Philippe Laurençot
- Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
2008/01/15 by Adrien Blanchet, José A. Carrillo, Blanchet, Adrien +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, Laurençot, Philippe, Christoph Walker +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\n singular kernel
2018/04/03 by Prasanta Kumar Barik, Ankik Kumar Giri, Barik, Prasanta Kumar +3 · 2 citations
Environmental Science · Mathematics · #Analysis of PDEs (math.AP) #Coagulation and Flocculation Studies #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- Marcus-Lushnikov processes, Smoluchowski's and Flory's models
2007/06/14 by Nicolas Fournier, Fournier, Nicolas, Philippe Laurençot +1 · 1 citation
Environmental Science · Mathematics · Physics and Astronomy · #45K05 #60H30 #Coagulation and Flocculation Studies #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Absence of gelation and self-similar behavior for a coagulation-fragmentation equation
2014/07/07 by Philippe Laurençot, Henry van Roessel, Laurencot, Philippe +1 · 1 citation
Mathematics · #Mathematical Biology Tumor Growth #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems
- Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion
2015/10/02 by Razvan Gabriel Iagar, Iagar, Razvan Gabriel, Philippe Laurençot +3 · 1 citation
Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- Global bounded and unbounded solutions to a chemotaxis system with\n indirect signal production
2018/10/16 by Philippe Laurençot, Laurençot, Philippe · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Analysis of PDEs (math.AP) #Cellular Mechanics and Interactions #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth
- 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, Iagar, Razvan Gabriel, Philippe Laurençot +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