Ding, Juntang Blow-up problem of quasilinear weakly coupled reaction-diffusion systems with Neumann boundary conditions. (English) Zbl 1466.35057 J. Math. Anal. Appl. 502, No. 2, Article ID 125283, 11 p. (2021). MSC: 35B44 35K51 35K59 PDF BibTeX XML Cite \textit{J. Ding}, J. Math. Anal. Appl. 502, No. 2, Article ID 125283, 11 p. (2021; Zbl 1466.35057) Full Text: DOI OpenURL
Hutridurga, Harsha; Allaire, Grégoire On the homogenization of multicomponent transport. (English) Zbl 1339.35026 Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2527-2551 (2015). MSC: 35B27 35K55 35B50 74Q15 35K51 PDF BibTeX XML Cite \textit{H. Hutridurga} and \textit{G. Allaire}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2527--2551 (2015; Zbl 1339.35026) Full Text: DOI arXiv OpenURL
Flores, Salvador; Jerez, Silvia A parabolic system model for the formation of porous silicon: existence, uniqueness, and stability. (English) Zbl 1325.78008 SIAM J. Appl. Math. 75, No. 3, 1047-1064 (2015). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 78A57 35K57 35K51 35B40 35A09 35B35 78A35 PDF BibTeX XML Cite \textit{S. Flores} and \textit{S. Jerez}, SIAM J. Appl. Math. 75, No. 3, 1047--1064 (2015; Zbl 1325.78008) Full Text: DOI OpenURL
Rebiai, Belgacem; Benachour, Saïd Global classical solutions for reaction-diffusion systems with nonlinearities of exponential growth. (English) Zbl 1250.35119 J. Evol. Equ. 10, No. 3, 511-527 (2010). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K51 35K57 35B40 PDF BibTeX XML Cite \textit{B. Rebiai} and \textit{S. Benachour}, J. Evol. Equ. 10, No. 3, 511--527 (2010; Zbl 1250.35119) Full Text: DOI OpenURL
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce Diffusion mediated transport in multiple state systems. (English) Zbl 1157.34039 SIAM J. Math. Anal. 39, No. 4, 1208-1230 (2007). Reviewer: Eva Sanchez (Madrid) MSC: 34C60 34D23 35K50 35K57 92C37 92C45 PDF BibTeX XML Cite \textit{S. Hastings} et al., SIAM J. Math. Anal. 39, No. 4, 1208--1230 (2007; Zbl 1157.34039) Full Text: DOI OpenURL
Perez-Perez, Aroldo A blow up condition for a nonautonomous semilinear system. (English) Zbl 1112.35085 Electron. J. Differ. Equ. 2006, Paper No. 94, 8 p. (2006). MSC: 35K45 35K55 35K57 35B40 35S10 PDF BibTeX XML Cite \textit{A. Perez-Perez}, Electron. J. Differ. Equ. 2006, Paper No. 94, 8 p. (2006; Zbl 1112.35085) Full Text: EuDML EMIS OpenURL
Willie, Robert Large diffusivity stability of attractors in the \(C(\Omega)\)-topology for a semilinear reaction and diffusion system of equations. (English) Zbl 1107.35029 Dyn. Partial Differ. Equ. 3, No. 3, 173-197 (2006). Reviewer: A. Cichocka (Katowice) MSC: 35B41 35B35 35B40 35K57 35K50 PDF BibTeX XML Cite \textit{R. Willie}, Dyn. Partial Differ. Equ. 3, No. 3, 173--197 (2006; Zbl 1107.35029) Full Text: DOI OpenURL
