Di Primio, Andrea; Grasselli, Maurizio; Scarpa, Luca A stochastic Allen-Cahn-Navier-Stokes system with singular potential. (English) Zbl 07806932 J. Differ. Equations 387, 378-431 (2024). MSC: 35Q35 76D05 76T06 35A01 35A02 60H15 35R60 PDFBibTeX XMLCite \textit{A. Di Primio} et al., J. Differ. Equations 387, 378--431 (2024; Zbl 07806932) Full Text: DOI arXiv
Orrieri, Carlo; Scarpa, Luca A note on regularity and separation for the stochastic Allen-Cahn equation with logarithmic potential. (English) Zbl 07800073 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3837-3851 (2023). MSC: 35R60 35K10 35K58 35K67 60H15 PDFBibTeX XMLCite \textit{C. Orrieri} and \textit{L. Scarpa}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3837--3851 (2023; Zbl 07800073) Full Text: DOI arXiv
Blömker, Dirk; Tölle, Jonas M. Singular limits for stochastic equations. (English) Zbl 1527.35512 Stoch. Dyn. 23, No. 5, Article ID 2350040, 25 p. (2023). MSC: 35R60 35K91 60F05 60H15 60H17 PDFBibTeX XMLCite \textit{D. Blömker} and \textit{J. M. Tölle}, Stoch. Dyn. 23, No. 5, Article ID 2350040, 25 p. (2023; Zbl 1527.35512) Full Text: DOI arXiv
Tachim Medjo, T. Large deviation principles for a 2D liquid crystal model with jump noise. (English) Zbl 07744474 Appl. Anal. 102, No. 15, 4177-4208 (2023). MSC: 35Q30 76A15 76M35 60F10 60H15 60G57 60G51 35D35 35R60 86A05 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Appl. Anal. 102, No. 15, 4177--4208 (2023; Zbl 07744474) Full Text: DOI
Scarpa, Luca; Stefanelli, Ulisse Doubly nonlinear stochastic evolution equations. II. (English) Zbl 1518.35708 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 1, 307-347 (2023); correction ibid. 11, No. 4, 1740-1743 (2023). MSC: 35R60 35K55 60H15 PDFBibTeX XMLCite \textit{L. Scarpa} and \textit{U. Stefanelli}, Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 1, 307--347 (2023; Zbl 1518.35708) Full Text: DOI arXiv
Deugoué, G.; Tachim Medjo, T. Large deviation for a 3D globally modified Cahn-Hilliard-Navier-Stokes model under random influences. (English) Zbl 1514.35493 Stochastic Processes Appl. 160, 33-71 (2023). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{G. Deugoué} and \textit{T. Tachim Medjo}, Stochastic Processes Appl. 160, 33--71 (2023; Zbl 1514.35493) Full Text: DOI
Deugoué, Gabriel; Tachim Medjo, Theodore Large deviation principles for a 2D stochastic Cahn-Hilliard-Navier-Stokes driven by jump noise. (English) Zbl 1504.35662 Stochastics 94, No. 7, 1102-1136 (2022). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{G. Deugoué} and \textit{T. Tachim Medjo}, Stochastics 94, No. 7, 1102--1136 (2022; Zbl 1504.35662) Full Text: DOI
Bertacco, Federico; Orrieri, Carlo; Scarpa, Luca Random separation property for stochastic Allen-Cahn-type equations. (English) Zbl 1498.35636 Electron. J. Probab. 27, Paper No. 95, 32 p. (2022). MSC: 35R60 35K20 35K67 35K92 60H15 PDFBibTeX XMLCite \textit{F. Bertacco} et al., Electron. J. Probab. 27, Paper No. 95, 32 p. (2022; Zbl 1498.35636) Full Text: DOI arXiv Link
Yuan, Maoqin; Chen, Wenbin; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru A second order accurate in time, energy stable finite element scheme for the Flory-Huggins-Cahn-Hilliard equation. (English) Zbl 1513.35293 Adv. Appl. Math. Mech. 14, No. 6, 1477-1508 (2022). MSC: 35K25 35K55 60F10 65M60 PDFBibTeX XMLCite \textit{M. Yuan} et al., Adv. Appl. Math. Mech. 14, No. 6, 1477--1508 (2022; Zbl 1513.35293) Full Text: DOI
