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1. A phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
   2024/09/23 by Cavalleri, Giulia · 1 citation
   #35A01 #35K35 #35K57 #35K92 #35Q74 #35Q92 #74A45 #Analysis of PDEs (math.AP) #FOS: Mathematics
2. Separation property and asymptotic behavior for a transmission problem of the bulk-surface coupled Cahn-Hilliard system with singular potentials and its Robin approximation
   2024/07/02 by Lv, Maoyin, Wu, Hao · 1 citation
   #35B40 #35B65 #35K35 #35K61 #35Q92 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. On the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior
   2024/05/31 by Maoyin Lv, Lv, Maoyin, Hao Wu +1 · 1 citation
   Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #35B40 #35B65 #35K35 #35K61 #35Q92 #Analysis of PDEs (math.AP) #FOS: Mathematics #Solidification and crystal growth phenomena #Theoretical and Computational Physics #nanoparticles nucleation surface interactions
4. Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
   2024/05/04 by Chen, Wenbin, Jing, Jianyu, Liu, Qianqian +2 · 1 citation
   #35K35 #35K55 #49J40 #65M06 #65M12 #FOS: Mathematics #Numerical Analysis (math.NA)
5. Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions
   2023/12/23 by Colli, Pierluigi, Knopf, Patrik, Schimperna, Giulio +1 · 4 citations
   #35B65 #35D30 #35K35 #35K86 #76D03 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
6. On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth
   2022/02/22 by Rocca, Elisabetta, Schimperna, Giulio, Signori, Andrea · 2 citations
   #35D30 #35K35 #35K86 #35Q92 #92C17 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics
7. Parabolic boundary-value problems and generalized Sobolev spaces
   2021/09/08 by Los, V. M., Mikhailets, V. A., Murach, A. A. · 1 citation
   #35K35 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics
8. Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms
   2019/09/05 by Ebenbeck, Matthias, Lam, Kei Fong · 2 citations
   #35D30 #35J61 #35K35 #35Q92 #76D07 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. Parabolic problems in generalized Sobolev spaces
   2019/07/09 by Los, Valerii, Mikhailets, Vladimir, Murach, Aleksandr · 1 citation
   #35K35 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. On a Cahn-Hilliard-Brinkman model for tumour growth and its singular limits
    2018/11/16 by Matthias Ebenbeck, Harald Garcke, Ebenbeck, Matthias +1 · 1 citation
    Computer Science · Mathematics · #35D30 #35K35 #35Q92 #76D07 #92C50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Nonlinear Partial Differential Equations
11. Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with\n chemotaxis
    2018/07/02 by Matthias Ebenbeck, Ebenbeck, Matthias, Harald Garcke +1 · 6 citations
    Computer Science · Materials Science · #35D30 #35K35 #35Q92 #76D07 #92C50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Solidification and crystal growth phenomena
12. Convergence Analysis and Error Estimates for a Second Order Accurate Finite Element Method for the Cahn-Hilliard-Navier-Stokes System
    2016/06/08 by Diegel, Amanda E., Wang, Cheng, Wang, Xiaoming +1 · 2 citations
    #35K35 #35K55 #65M12 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)
13. Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth
    2015/03/03 by Colli, Pierluigi, Gilardi, Gianni, Rocca, Elisabetta +1 · 3 citations
    #35B20 #35K35 #35K57 #35Q92 #35R35 #65N15 #78M35 #92C17 #Analysis of PDEs (math.AP) #FOS: Mathematics
14. On a Cahn-Hilliard type phase field system related to tumor growth
    2014/01/23 by Colli, Pierluigi, Gilardi, Gianni, Hilhorst, Danielle · 2 citations
    #35B20 #35K20 #35K35 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
15. A Cahn-Hilliard equation with singular diffusion
    2012/06/25 by Schimperna, Giulio, Pawlow, Irena · 3 citations
    #35A01 #35K35 #35K67 #82D60 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. On a class of Cahn-Hilliard models with nonlinear diffusion
    2011/06/08 by Giulio Schimperna, Irena Pawłow, Schimperna, Giulio +1 · 2 citations
    Computer Science · Materials Science · Mathematics · #35A01 #35K35 #35K55 #47H05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Solidification and crystal growth phenomena
17. Existence of solutions and separation from singularities for a class of\n fourth order degenerate parabolic equations
    2010/09/16 by Giulio Schimperna, Sergey Zelik, Schimperna, Giulio +1 · 1 citation
    Computer Science · Engineering · #35K35 #35K65 #37L30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Stability and Controllability of Differential Equations
18. 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