Umeda, Noriaki Large time behavior and uniqueness of solutions of weakly coupled system of reaction-diffusion equations. (English) Zbl 1050.35032 Tokyo J. Math. 26, No. 2, 347-372 (2003). Reviewer: David S. Boukal (České Budějovice) MSC: 35K45 35A05 35C05 35B40 35K57 PDF BibTeX XML Cite \textit{N. Umeda}, Tokyo J. Math. 26, No. 2, 347--372 (2003; Zbl 1050.35032) Full Text: DOI OpenURL
Kim, Kwang Ik; Lin, Zhigui Coexistence in the three species predator–prey model with diffusion. (English) Zbl 1026.92045 Appl. Math. Comput. 145, No. 2-3, 701-716 (2003). MSC: 92D40 35K57 35B99 PDF BibTeX XML Cite \textit{K. I. Kim} and \textit{Z. Lin}, Appl. Math. Comput. 145, No. 2--3, 701--716 (2003; Zbl 1026.92045) Full Text: DOI OpenURL
Umeda, Noriaki Blow-up and large time behavior of solutions of a weakly coupled system of reaction-diffusion equations. (English) Zbl 1035.35018 Tsukuba J. Math. 27, No. 1, 31-46 (2003). Reviewer: Mersaid Aripov (Tashkent) MSC: 35B40 35K57 35K45 PDF BibTeX XML Cite \textit{N. Umeda}, Tsukuba J. Math. 27, No. 1, 31--46 (2003; Zbl 1035.35018) Full Text: DOI OpenURL
Hetzer, G.; Tello, L. On a reaction-diffusion system arising in climatology. (English) Zbl 1024.35017 Dyn. Syst. Appl. 11, No. 3, 381-401 (2002). Reviewer: Evgeniy A.Kalita (Donetsk) MSC: 35B41 35K65 58J35 37N10 35K57 86A10 PDF BibTeX XML Cite \textit{G. Hetzer} and \textit{L. Tello}, Dyn. Syst. Appl. 11, No. 3, 381--401 (2002; Zbl 1024.35017) OpenURL
Constantin, Adrian; Escher, Joachim Global solutions for quasilinear parabolic problems. (English) Zbl 1004.35070 J. Evol. Equ. 2, No. 1, 97-111 (2002). Reviewer: Gary M.Lieberman (Ames) MSC: 35K60 35K55 PDF BibTeX XML Cite \textit{A. Constantin} and \textit{J. Escher}, J. Evol. Equ. 2, No. 1, 97--111 (2002; Zbl 1004.35070) Full Text: DOI OpenURL
Afendikov, Andrei; Mielke, Alexander Multi-pulse solutions in problems with reflection symmetry in cylindrical domains. (English) Zbl 0971.35039 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 769-771 (2000). MSC: 35K57 37L15 35B10 37L20 PDF BibTeX XML Cite \textit{A. Afendikov} and \textit{A. Mielke}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 769--771 (2000; Zbl 0971.35039) OpenURL
Fang, Qing Inertial manifold theory for a class of reaction-diffusion equations on thin tubular domains. (English) Zbl 0970.35008 Li, T.-T. (ed.) et al., China-Japan symposium on reaction-diffusion equations and their applications and computational aspects, Shanghai, China, October 30-November 4, 1994. Singapore: World Scientific. 14-22 (1997). Reviewer: A.Cichocka (Katowice) MSC: 35B42 35K50 35K57 PDF BibTeX XML Cite \textit{Q. Fang}, in: China-Japan symposium on reaction-diffusion equations and their applications and computational aspects, Shanghai, China, October 30--November 4, 1994. Singapore: World Scientific. 14--22 (1997; Zbl 0970.35008) OpenURL
Nolasco de Carvalho, Alexandre; Ruas-Filho, José Gaspar Global attractors for parabolic problems in fractional power spaces. (English) Zbl 0824.35009 SIAM J. Math. Anal. 26, No. 2, 415-427 (1995). MSC: 35B40 35K60 92E20 35K57 PDF BibTeX XML Cite \textit{A. Nolasco de Carvalho} and \textit{J. G. Ruas-Filho}, SIAM J. Math. Anal. 26, No. 2, 415--427 (1995; Zbl 0824.35009) Full Text: DOI OpenURL
