Hilhorst, Danielle; Martin, Sébastien; Mimura, Masayasu Singular limit of a competition-diffusion system with large interspecific interaction. (English) Zbl 1236.35208 J. Math. Anal. Appl. 390, No. 2, 488-513 (2012). MSC: 35R35 35K57 35Q92 92D25 PDFBibTeX XMLCite \textit{D. Hilhorst} et al., J. Math. Anal. Appl. 390, No. 2, 488--513 (2012; Zbl 1236.35208) Full Text: DOI
Crooks, Elaine C. M.; Dancer, E. Norman; Hilhorst, Danielle On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions. (English) Zbl 1146.35014 Topol. Methods Nonlinear Anal. 30, No. 1, 1-36 (2007). Reviewer: Rong Yuan (Beijing) MSC: 35B40 35K50 35K57 92D25 35B25 PDFBibTeX XMLCite \textit{E. C. M. Crooks} et al., Topol. Methods Nonlinear Anal. 30, No. 1, 1--36 (2007; Zbl 1146.35014) Full Text: arXiv
Hilhorst, D.; Issard-Roch, F.; Roquejoffre, J. M. Large time behavior of the solutions to a one-dimensional Stefan problem with a kinetic condition at the free boundary. (English) Zbl 1072.35205 Eur. J. Appl. Math. 15, No. 3, 297-313 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{D. Hilhorst} et al., Eur. J. Appl. Math. 15, No. 3, 297--313 (2004; Zbl 1072.35205) Full Text: DOI
Henry, M.; Hilhorst, D.; Nishiura, Y. Singular limit of a second order nonlocal parabolic equation of conservative type arising in the micro-phase separation of diblock copolymers. (English) Zbl 1041.35008 Hokkaido Math. J. 32, No. 3, 561-622 (2003). Reviewer: Alyona A. Zamyshlyaeva (Chelyabinsk) MSC: 35B25 35K57 35R35 PDFBibTeX XMLCite \textit{M. Henry} et al., Hokkaido Math. J. 32, No. 3, 561--622 (2003; Zbl 1041.35008) Full Text: DOI
Hilhorst, Danielle; Mimura, Masayasu; Schätzle, Reiner Vanishing latent heat limit in a Stefan-like problem arising in biology. (English) Zbl 1049.92035 Nonlinear Anal., Real World Appl. 4, No. 2, 261-285 (2003). MSC: 92D40 35K57 35R35 35K65 PDFBibTeX XMLCite \textit{D. Hilhorst} et al., Nonlinear Anal., Real World Appl. 4, No. 2, 261--285 (2003; Zbl 1049.92035) Full Text: DOI
Eymard, R.; Hilhorst, D.; van der Hout, R.; Peletier, L. A. A reaction-diffusion system approximation of a one-phase Stefan problem. (English) Zbl 1054.35019 Menaldi, José Luis (ed.) et al., Optimal control and partial differential equations. In honour of Professor Alain Bensoussan’s 60th birthday. Proceedings of the conference, Paris, France, December 4, 2000. Amsterdam: IOS Press; Tokyo: Ohmsha (ISBN 1-58603-096-5; 4-274-90412-1). 156-170 (2001). MSC: 35K57 35R35 80A22 PDFBibTeX XMLCite \textit{R. Eymard} et al., in: Optimal control and partial differential equations. In honour of Professor Alain Bensoussan's 60th birthday. Proceedings of the conference, Paris, France, December 4, 2000. Amsterdam: IOS Press; Tokyo: Ohmsha. 156--170 (2001; Zbl 1054.35019)
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
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A. Spatial segregation limit of a competition-diffusion system. (English) Zbl 0982.92031 Eur. J. Appl. Math. 10, No. 2, 97-115 (1999). MSC: 92D40 35R35 35Q92 35K57 PDFBibTeX XMLCite \textit{E. N. Dancer} et al., Eur. J. Appl. Math. 10, No. 2, 97--115 (1999; Zbl 0982.92031) Full Text: DOI
