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)
- Effective models for generalized Newtonian fluids through a thin porous medium following the Carreau law. With María Anguiano and Francisco J. Suárez-Grau. Preprint (on HAL)
Published or accepted papers
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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 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.