Matthieu Bonnivard's Personal Page
PUBLICATIONS
Submitted papers
 A fieldroad 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. SuárezGrau. Preprint (on HAL)
Published or accepted papers

On the instability of travelling wave solutions for the TransportStokes equation.
With Amina Mecherbet.
To appear in Communications in Mathematical Sciences.
Preprint (on Arxiv)

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)

A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions.
With Francisco J. SuárezGrau and Igor Pažanin.
ESAIM: M2AN, 564 (2022).
Preprint (on HAL)

Carreau law for nonNewtonian fluid flow through a thin porous media.
With María Anguiano and Francisco J. SuárezGrau.
The Quarterly Journal of Mechanics and Applied Mathematics, 751 (2022), pp. 127.
Preprint (on HAL)

Numerical approximation of the Steiner problem in dimension 2 and 3.
With Elie Bretin and Antoine Lemenant.
Mathematics of Computation, 89321 (2020), pp. 143.
Preprint (on HAL)

Asymptotic limit of linear parabolic equations with spatiotemporal degenerated potentials.
With Antoine Lemenant and Pablo AlvarezCaudevilla.
ESAIM: Control, Optimisation and Calculus of Variations, 2650 (2020).
Preprint (on HAL)

Homogenization of a largeeddy simulation model for turbulent fluid motion near a rough wall.
With Francisco J. SuárezGrau.
Journal of Mathematical Fluid Mechanics, 204 (2018), 17711813.
Preprint (on HAL)

Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid.
With Francisco J. SuárezGrau and Igor Pažanin.
European Journal of Mechanics / B Fluids, 72 (2018), 501518.
Preprint (on HAL)

Modeling and optimization of hourglassshaped aquaporins.
With Florian Omnès and Yannick Privat.
Mathematical Models and Methods in Applied Sciences, 288 (2018), 15291564.
Preprint (on HAL)

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. 69106.
Preprint (on HAL)

On the influence of wavy riblets on the slip behaviour of viscous fluids.
With Francisco J. SuárezGrau and Giordano Tierra.
Z. Angew. Math. Phys., 6727 (2016).
Preprint (on HAL)

Approximation of length minimization problems among compact connected sets.
With Antoine Lemenant and Filippo Santambrogio.
SIAM Journal on Mathematical Analysis, 472 (2015), pp. 14891529.
Preprint (on HAL)

Computation of the effective slip of rough hydrophobic surfaces via Homogenization.
With AnneLaure Dalibard and David GérardVaret.
Mathematical Models and Methods in Applied Sciences, 2411 (2014), pp. 22592285.
Preprint (on HAL)

Micro shape control, riblets and drag minimization.
With Dorin Bucur.
SIAM Journal on Applied Mathematics, 732 (2013), pp. 723740.
Preprint (on HAL)

The uniform rugosity effect.
With Dorin Bucur.
Journal of Mathematical Fluid Mechanics, 142 (2012), pp 201215.
Preprint (on HAL)

On the stability of selfpropelled bodies with respect to their shape motion.
Mathematical Models and Methods in Applied Sciences, 21 (04), pp. 667691 (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, 564 (2022). Preprint (on HAL)
The Quarterly Journal of Mechanics and Applied Mathematics, 751 (2022), pp. 127. Preprint (on HAL)
Mathematics of Computation, 89321 (2020), pp. 143. Preprint (on HAL)
ESAIM: Control, Optimisation and Calculus of Variations, 2650 (2020). Preprint (on HAL)
Journal of Mathematical Fluid Mechanics, 204 (2018), 17711813. Preprint (on HAL)
European Journal of Mechanics / B Fluids, 72 (2018), 501518. Preprint (on HAL)
Mathematical Models and Methods in Applied Sciences, 288 (2018), 15291564. Preprint (on HAL)
Interfaces and free boundaries, 20 (2018), pp. 69106. Preprint (on HAL)
Z. Angew. Math. Phys., 6727 (2016). Preprint (on HAL)
SIAM Journal on Mathematical Analysis, 472 (2015), pp. 14891529. Preprint (on HAL)
Mathematical Models and Methods in Applied Sciences, 2411 (2014), pp. 22592285. Preprint (on HAL)
SIAM Journal on Applied Mathematics, 732 (2013), pp. 723740. Preprint (on HAL)
Journal of Mathematical Fluid Mechanics, 142 (2012), pp 201215. Preprint (on HAL)
Mathematical Models and Methods in Applied Sciences, 21 (04), pp. 667691 (2011). Preprint (on HAL)
HDR thesis

On the asymptotic analysis and simulation of models from calculus of variations and fluid mechanics.
Available
here.
Available here.
PhD thesis (in French)

Influence des perturbations géométriques de domaines sur les solutions d'équations aux dérivées partielles.
Available
here.
Available here.