Fitzgibbon, W. E.; Hollis, S. L.; Morgan, J. J. Locally stable dynamics for reaction diffusion systems. (English) Zbl 0789.35082 Goldstein, Gisèle Ruiz (ed.) et al., Semigroups of linear and nonlinear operations and applications. Proceedings of the Curaçao conference, Netherlands Antilles, August 1992. Dordrecht: Kluwer Academic Publishers. 143-157 (1993). Reviewer: L.Recke (Berlin) MSC: 35K57 35B35 92E20 PDF BibTeX XML Cite \textit{W. E. Fitzgibbon} et al., in: Semigroups of linear and nonlinear operations and applications. Proceedings of the Curaçao conference, Netherlands Antilles, August 1992. Dordrecht: Kluwer Academic Publishers. 143--157 (1993; Zbl 0789.35082) OpenURL
Engler, Hans On semilinear evolution equations with many Lyapunov functionals. (English) Zbl 0754.35016 Differ. Integral Equ. 5, No. 5, 1069-1088 (1992). Reviewer: Ll.G.Chambers (Bangor) MSC: 35B40 35K60 35G10 35K25 35K57 PDF BibTeX XML Cite \textit{H. Engler}, Differ. Integral Equ. 5, No. 5, 1069--1088 (1992; Zbl 0754.35016) OpenURL
Hetzer, G.; Schmidt, P. G. Global existence and asymptotic behavior for a quasilinear reaction-diffusion system from climate modeling. (English) Zbl 0758.35044 J. Math. Anal. Appl. 160, No. 1, 250-262 (1991). MSC: 35K57 35K55 86A10 35B40 58J60 58E07 35G10 35K25 PDF BibTeX XML Cite \textit{G. Hetzer} and \textit{P. G. Schmidt}, J. Math. Anal. Appl. 160, No. 1, 250--262 (1991; Zbl 0758.35044) Full Text: DOI OpenURL
Fitzgibbon, W. E.; Morgan, J. Steady state solutions for certain reaction diffusion systems. (English) Zbl 0731.35043 Nonlinear Anal., Theory Methods Appl. 15, No. 1, 27-37 (1990). Reviewer: S.E.Zhelezovsky (Saratov) MSC: 35J65 35K57 35J55 PDF BibTeX XML Cite \textit{W. E. Fitzgibbon} and \textit{J. Morgan}, Nonlinear Anal., Theory Methods Appl. 15, No. 1, 27--37 (1990; Zbl 0731.35043) Full Text: DOI OpenURL
Hill, James M.; McNabb, Alex On Dankwert’s transformation for two variable coupled systems. (English) Zbl 0709.35052 Bull. Aust. Math. Soc. 41, No. 3, 355-369 (1990). Reviewer: N.Weck MSC: 35K40 35K57 35A30 PDF BibTeX XML Cite \textit{J. M. Hill} and \textit{A. McNabb}, Bull. Aust. Math. Soc. 41, No. 3, 355--369 (1990; Zbl 0709.35052) Full Text: DOI OpenURL
Lakshmikantham, V.; Leela, S. Reaction-diffusion systems and vector Lyapunov functions. (English) Zbl 0727.35069 Differ. Integral Equ. 1, No. 1, 41-47 (1988). Reviewer: A.Tsutsumi (Sakai, Osaka) MSC: 35K57 35B35 PDF BibTeX XML Cite \textit{V. Lakshmikantham} and \textit{S. Leela}, Differ. Integral Equ. 1, No. 1, 41--47 (1988; Zbl 0727.35069) OpenURL
Carl, S. A monotone iterative scheme for nonlinear reaction-diffusion systems having nonmonotone reaction terms. (English) Zbl 0661.65126 J. Math. Anal. Appl. 134, No. 1, 81-93 (1988). Reviewer: F.v.Finckenstein MSC: 65Z05 35K57 PDF BibTeX XML Cite \textit{S. Carl}, J. Math. Anal. Appl. 134, No. 1, 81--93 (1988; Zbl 0661.65126) Full Text: DOI OpenURL
