Laurençot, Philippe
- Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
2008/01/15 by Adrien Blanchet, Blanchet, Adrien, José A. Carrillo +3 · 4 citations
Mathematics · Economics, Econometrics and Finance · #Mathematical Biology Tumor Growth #Stochastic processes and financial applications #Markov Chains and Monte Carlo Methods
- A nonlocal Gray-Scott model: well-posedness and diffusive limit
2023/07/20 by Philippe Laurençot, Christoph Walker, Laurençot, Philippe +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
- Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel
2018/04/03 by Barik, Prasanta Kumar, Giri, Ankik Kumar, Laurençot, Philippe · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- A phase-field approximation of the Willmore flow with volume constraint
2010/04/02 by Colli, Pierluigi, Laurençot, Philippe · 2 citations
#35K35 #35K55 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics
2008/01/18 by Carrillo, José A., Laurençot, Philippe, Rosado, Jesús · 1 citation
#35B40 #35K15 #37B25 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Global bounded and unbounded solutions to a chemotaxis system with indirect signal production
2018/10/16 by Laurençot, Philippe · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Delayed Blow-Up for Chemotaxis Models with Local Sensing
2020/05/06 by Burger, Martin, Laurençot, Philippe, Trescases, Ariane · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
2022/02/21 by Desvillettes, Laurent, Laurençot, Philippe, Trescases, Ariane +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems
2022/07/01 by Laurençot, Philippe, Matioc, Bogdan-Vasile · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility
2023/03/09 by Jiang, Jie, Laurençot, Philippe · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Long term spatial homogeneity for a chemotaxis model with local sensing and consumption
2023/03/27 by Laurençot, Philippe · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Large time behavior for a quasilinear diffusion equation with critical gradient absorption
2015/03/26 by Iagar, Razvan Gabriel, Laurençot, Philippe · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Finite time extinction for a diffusion equation with spatially inhomogeneous strong absorption
2022/06/14 by Razvan Gabriel Iagar, Philippe Laurençot, Iagar, Razvan Gabriel +1 · 1 citation
Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Partial Differential Equations
- Self-similar shrinking of supports and non-extinction for a nonlinear\n diffusion equation with spatially inhomogeneous strong absorption
2022/04/20 by Razvan Gabriel Iagar, Philippe Laurençot, Iagar, Razvan Gabriel +3 · 1 citation
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations