Gal, Ciprian G.; Giorgini, Andrea; Grasselli, Maurizio; Poiatti, Andrea Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy. (English. French summary) Zbl 1527.35276 J. Math. Pures Appl. (9) 178, 46-109 (2023). MSC: 35Q35 76T06 76D05 76D07 35B40 35D35 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{C. G. Gal} et al., J. Math. Pures Appl. (9) 178, 46--109 (2023; Zbl 1527.35276) Full Text: DOI arXiv
Gal, Ciprian G.; Giorgini, Andrea; Grasselli, Maurizio The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases. (English) Zbl 1514.35039 Discrete Contin. Dyn. Syst. 43, No. 6, 2270-2304 (2023). MSC: 35B36 35B65 35K35 35K58 82C24 PDFBibTeX XMLCite \textit{C. G. Gal} et al., Discrete Contin. Dyn. Syst. 43, No. 6, 2270--2304 (2023; Zbl 1514.35039) Full Text: DOI
Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio Regularity results for the nonlocal Cahn-Hilliard equation with singular potential and degenerate mobility. (English) Zbl 1462.35077 J. Differ. Equations 287, 295-328 (2021). MSC: 35B40 35B41 35B65 35K35 35Q82 35R09 PDFBibTeX XMLCite \textit{S. Frigeri} et al., J. Differ. Equations 287, 295--328 (2021; Zbl 1462.35077) Full Text: DOI
Frigeri, Sergio On a nonlocal Cahn-Hilliard/Navier-Stokes system with degenerate mobility and singular potential for incompressible fluids with different densities. (English) Zbl 1464.35179 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 647-687 (2021). MSC: 35Q30 35Q35 37L30 45K05 76D03 76T06 76D05 35D30 35B65 35B41 PDFBibTeX XMLCite \textit{S. Frigeri}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 647--687 (2021; Zbl 1464.35179) Full Text: DOI
Knopf, Patrik; Signori, Andrea On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and boundary penalization. (English) Zbl 1465.35286 J. Differ. Equations 280, 236-291 (2021). Reviewer: Joseph Shomberg (Providence) MSC: 35K61 35A01 35A02 35A15 35B40 35B41 45K05 47H05 47J35 80A22 35K35 35K58 PDFBibTeX XMLCite \textit{P. Knopf} and \textit{A. Signori}, J. Differ. Equations 280, 236--291 (2021; Zbl 1465.35286) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Nonlocal phase field models of viscous Cahn-Hilliard type. (English) Zbl 1448.35285 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 71-100 (2019). MSC: 35K35 35K59 35Q93 PDFBibTeX XMLCite \textit{P. Colli} et al., in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 71--100 (2019; Zbl 1448.35285) Full Text: DOI
Frigeri, S.; Gal, C. G.; Grasselli, M.; Sprekels, J. Two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with variable viscosity, degenerate mobility and singular potential. (English) Zbl 1408.35149 Nonlinearity 32, No. 2, 678-727 (2019). MSC: 35Q35 37L30 45K05 76D03 76T99 35D35 35B65 35B41 PDFBibTeX XMLCite \textit{S. Frigeri} et al., Nonlinearity 32, No. 2, 678--727 (2019; Zbl 1408.35149) Full Text: DOI
Iuorio, Annalisa; Melchionna, Stefano Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction. (English) Zbl 1396.37078 Discrete Contin. Dyn. Syst. 38, No. 8, 3765-3788 (2018). MSC: 37L30 45K05 35B40 82C26 35B41 PDFBibTeX XMLCite \textit{A. Iuorio} and \textit{S. Melchionna}, Discrete Contin. Dyn. Syst. 38, No. 8, 3765--3788 (2018; Zbl 1396.37078) Full Text: DOI arXiv
