Matthieu Bonnivard's Personal Page
PUBLICATIONS
Submitted papers
- A field-road system with a rectifiable set. With Romain Ducasse, Antoine Lemenant and Alessandro Zilio. Preprint (on HAL)
Published or accepted papers
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Effective models for generalized Newtonian fluids through a thin porous medium following the Carreau law.
With María Anguiano and Francisco J. Suárez-Grau.
To appear in ZAMM - Journal of Applied Mathematics and Mechanics.
Preprint (on HAL)
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On the instability of travelling wave solutions for the Transport-Stokes equation.
With Amina Mecherbet.
To appear in Communications in Mathematical Sciences.
Preprint (on Arxiv)
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From adherence to slip in nanofluidics: a mathematical justification based on a drop of viscosity. The scalar case.
With Julien Olivier.
Zeitschrift für angewandte Mathematik und Physik 74 (3), 95 (2023)
Preprint (on HAL)
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A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions.
With Francisco J. Suárez-Grau and Igor Paanin.
ESAIM: M2AN, 56-4 (2022).
Preprint (on HAL)
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Carreau law for non-Newtonian fluid flow through a thin porous media.
With María Anguiano and Francisco J. Suárez-Grau.
The Quarterly Journal of Mechanics and Applied Mathematics, 75-1 (2022), pp. 1-27.
Preprint (on HAL)
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Numerical approximation of the Steiner problem in dimension 2 and 3.
With Elie Bretin and Antoine Lemenant.
Mathematics of Computation, 89-321 (2020), pp. 1-43.
Preprint (on HAL)
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Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials.
With Antoine Lemenant and Pablo Alvarez-Caudevilla.
ESAIM: Control, Optimisation and Calculus of Variations, 26-50 (2020).
Preprint (on HAL)
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Homogenization of a large-eddy simulation model for turbulent fluid motion near a rough wall.
With Francisco J. Suárez-Grau.
Journal of Mathematical Fluid Mechanics, 20-4 (2018), 1771-1813.
Preprint (on HAL)
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Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid.
With Francisco J. Suárez-Grau and Igor Paanin.
European Journal of Mechanics / B Fluids, 72 (2018), 501-518.
Preprint (on HAL)
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Modeling and optimization of hourglass-shaped aquaporins.
With Florian Omnès and Yannick Privat.
Mathematical Models and Methods in Applied Sciences, 28-8 (2018), 1529-1564.
Preprint (on HAL)
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On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers.
With Antoine Lemenant and Vincent Millot.
Interfaces and free boundaries, 20 (2018), pp. 69-106.
Preprint (on HAL)
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On the influence of wavy riblets on the slip behaviour of viscous fluids.
With Francisco J. Suárez-Grau and Giordano Tierra.
Z. Angew. Math. Phys., 67-27 (2016).
Preprint (on HAL)
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Approximation of length minimization problems among compact connected sets.
With Antoine Lemenant and Filippo Santambrogio.
SIAM Journal on Mathematical Analysis, 47-2 (2015), pp. 1489-1529.
Preprint (on HAL)
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Computation of the effective slip of rough hydrophobic surfaces via Homogenization.
With Anne-Laure Dalibard and David Gérard-Varet.
Mathematical Models and Methods in Applied Sciences, 24-11 (2014), pp. 2259-2285.
Preprint (on HAL)
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Micro shape control, riblets and drag minimization.
With Dorin Bucur.
SIAM Journal on Applied Mathematics, 73-2 (2013), pp. 723-740.
Preprint (on HAL)
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The uniform rugosity effect.
With Dorin Bucur.
Journal of Mathematical Fluid Mechanics, 14-2 (2012), pp 201-215.
Preprint (on HAL)
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On the stability of self-propelled bodies with respect to their shape motion.
Mathematical Models and Methods in Applied Sciences, 21 (04), pp. 667-691 (2011).
Preprint (on HAL)
To appear in ZAMM - Journal of Applied Mathematics and Mechanics. Preprint (on HAL)
To appear in Communications in Mathematical Sciences. Preprint (on Arxiv)
Zeitschrift für angewandte Mathematik und Physik 74 (3), 95 (2023) Preprint (on HAL)
ESAIM: M2AN, 56-4 (2022). Preprint (on HAL)
The Quarterly Journal of Mechanics and Applied Mathematics, 75-1 (2022), pp. 1-27. Preprint (on HAL)
Mathematics of Computation, 89-321 (2020), pp. 1-43. Preprint (on HAL)
ESAIM: Control, Optimisation and Calculus of Variations, 26-50 (2020). Preprint (on HAL)
Journal of Mathematical Fluid Mechanics, 20-4 (2018), 1771-1813. Preprint (on HAL)
European Journal of Mechanics / B Fluids, 72 (2018), 501-518. Preprint (on HAL)
Mathematical Models and Methods in Applied Sciences, 28-8 (2018), 1529-1564. Preprint (on HAL)
Interfaces and free boundaries, 20 (2018), pp. 69-106. Preprint (on HAL)
Z. Angew. Math. Phys., 67-27 (2016). Preprint (on HAL)
SIAM Journal on Mathematical Analysis, 47-2 (2015), pp. 1489-1529. Preprint (on HAL)
Mathematical Models and Methods in Applied Sciences, 24-11 (2014), pp. 2259-2285. Preprint (on HAL)
SIAM Journal on Applied Mathematics, 73-2 (2013), pp. 723-740. Preprint (on HAL)
Journal of Mathematical Fluid Mechanics, 14-2 (2012), pp 201-215. Preprint (on HAL)
Mathematical Models and Methods in Applied Sciences, 21 (04), pp. 667-691 (2011). Preprint (on HAL)
HDR thesis
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On the asymptotic analysis and simulation of models from calculus of variations and fluid mechanics.
Available
here.
Available here.
PhD thesis (in French)
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Influence des perturbations géométriques de domaines sur les solutions d'équations aux dérivées partielles.
Available
here.
Available here.