Pierre-Emmanuel Jabin

Research output

Research output per year 2000 2000 2003 2004 2010 2011 2015 2017 2018 2019 2021 2023 2024

• 78 Article
• 3 Conference contribution
• 2 Chapter
• 1 Book
• 1 More
  • 1 Comment/debate

Research output per year

Research output per year

Search results

• 2024

  A novel multi-scale loss function for classification problems in machine learning

  Berlyand, L., Creese, R. & Jabin, P. E., Feb 1 2024, In: Journal of Computational Physics. 498, 112679.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  2 Scopus citations

• DISCRETIZING ADVECTION EQUATIONS WITH ROUGH VELOCITY FIELDS ON NON-CARTESIAN GRIDS

  Jabin, P. E. & Zhou, D., 2024, In: Quarterly of Applied Mathematics. 82, 2, p. 229-303 75 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Mean-field derivation of Landau-like equations

  Carrillo, J. A., Guo, S. & Jabin, P. E., Dec 2024, In: Applied Mathematics Letters. 158, 109195.

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2023

  Collective motion driven by nutrient consumption

  Jabin, P. E. & Perthame, B., 2023, In: Asymptotic Analysis. 133, 4, p. 483-497 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  1 Scopus citations

• Entropy dissipation and propagation of chaos for the uniform reshuffling model

  Cao, F., Jabin, P. E. & Motsch, S., Apr 1 2023, In: Mathematical Models and Methods in Applied Sciences. 33, 4, p. 829-875 47 p.

  Research output: Contribution to journal › Article › peer-review
  3 Scopus citations

• Global Existence of Weak Solutions for Compresssible Navier - Stokes - Fourier Equations with the Truncated Virial Pressure Law

  Bresch, D., Jabin, P. E. & Wang, F., Jan 1 2023, In: Communications in Applied and Industrial Mathematics. 14, 1, p. 17-49 33 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  1 Scopus citations

• Mathematics of deep learning: An introduction

  Berlyand, L. & Jabin, P. E., Apr 26 2023, de Gruyter. 126 p.

  Research output: Book/Report › Book

  • Learning 100%
  • Deep learning 98%
  • Deep neural networks 53%
  • Neural Networks 51%
  • Back-propagation Algorithm 29%
  2 Scopus citations

• MEAN FIELD LIMIT AND QUANTITATIVE ESTIMATES WITH SINGULAR ATTRACTIVE KERNELS

  Bresch, D., Jabin, P. E. & Wang, Z., 2023, In: Duke Mathematical Journal. 172, 13, p. 2591-2641 51 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  3 Scopus citations

• Selection-Mutation dynamics with spatial dependence

  Jabin, P. E. & Schram, R. S., Aug 2023, In: Journal des Mathematiques Pures et Appliquees. 176, p. 1-17 17 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2022

  COMMUTATOR METHOD FOR AVERAGING LEMMAS

  Jabin, P. E., Lin, H. Y. & Tadmor, E., 2022, In: Analysis and PDE. 15, 6, p. 1561-1584 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Averaging Lemmas 100%
  • Electric commutators 87%
  • Commutator 58%
  • Measure-valued Solutions 42%
  • Fourier analysis 39%
  1 Scopus citations

• Tracking the Adaptation and Compensation Processes of Patients’ Brain Arterial Network to an Evolving Glioblastoma

  Zhu, J., Teolis, S., Biassou, N., Tabb, A., Jabin, P. E. & Lavi, O., Jan 2022, In: IEEE Transactions on Pattern Analysis and Machine Intelligence. 44, 1, p. 488-501 14 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Brain 100%
  • Glioblastoma 90%
  • Compensation and Redress 69%
  • Progression 53%
  • Spatio-temporal Patterns 32%
  8 Scopus citations
• 2021

  Compressible Navier-Stokes equations with heterogeneous pressure laws

  Bresch, D., Jabin, P. E. & Wang, F., Jun 2021, In: Nonlinearity. 34, 6, p. 4115-4162 48 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Compressible Navier-Stokes Equations 100%
  • Navier Stokes equations 85%
  • Navier-Stokes equation 84%
  • Global Weak Solutions 34%
  • Heat 27%
  3 Scopus citations