Gal, Ciprian G. Doubly nonlocal Cahn-Hilliard equations. (English) Zbl 1387.35595 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 2, 357-392 (2018). MSC: 35R09 37L30 82C24 PDFBibTeX XMLCite \textit{C. G. Gal}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 2, 357--392 (2018; Zbl 1387.35595) Full Text: DOI
Gal, Ciprian G. Non-local Cahn-Hilliard equations with fractional dynamic boundary conditions. (English) Zbl 1382.82035 Eur. J. Appl. Math. 28, No. 5, 736-788 (2017). MSC: 82C26 35K35 35R11 82C24 35Q74 PDFBibTeX XMLCite \textit{C. G. Gal}, Eur. J. Appl. Math. 28, No. 5, 736--788 (2017; Zbl 1382.82035) Full Text: DOI
Gal, Ciprian G. On the strong-to-strong interaction case for doubly nonlocal Cahn-Hilliard equations. (English) Zbl 1353.35298 Discrete Contin. Dyn. Syst. 37, No. 1, 131-167 (2017). MSC: 35R09 37L30 82C24 PDFBibTeX XMLCite \textit{C. G. Gal}, Discrete Contin. Dyn. Syst. 37, No. 1, 131--167 (2017; Zbl 1353.35298) Full Text: DOI
Gal, Ciprian G. On an inviscid model for incompressible two-phase flows with nonlocal interaction. (English) Zbl 1359.35128 J. Math. Fluid Mech. 18, No. 4, 659-677 (2016). MSC: 35Q30 45K05 37L30 76D03 76T99 PDFBibTeX XMLCite \textit{C. G. Gal}, J. Math. Fluid Mech. 18, No. 4, 659--677 (2016; Zbl 1359.35128) Full Text: DOI HAL
Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. (English) Zbl 1348.35171 J. Nonlinear Sci. 26, No. 4, 847-893 (2016). MSC: 35Q30 37L30 45K05 76D03 76T99 35D30 35D35 35B41 35Q35 76D05 PDFBibTeX XMLCite \textit{S. Frigeri} et al., J. Nonlinear Sci. 26, No. 4, 847--893 (2016; Zbl 1348.35171) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. (English) Zbl 1335.35100 J. Differ. Equations 260, No. 11, 7940-7964 (2016). MSC: 35K40 35K86 45K05 47H10 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Differ. Equations 260, No. 11, 7940--7964 (2016; Zbl 1335.35100) Full Text: DOI arXiv
Gal, Ciprian G.; Warma, Mahamadi Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions. (English) Zbl 1334.35387 Discrete Contin. Dyn. Syst. 36, No. 3, 1279-1319 (2016). MSC: 35R11 35A15 35B41 35K65 35K57 PDFBibTeX XMLCite \textit{C. G. Gal} and \textit{M. Warma}, Discrete Contin. Dyn. Syst. 36, No. 3, 1279--1319 (2016; Zbl 1334.35387) Full Text: DOI
Della Porta, Francesco; Grasselli, Maurizio On the nonlocal Cahn-Hilliard-Brinkman and Cahn-Hilliard-Hele-Shaw systems. (English) Zbl 1334.35226 Commun. Pure Appl. Anal. 15, No. 2, 299-317 (2016); erratum ibid. 16, No. 1, 369-372 (2017). MSC: 35Q35 35D30 76D27 76D45 76S05 76T99 76D03 35B65 PDFBibTeX XMLCite \textit{F. Della Porta} and \textit{M. Grasselli}, Commun. Pure Appl. Anal. 15, No. 2, 299--317 (2016; Zbl 1334.35226) Full Text: DOI arXiv
Boussaïd, Samira; Hilhorst, Danielle; Nguyen, Thanh Nam Convergence to steady state for the solutions of a nonlocal reaction-diffusion equation. (English) Zbl 1433.35190 Evol. Equ. Control Theory 4, No. 1, 39-59 (2015). MSC: 35K91 35B35 35B40 35K20 35K57 35R09 PDFBibTeX XMLCite \textit{S. Boussaïd} et al., Evol. Equ. Control Theory 4, No. 1, 39--59 (2015; Zbl 1433.35190) Full Text: DOI
