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)
Petrovskii, Sergei V.; Malchow, Horst Spatio-temporal chaos in an ecological community as a response to unfavourable environmental changes. (English) Zbl 1026.37070 Adv. Complex Syst. 4, No. 2-3, 227-249 (2001). MSC: 37N25 92D25 35Q80 35K57 37D45 92D40 PDFBibTeX XMLCite \textit{S. V. Petrovskii} and \textit{H. Malchow}, Adv. Complex Syst. 4, No. 2--3, 227--249 (2001; Zbl 1026.37070) Full Text: DOI
Dernov, A. V. Regular dynamics and diffusion chaos in the Brusselator model. (English. Russian original) Zbl 1017.37044 Differ. Equ. 37, No. 11, 1631-1633 (2001); translation from Differ. Uravn. 37, No. 11, 1554-1556 (2001). Reviewer: Boris V.Loginov (Ulyanovsk) MSC: 37N25 35K57 92E20 PDFBibTeX XMLCite \textit{A. V. Dernov}, Differ. Equ. 37, No. 11, 1631--1633 (2001; Zbl 1017.37044); translation from Differ. Uravn. 37, No. 11, 1554--1556 (2001) Full Text: DOI
Kraenkel, R. A.; Senthilvelan, M. Symmetry analysis of an integrable reaction-diffusion equation. (English) Zbl 1015.35006 Chaos Solitons Fractals 12, No. 3, 463-474 (2001). Reviewer: Boris V.Loginov (Ulyanovsk) MSC: 35A30 35K40 35K57 37K10 58J70 PDFBibTeX XMLCite \textit{R. A. Kraenkel} and \textit{M. Senthilvelan}, Chaos Solitons Fractals 12, No. 3, 463--474 (2001; Zbl 1015.35006) Full Text: DOI
Li, Congming; Wright, Eric S. Modeling chemical reactions in rivers: A three component reaction. (English) Zbl 1010.80013 Discrete Contin. Dyn. Syst. 7, No. 2, 377-384 (2001). MSC: 80A32 35K57 35B35 86A05 PDFBibTeX XMLCite \textit{C. Li} and \textit{E. S. Wright}, Discrete Contin. Dyn. Syst. 7, No. 2, 377--384 (2001; Zbl 1010.80013) Full Text: DOI
Rencławowicz, Joanna Global and blowing up solutions of reaction-diffusion systems. (English) Zbl 1029.35131 Kenmochi, N. (ed.) et al., Proceedings of the 2nd Polish-Japanese days on mathematical aspects of modelling structure formation phenomena, Bȩdlewo/Warsaw, Poland, November 18-26, 2000. Tokyo: Gakkōtosho Co., Ltd. GAKUTO Int. Ser., Math. Sci. Appl. 17, 64-78 (2001). Reviewer: M.Fila (Bratislava) MSC: 35K57 35B40 35K55 35K45 PDFBibTeX XMLCite \textit{J. Rencławowicz}, GAKUTO Int. Ser., Math. Sci. Appl. 17, 64--78 (2001; Zbl 1029.35131)
Wang, Yi; Jiang, Jifa The convergence of a class of quasimonotone reaction-diffusion systems. (English) Zbl 1021.35019 J. Lond. Math. Soc., II. Ser. 64, No. 2, 395-408 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35B40 35K57 35K50 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. Jiang}, J. Lond. Math. Soc., II. Ser. 64, No. 2, 395--408 (2001; Zbl 1021.35019) Full Text: DOI
Pao, C. V. Finite difference solutions of reaction diffusion equations with continuous time delays. (English) Zbl 1001.65096 Comput. Math. Appl. 42, No. 3-5, 399-412 (2001). Reviewer: D.Bobrowski (Poznań) MSC: 65M06 35K57 PDFBibTeX XMLCite \textit{C. V. Pao}, Comput. Math. Appl. 42, No. 3--5, 399--412 (2001; Zbl 1001.65096) Full Text: DOI