• Local regularity result for an optimal transportation problem with rough measures in the plane

  Jabin, P. E., Mellet, A. & Molina-Fructuoso, M., Jul 15 2021, In: Journal of Functional Analysis. 281, 2, 109041.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Optimal Transportation 100%
  • Transportation Problem 90%
  • Rough 71%
  • Convex function 20%
  • Monge-Kantorovich Problem 18%

• Memory-driven movement model for periodic migrations

  Lin, H. Y., Fagan, W. F. & Jabin, P. E., Jan 7 2021, In: Journal of Theoretical Biology. 508, 110486.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Migration 100%
  • Movement 89%
  • Memory 65%
  • Eikonal Equation 60%
  • Memory Term 58%
  7 Scopus citations

• Stability for the training of deep neural networks and other classifiers

  Berlyand, L., Jabin, P. E. & Safsten, C. A., Oct 1 2021, In: Mathematical Models and Methods in Applied Sciences. 31, 11, p. 2345-2390 46 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Classifier 100%
  • Training 94%
  • Deep neural networks 86%
  • Neural Networks 83%
  • Classifiers 62%
  3 Scopus citations
• 2020

  A kinetic approach to active rods dynamics in confined domains

  Berlyand, L., Jabin, P. E., Potomkin, M. & Ratajczyk, E., 2020, In: Multiscale Modeling and Simulation. 18, 1, p. 1-20 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Active Particles 100%
  • Inertia 81%
  • Kinetics 80%
  • Rod Like Crystal 79%
  • rods 69%
  3 Scopus citations

• Analysis of Hyperspectral Data by Means of Transport Models and Machine Learning

  Czaja, W., Dong, D., Jabin, P. E. & Njeunje, F. O. N., Sep 26 2020, 2020 IEEE International Geoscience and Remote Sensing Symposium, IGARSS 2020 - Proceedings. Institute of Electrical and Electronics Engineers Inc., p. 3680-3683 4 p. 9323215. (International Geoscience and Remote Sensing Symposium (IGARSS)).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • machine learning 100%
  • imagery 77%
  • Feature extraction 76%
  • Machine learning 73%
  • Physics 43%
  1 Scopus citations

• Global weak solutions to the relativistic BGK equation

  Calvo, J., Jabin, P. E. & Soler, J., Mar 3 2020, In: Communications in Partial Differential Equations. 45, 3, p. 191-229 39 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Boltzmann equation 100%
  • BGK Model 99%
  • Global Weak Solutions 78%
  • Existence of Weak Solutions 73%
  • Boltzmann Equation 72%
  6 Scopus citations
• 2019

  Continuum Approximations to Systems of Correlated Interacting Particles

  Berlyand, L., Creese, R., Jabin, P. E. & Potomkin, M., Feb 28 2019, In: Journal of Statistical Physics. 174, 4, p. 808-829 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Continuum 100%
  • BBGKY Hierarchy 90%
  • Superposition 85%
  • continuums 81%
  • Truncation 81%
  3 Scopus citations

• Convergence of Numerical Approximations to Non-linear Continuity Equations with Rough Force Fields

  Ben Belgacem, F. & Jabin, P. E., Nov 1 2019, In: Archive for Rational Mechanics and Analysis. 234, 2, p. 509-547 39 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Electric commutators 100%
  • Force Field 88%
  • Continuity Equation 85%
  • Nonlinear equations 74%
  • Rough 68%
  3 Scopus citations

• On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model

  Bresch, D., Jabin, P. E. & Wang, Z., Sep 2019, In: Comptes Rendus Mathematique. 357, 9, p. 708-720 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Mean-field Limit 100%
  • Singular Kernel 91%
  • Free Energy 75%
  • Estimate 32%
  • Cancel 31%
  25 Scopus citations

• Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model

  Cai, W., Jabin, P. E. & Liu, H., Oct 1 2019, In: Mathematical Models and Methods in Applied Sciences. 29, 11, p. 2063-2087 25 p.