Medjo, T. Tachim On weak martingale solutions to a stochastic Allen-Cahn-Navier-Stokes model with inertial effects. (English) Zbl 1496.35466 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5447-5485 (2022). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{T. T. Medjo}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5447--5485 (2022; Zbl 1496.35466) Full Text: DOI
Tachim Medjo, Theodore Large deviation principles for a 2D stochastic Allen-Cahn-Navier-Stokes driven by jump noise. (English) Zbl 1491.35471 Stoch. Dyn. 22, No. 4, Article ID 2250005, 36 p. (2022). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Stoch. Dyn. 22, No. 4, Article ID 2250005, 36 p. (2022; Zbl 1491.35471) Full Text: DOI
Tachim Medjo, T. On the weak solutions to a stochastic two-phase flow model. (English) Zbl 1485.35442 Appl. Anal. 101, No. 3, 914-937 (2022). MSC: 35R60 35D30 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Appl. Anal. 101, No. 3, 914--937 (2022; Zbl 1485.35442) Full Text: DOI
Scarpa, Luca The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit. (English) Zbl 1470.35452 Appl. Math. Optim. 84, No. 1, 487-533 (2021). MSC: 35R60 35B25 35K35 60H15 80A22 PDFBibTeX XMLCite \textit{L. Scarpa}, Appl. Math. Optim. 84, No. 1, 487--533 (2021; Zbl 1470.35452) Full Text: DOI arXiv
Deugoué, G.; Tachim Medjo, T. Large deviation for a 2D Allen-Cahn-Navier-Stokes model under random influences. (English) Zbl 1473.35437 Asymptotic Anal. 123, No. 1-2, 41-78 (2021). MSC: 35Q35 76D05 60F10 60F05 60J65 35D35 35R60 PDFBibTeX XMLCite \textit{G. Deugoué} and \textit{T. Tachim Medjo}, Asymptotic Anal. 123, No. 1--2, 41--78 (2021; Zbl 1473.35437) Full Text: DOI
Scarpa, Luca The stochastic Cahn-Hilliard equation with degenerate mobility and logarithmic potential. (English) Zbl 1467.35199 Nonlinearity 34, No. 6, 3813-3857 (2021). MSC: 35K35 35R60 60H15 80A22 PDFBibTeX XMLCite \textit{L. Scarpa}, Nonlinearity 34, No. 6, 3813--3857 (2021; Zbl 1467.35199) Full Text: DOI arXiv
Scarpa, Luca Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation. (English) Zbl 1462.35478 J. Nonlinear Sci. 31, No. 2, Paper No. 45, 57 p. (2021). MSC: 35R60 35K35 35K58 60H15 80A22 PDFBibTeX XMLCite \textit{L. Scarpa}, J. Nonlinear Sci. 31, No. 2, Paper No. 45, 57 p. (2021; Zbl 1462.35478) Full Text: DOI arXiv
Slavík, Jakub Attractors for stochastic reaction-diffusion equation with additive homogeneous noise. (English) Zbl 1513.35081 Czech. Math. J. 71, No. 1, 21-43 (2021). MSC: 35B41 60H15 37L55 35K57 PDFBibTeX XMLCite \textit{J. Slavík}, Czech. Math. J. 71, No. 1, 21--43 (2021; Zbl 1513.35081) Full Text: DOI
Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em What is the fractional Laplacian? A comparative review with new results. (English) Zbl 1453.35179 J. Comput. Phys. 404, Article ID 109009, 62 p. (2020). MSC: 35R11 60G51 35A01 35A02 65N30 65C05 35-02 65-02 PDFBibTeX XMLCite \textit{A. Lischke} et al., J. Comput. Phys. 404, Article ID 109009, 62 p. (2020; Zbl 1453.35179) Full Text: DOI Link
Scarpa, Luca; Stefanelli, Ulisse Doubly nonlinear stochastic evolution equations. (English) Zbl 1451.35268 Math. Models Methods Appl. Sci. 30, No. 5, 991-1031 (2020); erratum ibid. 32, No. 13, 2759-2761 (2022). MSC: 35R60 35K55 60H15 47H05 PDFBibTeX XMLCite \textit{L. Scarpa} and \textit{U. Stefanelli}, Math. Models Methods Appl. Sci. 30, No. 5, 991--1031 (2020; Zbl 1451.35268) Full Text: DOI arXiv
Qiu, Zhaoyang; Wang, Huaqiao Large deviation principle for the 2D stochastic Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 1434.35117 Z. Angew. Math. Phys. 71, No. 3, Paper No. 88, 29 p. (2020). MSC: 35Q35 76D05 35R60 60F10 PDFBibTeX XMLCite \textit{Z. Qiu} and \textit{H. Wang}, Z. Angew. Math. Phys. 71, No. 3, Paper No. 88, 29 p. (2020; Zbl 1434.35117) Full Text: DOI arXiv
