Hilhorst, Danielle; Salin, Florian; Schneider, Victor; Gao, Yueyuan Lecture notes on the singular limit of reaction-diffusion systems. (English) Zbl 1526.35027 Interdiscip. Inf. Sci. 29, No. 1, 1-53 (2023). MSC: 35B25 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{D. Hilhorst} et al., Interdiscip. Inf. Sci. 29, No. 1, 1--53 (2023; Zbl 1526.35027) Full Text: DOI
El Kettani, Perla; Funaki, Tadahisa; Hilhorst, Danielle; Park, Hyunjoon; Sethuraman, Sunder Singular limit of an Allen-Cahn equation with nonlinear diffusion. (English) Zbl 1507.35018 Tunis. J. Math. 4, No. 4, 719-754 (2022). MSC: 35B25 35B40 35B51 35K20 35K57 35K59 PDFBibTeX XMLCite \textit{P. El Kettani} et al., Tunis. J. Math. 4, No. 4, 719--754 (2022; Zbl 1507.35018) Full Text: DOI arXiv
Bertsch, Michiel; Hilhorst, Danielle; Izuhara, Hirofumi; Mimura, Masayasu; Wakasa, Tohru A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher-KPP equation. (English) Zbl 1435.35126 Discrete Contin. Dyn. Syst. 40, No. 6, 3117-3142 (2020). MSC: 35G55 35A01 35K57 35C07 35K65 92D25 PDFBibTeX XMLCite \textit{M. Bertsch} et al., Discrete Contin. Dyn. Syst. 40, No. 6, 3117--3142 (2020; Zbl 1435.35126) Full Text: DOI
Kettani, Perla El; Hilhorst, Danielle; Lee, Kai A stochastic mass conserved reaction-diffusion equation with nonlinear diffusion. (English) Zbl 1401.60122 Discrete Contin. Dyn. Syst. 38, No. 11, 5615-5648 (2018). MSC: 60H15 60H30 35K55 35K57 PDFBibTeX XMLCite \textit{P. E. Kettani} et al., Discrete Contin. Dyn. Syst. 38, No. 11, 5615--5648 (2018; Zbl 1401.60122) Full Text: DOI
Hilhorst, Danielle; Kim, Yong-Jung Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed. (English) Zbl 1381.35088 Appl. Math. Lett. 60, 28-35 (2016). MSC: 35K57 35K58 35C07 PDFBibTeX XMLCite \textit{D. Hilhorst} and \textit{Y.-J. Kim}, Appl. Math. Lett. 60, 28--35 (2016; Zbl 1381.35088) Full Text: DOI
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
Hilhorst, Danielle; Murakawa, Hideki Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium. (English) Zbl 1307.35138 Netw. Heterog. Media 9, No. 4, 669-682 (2014). MSC: 35K51 35K05 35K57 80A22 80A30 35B25 PDFBibTeX XMLCite \textit{D. Hilhorst} and \textit{H. Murakawa}, Netw. Heterog. Media 9, No. 4, 669--682 (2014; Zbl 1307.35138) Full Text: DOI
Angelini, Ophélie; Brenner, Konstantin; Hilhorst, Danielle A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation. (English) Zbl 1259.65132 Numer. Math. 123, No. 2, 219-257 (2013). MSC: 65M08 35K57 35K65 65M12 76S05 76M12 PDFBibTeX XMLCite \textit{O. Angelini} et al., Numer. Math. 123, No. 2, 219--257 (2013; Zbl 1259.65132) Full Text: DOI arXiv
Hilhorst, Danielle; Vohralík, Martin A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids. (English) Zbl 1225.76212 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 597-613 (2011). MSC: 76M12 76M10 76V05 76R10 65M15 PDFBibTeX XMLCite \textit{D. Hilhorst} and \textit{M. Vohralík}, Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 597--613 (2011; Zbl 1225.76212) Full Text: DOI