  Research output: Contribution to journal › Article › peer-review

  • Asymptotic Convergence 100%
  • Mutation 84%
  • Convergence Rate 71%
  • Exponential Convergence 47%
  • Strictly positive 45%
  3 Scopus citations
• 2018

  Fractional spaces and conservation laws

  Castelli, P., Jabin, P. E. & Junca, S., 2018, Theory, Numerics and Applications of Hyperbolic Problems I - Aachen, Germany, 2016. Westdickenberg, M. & Klingenberg, C. (eds.). Springer New York LLC, p. 285-293 9 p. (Springer Proceedings in Mathematics and Statistics; vol. 236).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Smoothing Effect 100%
  • Conservation Laws 71%
  • Fractional 54%
  • Scalar Conservation Laws 30%
  • Sobolev Spaces 22%
  4 Scopus citations

• Global existence of weak solutions for compressible Navier-Stokese quations: Thermodynamically unstable pressure and anisotropic viscous stress tensor

  Bresch, D. & Jabin, P. E., 2018, In: Annals of Mathematics. 188, 2, p. 577-684 108 p.

  Research output: Contribution to journal › Article › peer-review

  • Global Existence 100%
  • Weak Solution 88%
  • Stress Tensor 60%
  • Anisotropy 56%
  • Existence of Weak Solutions 56%
  77 Scopus citations

• On the convergence of formally diverging neural net-based classifiers

  Berlyand, L. & Jabin, P. E., Apr 2018, In: Comptes Rendus Mathematique. 356, 4, p. 395-405 11 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Neural Nets 100%
  • Gradient Descent 90%
  • Classifier 81%
  • Artificial Neural Network 46%
  • Descent Algorithm 46%
  3 Scopus citations

• Quantitative estimates for advective equation with degenerate anelastic constraint

  Bresch, D. & Jabín, P. E., 2018, Invited Lectures. Sirakov, B., de Souza, P. N. & Viana, M. (eds.). World Scientific Publishing Co. Pte Ltd, p. 2185-2213 29 p. (Proceedings of the International Congress of Mathematicians, ICM 2018; vol. 3).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Renormalized Solutions 100%
  • Vacuum 76%
  • Estimate 50%
  • Topography 48%
  • Navier-Stokes System 41%
  1 Scopus citations

• Quantitative estimates of propagation of chaos for stochastic systems with W^{- 1 , ∞} kernels

  Jabin, P. E. & Wang, Z., Oct 1 2018, In: Inventiones Mathematicae. 214, 1, p. 523-591 69 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Propagation of Chaos 100%
  • Stochastic Systems 66%
  • Vortex Dynamics 52%
  • kernel 46%
  • Incompressible Navier-Stokes 46%
  92 Scopus citations

• Quantitative Regularity Estimates for Compressible Transport Equations

  Bresch, D. & Jabin, P. E., 2018, Necas Center Series. Birkhauser, p. 77-113 37 p. (Necas Center Series; vol. Part F1672).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter
  3 Scopus citations

• Strong solutions to stochastic differential equations with rough coefficients

  Champagnat, N. & Jabin, P. E., May 1 2018, In: Annals of Probability. 46, 3, p. 1498-1541 44 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Stochastic Differential Equations 100%
  • Strong Solution 73%
  • Rough 73%
  • Coefficients 55%
  • Kinetics 39%
  13 Scopus citations
• 2017

  Cellulose biodegradation models; An example of cooperative interactions in structured populations

  Jabin, P. E., Miroshnikov, A. & Young, R., Nov 1 2017, In: ESAIM: Mathematical Modelling and Numerical Analysis. 51, 6, p. 2289-2318 30 p.