Hilhorst, D.; Radkevich, E. V. Interior layers and the regularization of the Verigin-Muskat classical problem. (English. Russian original) Zbl 0962.35197 Dokl. Math. 58, No. 3, 426-429 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 4, 462-465 (1998). MSC: 35R35 76S05 35K20 PDFBibTeX XMLCite \textit{D. Hilhorst} and \textit{E. V. Radkevich}, Dokl. Math. 58, No. 3, 462--465 (1998; Zbl 0962.35197); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 4, 462--465 (1998)
Hilhorst, D.; van der Hout, R.; Peletier, L. A. Diffusion in the presence of fast reaction: The case of a general monotone reaction term. (English) Zbl 0905.35045 J. Math. Sci., Tokyo 4, No. 3, 469-517 (1997). Reviewer: A.Fasano (Firenze) MSC: 35K57 35R35 35B05 35B25 35B40 PDFBibTeX XMLCite \textit{D. Hilhorst} et al., J. Math. Sci., Tokyo 4, No. 3, 469--517 (1997; Zbl 0905.35045)
Abergel, F.; Hilhorst, D.; Issard-Roch, F.; Scheid, J. F. Local existence and uniqueness of a Stefan problem with surface tension. (English) Zbl 0872.35134 Appl. Anal. 60, No. 3-4, 219-240 (1996). Reviewer: F.Abergel (Orsay) MSC: 35R35 35K55 35A07 PDFBibTeX XMLCite \textit{F. Abergel} et al., Appl. Anal. 60, No. 3--4, 219--240 (1996; Zbl 0872.35134) Full Text: DOI
Bertsch, M.; Hilhorst, D.; Schmidt-Lainé, Cl. The well-posedness of a free boundary problem for Burgers’ equation. (English) Zbl 0822.35115 Nonlinear Anal., Theory Methods Appl. 23, No. 9, 1211-1224 (1994). Reviewer: L.Vazquez (Madrid) MSC: 35Q53 35R35 PDFBibTeX XMLCite \textit{M. Bertsch} et al., Nonlinear Anal., Theory Methods Appl. 23, No. 9, 1211--1224 (1994; Zbl 0822.35115) Full Text: DOI
Abergel, F.; Hilhorst, D.; Issard-Roch, F. On a dissolution-growth problem with surface tension in the neighborhood of a stationary solution. (English) Zbl 0812.35053 SIAM J. Math. Anal. 24, No. 2, 299-316 (1993). MSC: 35K55 35R35 35Q35 PDFBibTeX XMLCite \textit{F. Abergel} et al., SIAM J. Math. Anal. 24, No. 2, 299--316 (1993; Zbl 0812.35053) Full Text: DOI Link
Hilhorst, D.; Hulshof, J. An elliptic-parabolic problem in combustion theory: Convergence to travelling waves. (English) Zbl 0761.35114 Nonlinear Anal., Theory Methods Appl. 17, No. 6, 519-546 (1991). Reviewer: M.Schneider (Karlsruhe) MSC: 35R35 35Q80 35M10 35K55 35K57 PDFBibTeX XMLCite \textit{D. Hilhorst} and \textit{J. Hulshof}, Nonlinear Anal., Theory Methods Appl. 17, No. 6, 519--546 (1991; Zbl 0761.35114) 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
Diekmann, O.; Hilhorst, D. Variational analysis of a perturbed free boundary problem. (English) Zbl 0504.35078 Commun. Partial Differ. Equations 7, 1309-1336 (1982). MSC: 35R35 35B20 35J65 35J25 35J85 35A35 PDFBibTeX XMLCite \textit{O. Diekmann} and \textit{D. Hilhorst}, Commun. Partial Differ. Equations 7, 1309--1336 (1982; Zbl 0504.35078) Full Text: DOI
Hilhorst, D. A perturbed free boundary problem arising in the physics of ionized gases. (English) Zbl 0495.35082 Theory and applications of singular perturbations, Proc. Conf., Oberwolfach 1981, Lect. Notes Math. 942, 309-317 (1982). MSC: 35R35 35B25 35J65 47H05 47J05 76X05 PDFBibTeX XML
Diekmann, O.; Hilhorst, D. Variational analysis of a perturbed free boundary problem. (English) Zbl 0491.35050 Math. Cent., Amst., Afd. Toegepaste Wiskd. TW 220/81, 31 p. (1981). MSC: 35J65 35B25 35A15 35R35 PDFBibTeX XML