Della Porta, Francesco; Grasselli, Maurizio Convective nonlocal Cahn-Hilliard equations with reaction terms. (English) Zbl 1335.35096 Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1529-1553 (2015). Reviewer: Hussein Fakih (Poitiers) MSC: 35K35 35B41 35K41 45K05 PDFBibTeX XMLCite \textit{F. Della Porta} and \textit{M. Grasselli}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1529--1553 (2015; Zbl 1335.35096) Full Text: DOI arXiv
Rocca, E.; Sprekels, J. Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. (English) Zbl 1322.49006 SIAM J. Control Optim. 53, No. 3, 1654-1680 (2015). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49J20 49K20 35R09 45K05 74N99 PDFBibTeX XMLCite \textit{E. Rocca} and \textit{J. Sprekels}, SIAM J. Control Optim. 53, No. 3, 1654--1680 (2015; Zbl 1322.49006) Full Text: DOI arXiv Link
Abels, Helmut; Bosia, Stefano; Grasselli, Maurizio Cahn-Hilliard equation with nonlocal singular free energies. (English) Zbl 1320.35083 Ann. Mat. Pura Appl. (4) 194, No. 4, 1071-1106 (2015). MSC: 35B41 45K05 47H05 47J35 80A22 35R09 35K58 35K20 PDFBibTeX XMLCite \textit{H. Abels} et al., Ann. Mat. Pura Appl. (4) 194, No. 4, 1071--1106 (2015; Zbl 1320.35083) Full Text: DOI arXiv
Gal, Ciprian G.; Grasselli, Maurizio Longtime behavior of nonlocal Cahn-Hilliard equations. (English) Zbl 1274.35399 Discrete Contin. Dyn. Syst. 34, No. 1, 145-179 (2014). MSC: 35R09 37L30 82C24 PDFBibTeX XMLCite \textit{C. G. Gal} and \textit{M. Grasselli}, Discrete Contin. Dyn. Syst. 34, No. 1, 145--179 (2014; Zbl 1274.35399) Full Text: DOI arXiv
Frigeri, Sergio; Grasselli, Maurizio; Krejčí, Pavel Strong solutions for two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems. (English) Zbl 1284.35312 J. Differ. Equations 255, No. 9, 2587-2614 (2013). MSC: 35Q30 37L30 45K05 76D03 76T99 35Q35 76D05 PDFBibTeX XMLCite \textit{S. Frigeri} et al., J. Differ. Equations 255, No. 9, 2587--2614 (2013; Zbl 1284.35312) Full Text: DOI arXiv
Frigeri, Sergio; Grasselli, Maurizio Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1261.35105 J. Dyn. Differ. Equations 24, No. 4, 827-856 (2012). MSC: 35Q30 37L30 45K05 76T99 PDFBibTeX XMLCite \textit{S. Frigeri} and \textit{M. Grasselli}, J. Dyn. Differ. Equations 24, No. 4, 827--856 (2012; Zbl 1261.35105) Full Text: DOI arXiv
Colli, Pierluigi; Frigeri, Sergio; Grasselli, Maurizio Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1241.35155 J. Math. Anal. Appl. 386, No. 1, 428-444 (2012). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q35 35D30 76D05 76D50 35R09 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Math. Anal. Appl. 386, No. 1, 428--444 (2012; Zbl 1241.35155) Full Text: DOI arXiv
Londen, Stig-Olof; Petzeltová, Hana Regularity and separation from potential barriers for a non-local phase-field system. (English) Zbl 1221.35085 J. Math. Anal. Appl. 379, No. 2, 724-735 (2011). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 35B65 35B40 35B45 35K65 45K05 82C26 PDFBibTeX XMLCite \textit{S.-O. Londen} and \textit{H. Petzeltová}, J. Math. Anal. Appl. 379, No. 2, 724--735 (2011; Zbl 1221.35085) Full Text: DOI