  Research output: Contribution to journal › Article › peer-review

  • Biodegradation 100%
  • Cellulose 96%
  • Interaction 43%
  • Microorganisms 26%
  • Model 19%
  2 Scopus citations

• Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations

  Bresch, D. & Jabin, P. E., 2017, In: Springer INdAM Series. 17, p. 33-54 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Global Weak Solutions 100%
  • Compressible Navier-Stokes Equations 96%
  • Compactness 71%
  • Stress Tensor 66%
  • Existence of Weak Solutions 62%
  18 Scopus citations

• Hydrodynamic limit of granular gases to pressureless euler in dimension 1

  Jabin, P. E. & Rey, T., 2017, In: Quarterly of Applied Mathematics. 75, 1, p. 155-179 25 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Granular Gases 100%
  • Hydrodynamic Limit 76%
  • Hydrodynamics 47%
  • Knudsen number 39%
  • Euler System 34%
  13 Scopus citations

• Mean field limit for stochastic particle systems

  Jabin, P. E. & Wang, Z., 2017, Modeling and Simulation in Science, Engineering and Technology. 9783319499949 ed. Springer Basel, p. 379-402 24 p. (Modeling and Simulation in Science, Engineering and Technology; no. 9783319499949).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • Mean-field Limit 100%
  • Particle System 84%
  • Stochastic Systems 68%
  • Interaction 50%
  • Mean Field Equation 49%
  79 Scopus citations

• On a non-local selection-mutation model with a gradient flow structure

  Jabin, P. E. & Liu, H., Oct 17 2017, In: Nonlinearity. 30, 11, p. 4220-4238 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Gradient Flow 96%
  • mutations 95%
  • Exponential Convergence 92%
  • Flow structure 89%
  • Strictly positive 87%
  4 Scopus citations
• 2016

  Complexity reduction in many particle systems with random initial data

  Berlyand, L., Jabin, P. E. & Potomkin, M., 2016, In: SIAM-ASA Journal on Uncertainty Quantification. 4, 1, p. 446-474 29 p.

  Research output: Contribution to journal › Article › peer-review

  • Many-particle System 100%
  • Particles 58%
  • Nonlinear systems 54%
  • Computational complexity 52%
  • BBGKY Hierarchy 51%
  4 Scopus citations

• Critical non-Sobolev regularity for continuity equations with rough velocity fields

  Jabin, P. E., Mar 5 2016, In: Journal of Differential Equations. 260, 5, p. 4739-4757 19 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Sobolev spaces 100%
  • Continuity Equation 69%
  • Velocity Field 58%
  • Rough 55%
  • Sobolev Spaces 49%
  25 Scopus citations

• Mean field limit and propagation of chaos for Vlasov systems with bounded forces

  Jabin, P. E. & Wang, Z., Dec 15 2016, In: Journal of Functional Analysis. 271, 12, p. 3588-3627 40 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Propagation of Chaos 100%
  • Mean-field Limit 97%
  • Liouville Equation 29%
  • Relative Entropy 26%
  • Rough 22%
  53 Scopus citations
• 2015

  A continuous model for ratings

  Jabin, P. E. & Junca, S., 2015, In: SIAM Journal on Applied Mathematics. 75, 2, p. 420-442 23 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Local Interaction 100%
  • Exponential Convergence 80%
  • Model 70%
  • Kinetics 68%
  • Evaluation 52%
  18 Scopus citations

• Convergence rate for the method Of moments with linear closure relations

  Bourgault, Y., Broizat, D. & Jabin, P. E., 2015, In: Kinetic and Related Models. 8, 1, p. 1-27 27 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • BGK Model 100%
  • Moment Method 83%
  • Method of Moments 75%
  • Kinetic Equation 75%
  • Stability Estimates 73%
  3 Scopus citations

• DiPerna–Lions Flow for Relativistic Particles in an Electromagnetic Field

  Jabin, P. E. & Masmoudi, N., Sep 17 2015, In: Archive for Rational Mechanics and Analysis. 217, 3, p. 1029-1067 39 p.

