika Matematika, 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. Afrika Matematika, 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-02068336\">⟨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"], "halId_s":"hal-02068336", "docType_s":"ART", "producedDateY_i":2020}, { "citationRef_s":"Indiana University Mathematics Journal, 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. Indiana University Mathematics Journal, 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-03621773\">⟨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"], "halId_s":"hal-03621773", "docType_s":"ART", "producedDateY_i":2020}, { "citationRef_s":"Advances in Nonlinear Analysis, 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. Advances in Nonlinear Analysis, 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-03800554\">⟨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", "docType_s":"ART", "producedDateY_i":2019}, { "citationRef_s":"Bulletin of the London Mathematical Society, 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. Bulletin of the London Mathematical Society, 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-03847475\">⟨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"], "halId_s":"hal-03847475", "docType_s":"ART", "producedDateY_i":2019}, { "citationRef_s":"Discrete and Continuous Dynamical Systems - Series A, 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. Discrete and Continuous Dynamical Systems - Series A, 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-03621775\">⟨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", "docType_s":"ART", "producedDateY_i":2019}, { "citationRef_s":"Communications in Computational Physics, 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. Communications in Computational Physics, 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-03621774\">⟨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"], "halId_s":"hal-03621774", "docType_s":"ART", "producedDateY_i":2019}, { "citationRef_s":"Discrete and Continuous Dynamical Systems - Series S, 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. Discrete and Continuous Dynamical Systems - Series S, 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-03847344\">⟨hal-03847344⟩</a>", "title_s":["Regularity of extremal solutions of a Liouville system"], "authFullName_s":["Olivier Goubet"], "halId_s":"hal-03847344", "docType_s":"ART", "producedDateY_i":2019}, { "citationRef_s":"Journal of Mathematical Study, 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. Journal of Mathematical Study, 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-03847323\">⟨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", "docType_s":"ART", "producedDateY_i":2018}, { "citationRef_s":"Journal of Differential Equations, 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. Journal of Differential Equations, 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-03847309\">⟨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", "docType_s":"ART", "producedDateY_i":2018}, { "citationRef_s":"Nonlinear Differential Equations and Applications, 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. Nonlinear Differential Equations and Applications, 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-03847492\">⟨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", "docType_s":"ART", "producedDateY_i":2017}, { "citationRef_s":"Advances in Nonlinear Analysis, 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. Advances in Nonlinear Analysis, 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-03847389\">⟨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", "docType_s":"ART", "producedDateY_i":2017}, { "citationRef_s":"Advances in Nonlinear Analysis, 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. Advances in Nonlinear Analysis, 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-03847411\">⟨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", "docType_s":"ART", "producedDateY_i":2017}, { "citationRef_s":"Communications on Pure and Applied Analysis, 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. Communications on Pure and Applied Analysis, 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-03847038\">⟨hal-03847038⟩</a>", "title_s":["Stabilizing blow up solutions to nonlinear schrodinger equations"], "authFullName_s":["Laurent Di Menza", "Olivier Goubet"], "halId_s":"hal-03847038", "docType_s":"ART", "producedDateY_i":2017}, { "citationRef_s":"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. 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-03621776\">⟨hal-03621776⟩</a>", "title_s":["Generalized regularized long wave equation with white noise dispersion"], "authFullName_s":["M. Chen", "Olivier Goubet", "Youcef Mammeri"], "halId_s":"hal-03621776", "docType_s":"ART", "producedDateY_i":2017}, { "citationRef_s":"Mathematical Methods in the Applied Sciences, 2017, <a target=\"_blank\" href=\"https://dx.doi.org/10.1002/mma.4409\">⟨10.1002/mma.4409⟩</a>", "citationFull_s":"Caterina Calgaro, Olivier Goubet, Ezzeddine Zahrouni. Finite dimensional global attractor for a semi-discrete fractional nonlinear Schrödinger equation. Mathematical Methods in the Applied Sciences, 2017, <a target=\"_blank\" href=\"https://dx.doi.org/10.1002/mma.4409\">⟨10.1002/mma.4409⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01388788\">⟨hal-01388788⟩</a>", "title_s":["Finite dimensional global attractor for a semi-discrete fractional nonlinear Schrödinger equation"], "authFullName_s":["Caterina Calgaro", "Olivier Goubet", "Ezzeddine Zahrouni"], "halId_s":"hal-01388788", "docType_s":"ART", "producedDateY_i":2017}, { "citationRef_s":"2016", "citationFull_s":"Olivier Goubet, Imen Manoubi. Theoretical Analysis of a Water Wave Model using the Diffusive Approach. 2016. <a target=\"_blank\" href=\"https://hal.science/hal-01395790\">⟨hal-01395790⟩</a>", "title_s":["Theoretical Analysis of a Water Wave Model using the Diffusive Approach", "Analyse mathématique d'un modèle visqueux asymptotique à l'aide de l'approche diffusive"], "authFullName_s":["Olivier Goubet", "Imen Manoubi"], "halId_s":"hal-01395790", "docType_s":"UNDEFINED", "producedDateY_i":2016}, { "citationRef_s":"Communications on Pure and Applied Analysis, 2016, 15 (5), pp.1743-1756. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/cpaa.2016011\">⟨10.3934/cpaa.2016011⟩</a>", "citationFull_s":"Amna Dabaa, O. Goubet. Long time behavior of solutions to a Schrödinger-Poisson system in $R^3$. Communications on Pure and Applied Analysis, 2016, 15 (5), pp.1743-1756. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/cpaa.2016011\">⟨10.3934/cpaa.2016011⟩</a>. <a target=\"_blank\" href=\"https://u-picardie.hal.science/hal-03839419\">⟨hal-03839419⟩</a>", "title_s":["Long time behavior of solutions to a Schrödinger-Poisson system in $R^3$"], "authFullName_s":["Amna Dabaa", "O. Goubet"], "halId_s":"hal-03839419", "docType_s":"ART", "producedDateY_i":2016}, { "citationRef_s":"Mathematics and Computers in Simulation, 2016, Special Issue: Nonlinear Waves: Computation and Theory-IX, 127, pp.80-93. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.matcom.2013.12.008\">⟨10.1016/j.matcom.2013.12.008⟩</a>", "citationFull_s":"Denys Dutykh, Olivier Goubet. Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach. Mathematics and Computers in Simulation, 2016, Special Issue: Nonlinear Waves: Computation and Theory-IX, 127, pp.80-93. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.matcom.2013.12.008\">⟨10.1016/j.matcom.2013.12.008⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-00596804v3\">⟨hal-00596804v3⟩</a>", "title_s":["Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach"], "authFullName_s":["Denys Dutykh", "Olivier Goubet"], "halId_s":"hal-00596804", "docType_s":"ART", "producedDateY_i":2016}, { "citationRef_s":"Nonlinear Analysis: Theory, Methods and Applications, 2015, 119, pp.115-126. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.na.2014.08.015\">⟨10.1016/j.na.2014.08.015⟩</a>", "citationFull_s":"Olivier Goubet, Simon Labrunie. The Dirichlet problem for $-\\Delta \\varphi= \\mathrm{e}^{-\\varphi}$ in an infinite sector. Application to plasma equilibria.. 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Olivier Goubet