Kleinig, Wolfgang Stabilisierung von Lösungen schwach gekoppelter Systeme von Reaktions- Diffusions-Gleichungen. (Stabilization of solutions of weakly coupled systems of reaction-diffusion equations). (German) Zbl 0632.35030 Wiss. Z. Tech. Univ. Dres. 35, No. 4, 19-20 (1986). MSC: 35K57 35B40 35B30 35K50 PDF BibTeX XML Cite \textit{W. Kleinig}, Wiss. Z. Tech. Univ. Dres. 35, No. 4, 19--20 (1986; Zbl 0632.35030) OpenURL
Brown, Peter N. Decay to uniform states in food webs. (English) Zbl 0615.92018 SIAM J. Appl. Math. 46, 376-392 (1986). Reviewer: M.Witten MSC: 92D40 35K50 35B35 35B40 PDF BibTeX XML Cite \textit{P. N. Brown}, SIAM J. Appl. Math. 46, 376--392 (1986; Zbl 0615.92018) Full Text: DOI OpenURL
Kishimoto, Kazuo; Weinberger, Hans F. The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains. (English) Zbl 0599.35080 J. Differ. Equations 58, 15-21 (1985). Reviewer: L.Maddalena MSC: 35K50 35B35 35B50 PDF BibTeX XML Cite \textit{K. Kishimoto} and \textit{H. F. Weinberger}, J. Differ. Equations 58, 15--21 (1985; Zbl 0599.35080) Full Text: DOI Link OpenURL
Zygourakis, Kyriacos; Aris, Rutherford Weakly coupled systems of nonlinear elliptic boundary value problems. (English) Zbl 0504.35041 Nonlinear Anal., Theory Methods Appl. 6, 555-569 (1982). MSC: 35J55 35J65 92Exx 80A30 PDF BibTeX XML Cite \textit{K. Zygourakis} and \textit{R. Aris}, Nonlinear Anal., Theory Methods Appl. 6, 555--569 (1982; Zbl 0504.35041) Full Text: DOI OpenURL
Lakshmikantham, V. Some problems of reaction-diffusion equations. (English) Zbl 0461.35049 Nonlinear differential equations: invariance, stability, and bifurcation, Proc. Symp. int. Conf., Trento/Italy 1980, 243-258 (1981). MSC: 35K20 35K55 35A05 35B35 35B05 PDF BibTeX XML OpenURL
Brown, Peter N. Decay to uniform states in ecological interactions. (English) Zbl 0511.92019 SIAM J. Appl. Math. 38, 22-37 (1980). MSC: 92D40 92D25 35K50 35K55 PDF BibTeX XML Cite \textit{P. N. Brown}, SIAM J. Appl. Math. 38, 22--37 (1980; Zbl 0511.92019) Full Text: DOI OpenURL
Tang, Min Ming Some results on a reaction-diffusion system. (English) Zbl 0448.35050 Nonlinear partial differential equations in engineering and applied science, Proc. Conf., Kingston 1979, Lect. Notes Pure Appl. Math. 54, 275-284 (1980). MSC: 35K45 PDF BibTeX XML OpenURL
Gardner, Robert A. Asymptotic behaviour of semilinear reaction-diffusion systems with Dirichlet conditions. (English) Zbl 0404.35013 Indiana Univ. Math. J. (to appear). MSC: 35B40 35B32 35K99 PDF BibTeX XML OpenURL
Lakshmikantham, V.; Vatsala, A. S.; Leela, S. Reaction-diffusion equations in abstract cones. (English) Zbl 0448.35051 Applied nonlinear analysis, Proc. 3rd int. Conf., Arlington/Texas 1978, 219-243 (1979). MSC: 35K55 35B05 34B05 37-XX PDF BibTeX XML OpenURL