  Research output: Contribution to journal › Article › peer-review

  • Lorentz force 100%
  • Maxwell System 93%
  • Force Field 92%
  • Electromagnetic Fields 83%
  • Electric Field 81%
  7 Scopus citations

• Particle approximation of Vlasov equations with singular forces: Propagation of Chaos

  Hauray, M. & Jabin, P. E., Aug 1 2015, In: Annales Scientifiques de l'Ecole Normale Superieure. 48, 4, p. 891-940 50 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Propagation of Chaos 100%
  • Vlasov Equation 93%
  • Interaction 49%
  • Mean-field Approximation 47%
  • Singularity 47%
  71 Scopus citations

• Time-asymptotic convergence rates towards the discrete evolutionary stable distribution

  Cai, W., Jabin, P. E. & Liu, H., Jul 30 2015, In: Mathematical Models and Methods in Applied Sciences. 25, 8, p. 1589-1616 28 p.

  Research output: Contribution to journal › Article › peer-review

  • Stable Distribution 100%
  • Asymptotic Convergence 96%
  • Convergence Rate 68%
  • Discrete Dynamics 36%
  • Exponential Convergence 30%
  7 Scopus citations
• 2014

  Adaptation in a stochastic multi-resources chemostat model

  Champagnat, N., Jabin, P. E. & Méléard, S., Jun 2014, In: Journal des Mathematiques Pures et Appliquees. 101, 6, p. 755-788 34 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Chemostats 100%
  • Adaptive Dynamics 89%
  • Chemostat Model 83%
  • Resources 55%
  • Mutation 29%
  31 Scopus citations

• A review of the mean field limits for vlasov equations

  Jabin, P. E., 2014, In: Kinetic and Related Models. 7, 4, p. 661-711 51 p.

  Research output: Contribution to journal › Article › peer-review

  • Vlasov equation 100%
  • Propagation of Chaos 77%
  • Mean-field Limit 74%
  • Vlasov Equation 72%
  • Chaos theory 53%
  86 Scopus citations

• Clustering and asymptotic behavior in opinion formation

  Jabin, P. E. & Motsch, S., Dec 1 2014, In: Journal of Differential Equations. 257, 11, p. 4165-4187 23 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Opinion Formation 100%
  • Clustering 57%
  • Asymptotic Behavior 43%
  • Interaction 21%
  • Model 19%
  71 Scopus citations
• 2013

  Compactness for nonlinear continuity equations

  Belgacem, F. B. & Jabin, P. E., Jan 1 2013, In: Journal of Functional Analysis. 264, 1, p. 139-168 30 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Continuity Equation 100%
  • Transport Equation 84%
  • Compactness 68%
  • Nonlinear Equations 65%
  • Scalar Conservation Laws 48%
  19 Scopus citations

• Local Existence of Analytical Solutions to an Incompressible Lagrangian Stochastic Model in a Periodic Domain

  Bossy, M., Fontbona, J., Jabin, P. E. & Jabir, J. F., 2013, In: Communications in Partial Differential Equations. 38, 7, p. 1141-1182 42 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Fokker Planck equation 100%
  • Stochastic models 72%
  • Local Existence 72%
  • Fokker-Planck Equation 71%
  • Stochastic Model 62%
  6 Scopus citations

• Mathematical models for morphogenesis: Linear or nonlinear diffusion. Comment on "Morphogenetic action through flux-limited spreading" by Verbeni, Sánchez, Mollica, Siegl-Cachedenier, Carleton, Guerrero, Ruiz i Altaba, Soler.

  Jabin, P. E., Dec 2013, In: Physics of Life Reviews. 10, 4, p. 485-486 2 p.

  Research output: Contribution to journal › Comment/debate › peer-review
  2 Scopus citations
• 2012

  Small populations corrections for selection-mutation models

  Jabin, P. E., 2012, In: Networks and Heterogeneous Media. 7, 4, p. 805-836 32 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Mutation 100%
  • Concentration Phenomena 71%
  • Paul Adrien Maurice Dirac 49%
  • Model 32%
  5 Scopus citations
• 2011

  Large time asymptotics for a modified coagulation model

  Calvo, J. & Jabin, P. E., Mar 15 2011, In: Journal of Differential Equations. 250, 6, p. 2807-2837 31 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Particle interactions 100%
  • Coagulation 95%
  • Large Time Asymptotics 94%
  • Molecules 69%
  • Model 23%
  3 Scopus citations