Jabin, Pierre-Emmanuel
- Global Existence of Weak Solutions for Compresssible Navier--Stokes Equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor
2015/07/16 by Didier Bresch, Bresch, Didier, Pierre‐Emmanuel Jabin +1 · 4 citations
Engineering · Mathematics · #35D30 #35Q30 #35Q86 #42B37 #54D30 #92B05 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Navier-Stokes equation solutions
- Mean-field limit of non-exchangeable systems
2021/12/31 by Pierre‐Emmanuel Jabin, Jabin, Pierre-Emmanuel, David Poyato +3 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Complex Network Analysis Techniques #FOS: Mathematics #Mathematical Biology Tumor Growth #Probability (math.PR)
- Mean-field limit and quantitative estimates with singular attractive kernels
2020/11/16 by Bresch, Didier, Jabin, Pierre-Emmanuel, Wang, Zhenfu · 4 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces
2015/11/12 by Pierre‐Emmanuel Jabin, Jabin, Pierre-Emmanuel, Zhenfu Wang +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Statistical Mechanics and Entropy
- Strong solutions to stochastic differential equations with rough coefficients
2013/03/11 by Champagnat, Nicolas, Jabin, Pierre-Emmanuel · 2 citations
#35K10 #60H10 #60J60 #FOS: Mathematics #Probability (math.PR)
- Modulated Free Energy and Mean Field Limit
2019/12/06 by Bresch, Didier, Jabin, Pierre-Emmanuel, Wang, Zhenfu · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- A duality method for mean-field limits with singular interactions
2024/02/07 by Bresch, Didier, Duerinckx, Mitia, Jabin, Pierre-Emmanuel · 4 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- From interacting agents to Boltzmann-Gibbs distribution of money
2022/08/11 by Fei Cao, Pierre‐Emmanuel Jabin, Cao, Fei +1 · 3 citations
Economics, Econometrics and Finance · Physics and Astronomy · #34A40 #60J28 #82C31 #91B80 #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Economic theories and models #FOS: Mathematics #Probability (math.PR)
- Differential Equations with singular fields
2010/03/30 by Pierre‐Emmanuel Jabin, Jabin, Pierre-Emmanuel · 1 citation
Mathematics · Engineering · #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems
- Entropy dissipation and propagation of chaos for the uniform reshuffling model
2021/04/03 by Fei Cao, Cao, Fei, Pierre‐Emmanuel Jabin +3 · 3 citations
Physics and Astronomy · Economics, Econometrics and Finance · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Stochastic processes and financial applications
- Global weak solutions to the relativistic BGK equation
2019/02/20 by Calvo, Juan, Jabin, Pierre-Emmanuel, Soler, Juan · 1 citation
#35Q20 #35Q75 #76P05 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules
2024/08/27 by José A. Carrillo, Xuanrui Feng, Carrillo, José Antonio +7 · 3 citations
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Probability (math.PR) #Radiative Heat Transfer Studies
- Collective motion driven by nutrient consumption
2022/08/31 by Jabin, Pierre-Emmanuel, Perthame, Benoît · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Hölder and Sobolev regularity of optimal transportation potentials with rough measures
2023/08/21 by Jabin, Pierre-Emmanuel, Mellet, Antoine · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- The mean-field Limit of sparse networks of integrate and fire neurons
2023/09/07 by Jabin, Pierre-Emmanuel, Zhou, Datong · 1 citation
#Adaptation and Self-Organizing Systems (nlin.AO) #Analysis of PDEs (math.AP) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Neurons and Cognition (q-bio.NC) #Probability (math.PR)
- Dense networks of integrate-and-fire neurons: Spatially-extended mean-field limit of the empirical measure
2024/09/10 by Pierre‐Emmanuel Jabin, Pierre-Emmanuel Jabin, Valentin Schmutz +5 · 1 voice · 1 citation
Neuroscience · Physics and Astronomy · #Functional Brain Connectivity Studies #Neural dynamics and brain function #math.AP #math.PR #q-bio.NC #stochastic dynamics and bifurcation
- Singular flows with time-varying weights
2025/03/04 by Porat, Immanuel Ben, Carrillo, José A., Jabin, Pierre-Emmanuel · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- A kinetic approach to active rod dynamics in confined domains
2019/03/18 by Berlyand, Leonid, Jabin, Pierre-Emmanuel, Potomkin, Mykhailo +1 · 1 citation
#FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Soft Condensed Matter (cond-mat.soft)