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin Combined nonconforming/mixed-hybrid finite element-finite volume scheme for degenerate parabolic problems. (English) Zbl 1056.65078 Feistauer, M. (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2003, the 5th European conference on numerical mathematics and advanced applications, Prague, Czech Republic, August 18–22, 2003. Berlin: Springer (ISBN 3-540-21460-7/hbk). 288-297 (2004). MSC: 65M06 65M60 35K57 35K65 PDFBibTeX XMLCite \textit{R. Eymard} et al., in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2003, the 5th European conference on numerical mathematics and advanced applications, Prague, Czech Republic, August 18--22, 2003. Berlin: Springer. 288--297 (2004; Zbl 1056.65078)
Guedda, M.; Hilhorst, D.; Shmarev, S. I. Regularity of interfaces for an inhomogeneous filtration equation. (English) Zbl 1056.35094 Adv. Nonlinear Stud. 1, No. 1, 80-101 (2001). Reviewer: Shigeru Sakaguchi (Ehime) MSC: 35K65 35K55 35R35 35B65 76S05 PDFBibTeX XMLCite \textit{M. Guedda} et al., Adv. Nonlinear Stud. 1, No. 1, 80--101 (2001; Zbl 1056.35094) Full Text: DOI
Fife, Paul C.; Hilhorst, Danielle The Nishiura-Ohnishi free boundary problem in the 1D case. (English) Zbl 1077.35121 SIAM J. Math. Anal. 33, No. 3, 589-606 (2001). MSC: 35R35 34C60 35B25 35K55 76R99 80A22 PDFBibTeX XMLCite \textit{P. C. Fife} and \textit{D. Hilhorst}, SIAM J. Math. Anal. 33, No. 3, 589--606 (2001; Zbl 1077.35121) Full Text: DOI
Hilhorst, Danielle; Rodrigues, José-Francisco On a nonlocal diffusion equation with discontinuous reaction. (English) Zbl 0990.35058 Adv. Differ. Equ. 5, No. 4-6, 657-680 (2000). Reviewer: Michael A.Borodin (Donetsk) MSC: 35K50 35K57 35R35 35K65 PDFBibTeX XMLCite \textit{D. Hilhorst} and \textit{J.-F. Rodrigues}, Adv. Differ. Equ. 5, No. 4--6, 657--680 (2000; Zbl 0990.35058)
Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y. Finite volumes and nonlinear diffusion equations. (English) Zbl 0914.65101 RAIRO, Modélisation Math. Anal. Numér. 32, No. 6, 747-761 (1998). Reviewer: E.Emmrich (Berlin) MSC: 65M60 65M12 35K55 35R35 80A22 PDFBibTeX XMLCite \textit{R. Eymard} et al., RAIRO, Modélisation Math. Anal. Numér. 32, No. 6, 747--761 (1998; Zbl 0914.65101) Full Text: DOI EuDML
Hilhorst, Danielle; Logak, Elisabeth; Nishiura, Yasumasa Singular limit for an Allen-Cahn equation with a nonlocal term. (English) Zbl 0806.35091 Buttazzo, Giuseppe (ed.) et al., Motion by mean curvature and related topics: proceedings of the international conference held at Trento, Italy, July 20-24, 1992. Berlin: de Gruyter. 98-109 (1994). Reviewer: S.Jimbo (Sapporo) MSC: 35K60 35K57 45K05 35B25 PDFBibTeX XMLCite \textit{D. Hilhorst} et al., in: Motion by mean curvature and related topics: proceedings of the international conference held at Trento, Italy, July 20-24, 1992. Berlin: de Gruyter. 98--109 (1994; Zbl 0806.35091)
Bertsch, M.; Gurtin, M. E.; Hilhorst, D. On interacting populations that disperse to avoid crowding: The case of equal dispersal velocities. (English) Zbl 0646.92018 Nonlinear Anal., Theory Methods Appl. 11, 493-499 (1987). Reviewer: C.Y.Chan MSC: 92D25 35Q99 35A05 PDFBibTeX XMLCite \textit{M. Bertsch} et al., Nonlinear Anal., Theory Methods Appl. 11, 493--499 (1987; Zbl 0646.92018) Full Text: DOI
van Duyn, C. J.; Hilhorst, D. The interface between fresh and salt groundwater in horizontally extended aquifers. (English) Zbl 0593.35117 Free boundary problems: applications and theory, Vol. III, Proc. Int. Colloq., Maubuisson/France 1984, Res. Notes Math. 120, 287-292 (1985). MSC: 35R35 35K60 35B40 35A05 PDFBibTeX XML