Deugoue, G.; Tachim Medjo, T. Large deviation for a 2D Cahn-Hilliard-Navier-Stokes model under random influences. (English) Zbl 1431.60055 J. Math. Anal. Appl. 486, No. 1, Article ID 123863, 34 p. (2020). MSC: 60H15 60F10 35B40 35R60 35Q35 PDFBibTeX XMLCite \textit{G. Deugoue} and \textit{T. Tachim Medjo}, J. Math. Anal. Appl. 486, No. 1, Article ID 123863, 34 p. (2020; Zbl 1431.60055) Full Text: DOI
Tachim Medjo, Theodore On the weak solutions to a 3D stochastic Cahn-Hilliard-Navier-Stokes model. (English) Zbl 1431.35260 Z. Angew. Math. Phys. 71, No. 1, Paper No. 13, 23 p. (2020). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Z. Angew. Math. Phys. 71, No. 1, Paper No. 13, 23 p. (2020; Zbl 1431.35260) Full Text: DOI
Tachim Medjo, T. Weak solution of a stochastic 3D Cahn-Hilliard-Navier-Stokes model driven by jump noise. (English) Zbl 1471.60101 J. Math. Anal. Appl. 484, No. 1, Article ID 123680, 41 p. (2020). MSC: 60H15 35D30 35Q35 35R60 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, J. Math. Anal. Appl. 484, No. 1, Article ID 123680, 41 p. (2020; Zbl 1471.60101) Full Text: DOI
Medjo, T. Tachim On the existence and uniqueness of solution to a stochastic simplified liquid crystal model. (English) Zbl 1484.76013 Commun. Pure Appl. Anal. 18, No. 5, 2243-2264 (2019). MSC: 76A15 35Q35 35R60 60H15 PDFBibTeX XMLCite \textit{T. T. Medjo}, Commun. Pure Appl. Anal. 18, No. 5, 2243--2264 (2019; Zbl 1484.76013) Full Text: DOI
Scarpa, Luca Optimal distributed control of a stochastic Cahn-Hilliard equation. (English) Zbl 1425.35090 SIAM J. Control Optim. 57, No. 5, 3571-3602 (2019). MSC: 35K55 35R60 60H15 80A22 82C26 PDFBibTeX XMLCite \textit{L. Scarpa}, SIAM J. Control Optim. 57, No. 5, 3571--3602 (2019; Zbl 1425.35090) Full Text: DOI arXiv
Medjo, Theodore Tachim On the existence and uniqueness of solution to a stochastic 2D Allen-Cahn-Navier-Stokes model. (English) Zbl 1410.35295 Stoch. Dyn. 19, No. 1, Article ID 1950007, 28 p. (2019). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{T. T. Medjo}, Stoch. Dyn. 19, No. 1, Article ID 1950007, 28 p. (2019; Zbl 1410.35295) Full Text: DOI
Medjo, Theodore Tachim On the convergence of a stochastic 3D globally modified two-phase flow model. (English) Zbl 1401.35252 Discrete Contin. Dyn. Syst. 39, No. 1, 395-430 (2019). MSC: 35Q35 35A01 35A02 35R60 76M10 65M60 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{T. T. Medjo}, Discrete Contin. Dyn. Syst. 39, No. 1, 395--430 (2019; Zbl 1401.35252) Full Text: DOI
Scarpa, Luca On the stochastic Cahn-Hilliard equation with a singular double-well potential. (English) Zbl 1390.35122 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 171, 102-133 (2018). MSC: 35K25 35R60 60H15 80A22 PDFBibTeX XMLCite \textit{L. Scarpa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 171, 102--133 (2018; Zbl 1390.35122) Full Text: DOI arXiv
Deugoué, G.; Tachim Medjo, T. Convergence of the solution of the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 1388.35152 J. Differ. Equations 265, No. 2, 545-592 (2018). MSC: 35Q35 35R60 60H15 76M35 86A05 35D35 35D30 35B40 PDFBibTeX XMLCite \textit{G. Deugoué} and \textit{T. Tachim Medjo}, J. Differ. Equations 265, No. 2, 545--592 (2018; Zbl 1388.35152) Full Text: DOI
Tachim Medjo, T. On the existence and uniqueness of solution to a stochastic 2D Cahn-Hilliard-Navier-Stokes model. (English) Zbl 1365.35235 J. Differ. Equations 263, No. 2, 1028-1054 (2017). Reviewer: Feng-Yu Wang (Swansea) MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, J. Differ. Equations 263, No. 2, 1028--1054 (2017; Zbl 1365.35235) Full Text: DOI