Elbar, Charles

1. Degenerate Cahn-Hilliard equation: From nonlocal to local
   2022/08/18 by Charles Elbar, Jakub Skrzeczkowski, Elbar, Charles +1 · 4 citations
   Computer Science · Materials Science · Medicine · #Advanced Mathematical Modeling in Engineering #Solidification and crystal growth phenomena #Mathematical and Theoretical Epidemiology and Ecology Models
2. From nonlocal Euler-Korteweg to local Cahn-Hilliard via the high-friction limit
   2023/05/02 by Elbar, Charles, Gwiazda, Piotr, Skrzeczkowski, Jakub +1 · 2 citations
   #35B25 #35K55 #35Q31 #35Q35 #76D45 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Nonlocal-to-local convergence of the Cahn-Hilliard equation with degenerate mobility and the Flory-Huggins potential
   2024/07/04 by Charles Elbar, Elbar, Charles, Jakub Skrzeczkowski +1 · 2 citations
   Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Solidification and crystal growth phenomena
4. On the inviscid limit connecting Brinkman's and Darcy's models of tissue growth with nonlinear pressure
   2023/06/06 by Elbar, Charles, Skrzeczkowski, Jakub · 1 citation
   #35J60 #35K45 #35K65 #35Q92 #92C10 #Analysis of PDEs (math.AP) #FOS: Mathematics
5. Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states
   2023/05/10 by Elbar, Charles, Perthame, Benoît, Poiatti, Andrea +1 · 1 citation
   #35B40 #35B45 #35G20 #35Q92 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. Rate of Convergence for a Nonlocal-to-local Limit in One Dimension
   2025/05/11 by Carrillo, José A., Elbar, Charles, Fronzoni, Stefano +1 · 3 citations
   #35A15 #35B40 #35Q70 #65M08 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
7. Degenerate Cahn-Hilliard systems: From nonlocal to local
   2023/03/21 by José A. Carrillo, Carrillo, José A., Charles Elbar +3 · 1 citation
   Computer Science · Mathematics · Materials Science · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Solidification and crystal growth phenomena
8. Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects
   2023/05/06 by Elbar, Charles, Poulain, Alexandre · 1 citation
   #35B40 #35B45 #35G20 #35Q35 #35Q92 #65M08 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)