Search Results - "Goubet, Olivier"
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Standing waves for semilinear Schrödinger equations with discontinuous dispersion
Published in Rendiconti del Circolo matematico di Palermo (01-12-2022)“…We consider here semilinear Schrödinger equations with a non standard dispersion that is discontinuous at x = 0 . We first establish the existence and…”
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Singular Solutions of Elliptic Equations with Iterated Exponentials
Published in The Journal of geometric analysis (01-04-2020)“…We construct positive singular solutions for the problem - Δ u = λ exp ( e u ) in B 1 ⊂ R n ( n ≥ 3 ), u = 0 on ∂ B 1 , having a prescribed behaviour around…”
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Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion
Published in Communications in computational physics (2019)“…We consider a midpoint scheme to approximate analytical solutions to a white noise driven BBM equation that reads du-du(xx)+u(x)circle dw+u(p)u(x)dt=0. We…”
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4
Finite dimensional global attractor for a fractional nonlinear Schrödinger equation
Published in Nonlinear differential equations and applications (01-10-2017)“…We consider a weakly damped forced nonlinear fractional Schrödinger equation u t - i ( - Δ ) α u + i | u | 2 u + γ u = f for a given α ∈ 1 2 , 1 considered in…”
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Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case
Published in Advances in nonlinear analysis (01-05-2017)“…In this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in…”
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Comparison principles and applications to mathematical modelling of vegetal meta-communities
Published in Mathematics in engineering (01-01-2022)“…This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a…”
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Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach
Published in Advances in nonlinear analysis (21-02-2017)“…In this paper, we study the following water wave model with a nonlocal viscous term:…”
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A constructive method for convex solutions of a class of nonlinear Black-Scholes equations
Published in Advances in nonlinear analysis (01-01-2020)“…In this work, we are concerned with the theoretical study of a nonlinear Black-Scholes equation resulting from market frictions. We will focus our attention on…”
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Proceedings of SMAI 2017
Published in ESAIM. Proceedings and surveys (2018)“…Papers related to the congress SMAI 2017, 8th biennale of Applied and Industrial Mathematics…”
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10
Decay of Solutions to a Linear Viscous Asymptotic Model for Water Waves
Published in Chinese annals of mathematics. Serie B (01-11-2010)“…The authors discuss a linear viscous asymptotic model for water waves and the decay rate of solutions towards the equilibrium…”
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11
Determining Nodes for the Damped Forced Periodic Korteweg-de Vries Equation
Published in Journal of dynamics and differential equations (01-06-2019)“…We show that solutions of the periodic KdV equations u t + γ u + u xxx + u u x = f , are asymptotically determined by their values at three points. That is if…”
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Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
Published in Mathematics and computers in simulation (01-09-2016)“…The water wave theory traditionally assumes the fluid to be perfect, thus neglecting all effects of the viscosity. However, the explanation of several…”
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13
Non‐existence results for an eigenvalue problem involving Lipschitzian non‐linearities with non‐positive primitive
Published in The Bulletin of the London Mathematical Society (01-06-2019)“…Let Ω⊂RN (N⩾2) be a bounded smooth domain. In this paper, we prove that if either ∂Ω has non‐negative mean curvature or Ω is an annulus, then, for each…”
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14
The Dirichlet problem for - Delta [phi] = e super(-[phi]) in an infinite sector. Application to plasma equilibria
Published in Nonlinear analysis (01-06-2015)“…We consider here a nonlinear elliptic equation in an unbounded sectorial domain of the plane. We prove the existence of a minimal solution to this equation and…”
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15
The Dirichlet problem for − Δ φ = e − φ in an infinite sector. Application to plasma equilibria
Published in Nonlinear analysis (01-06-2015)Get full text
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The Dirichlet problem for $-\Delta \varphi= \mathrm{e}^{-\varphi}$ in an infinite sector. Application to plasma equilibria
Published in Nonlinear analysis (2015)“…We consider here a nonlinear elliptic equation in an unbounded sectorial domain of the plane. We prove the existence of a minimal solution to this equation and…”
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17
Numerical study of quintic NLS equation with defects
Published in North-Western European Journal of Mathematics (2023)“…In this work, we numerically investigate how a defect can affect the behavior of traveling explosive solutions of quintic NLS equation in the onedimensional…”
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18
Crank-Nicolson scheme for a logarithmic Schrödinger equation
Published in North-Western European Journal of Mathematics (2022)“…We discuss here a classical Crank-Nicolson numerical scheme to approximate the solutions of a nonlinear equation Schrödinger that reads ut − i∂x (ν(x)∂xu) − iu…”
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19
Global Attractors for the Benjamin-Bona-Mahony Equation with Memory
Published in Indiana University mathematics journal (01-01-2020)“…We consider the nonlinear integrodifferential Benjamin-Bona-Mahony equation u t - u t x x + u x - ∫ 0 ∞ g ( s ) u x x ( t - s ) d s + u u x = f , where the…”
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Finite‐dimensional global attractor for a semi‐discrete fractional nonlinear Schrödinger equation
Published in Mathematical methods in the applied sciences (01-10-2017)“…We consider a semi‐discrete in time Crank–Nicolson scheme to discretize a weakly damped forced nonlinear fractional Schrödinger equation ut−i(−Δ)αu+i|u|2u+γu=f…”
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