Chen, Songlin The extinction behavior of the solutions for a class of reaction-diffusion equations. (English. Chinese original) Zbl 1042.35024 Appl. Math. Mech., Engl. Ed. 22, No. 11, 1352-1356 (2001); translation from Appl. Math. Mech. 22, No. 11, 1217-1220 (2001). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K57 92C17 PDFBibTeX XMLCite \textit{S. Chen}, Appl. Math. Mech., Engl. Ed. 22, No. 11, 1352--1356 (2001; Zbl 1042.35024); translation from Appl. Math. Mech. 22, No. 11, 1217--1220 (2001) Full Text: DOI
Yang, Yin; Chen, Hua; Liu, Weian On existence of global solutions and blow-up to a system of reaction-diffusion equations modelling chemotaxis. (English) Zbl 1029.35132 SIAM J. Math. Anal. 33, No. 4, 763-785 (2001). Reviewer: G.H.Sweers (Delft) MSC: 35K57 35K55 92C17 92C45 PDFBibTeX XMLCite \textit{Y. Yang} et al., SIAM J. Math. Anal. 33, No. 4, 763--785 (2001; Zbl 1029.35132) Full Text: DOI
Logan, J. David Approximate wave fronts in a class of reaction-diffusion equations. (English) Zbl 0987.35080 Commun. Appl. Nonlinear Anal. 8, No. 2, 23-30 (2001). MSC: 35K57 35B25 92D40 35A18 PDFBibTeX XMLCite \textit{J. D. Logan}, Commun. Appl. Nonlinear Anal. 8, No. 2, 23--30 (2001; Zbl 0987.35080)
Yang, Zuodong; Lu, Qishao Nonexistence of positive solutions to a quasilinear elliptic system and blow-up estimates for a non-Newtonian filtration system. (English) Zbl 0992.35033 J. Henan Norm. Univ., Nat. Sci. 29, No. 4, 122-123 (2001). MSC: 35J45 35B99 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{Q. Lu}, J. Henan Norm. Univ., Nat. Sci. 29, No. 4, 122--123 (2001; Zbl 0992.35033)
Bonami, A.; Hilhorst, D.; Logak, E.; Mimura, M. Singular limit of a chemotaxis-growth model. (English) Zbl 1016.35034 Adv. Differ. Equ. 6, No. 10, 1173-1218 (2001). Reviewer: Sebastian Aniţa (Iaşi) MSC: 35K57 92C17 35B25 35B50 35R35 92C15 PDFBibTeX XMLCite \textit{A. Bonami} et al., Adv. Differ. Equ. 6, No. 10, 1173--1218 (2001; Zbl 1016.35034)
Wang, Yuanming Asymptotic behavior of the numerical solutions for a system of nonlinear integrodifferential reaction-diffusion equations. (English) Zbl 0994.65150 Appl. Numer. Math. 39, No. 2, 205-223 (2001). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45G10 45K05 PDFBibTeX XMLCite \textit{Y. Wang}, Appl. Numer. Math. 39, No. 2, 205--223 (2001; Zbl 0994.65150) Full Text: DOI
Büger, Matthias Fixed points and periodic orbits for a class of symmetric autonomous reaction-diffusion systems. (English) Zbl 1002.35055 Mitt. Math. Semin. Gießen 246, 12-47 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35K50 35K57 37C25 37G40 PDFBibTeX XMLCite \textit{M. Büger}, Mitt. Math. Semin. Gießen 246, 12--47 (2001; Zbl 1002.35055)
Rodrigo, M.; Mimura, M. Exact solutions of reaction-diffusion systems and nonlinear wave equations. (English) Zbl 0987.35030 Japan J. Ind. Appl. Math. 18, No. 3, 657-696 (2001). Reviewer: Valery V.Karachik (Tashkent) MSC: 35C05 35Q53 35Q51 35K57 PDFBibTeX XMLCite \textit{M. Rodrigo} and \textit{M. Mimura}, Japan J. Ind. Appl. Math. 18, No. 3, 657--696 (2001; Zbl 0987.35030) Full Text: DOI
Amann, Herbert; Weber, Frank On a quasilinear coagulation-fragmentation model with diffusion. (English) Zbl 0984.76092 Adv. Math. Sci. Appl. 11, No. 1, 227-263 (2001). MSC: 76T20 76R50 35Q35 PDFBibTeX XMLCite \textit{H. Amann} and \textit{F. Weber}, Adv. Math. Sci. Appl. 11, No. 1, 227--263 (2001; Zbl 0984.76092)
Amraoui, S.; Lalaoui Rahali, S. Monotonicity for some reaction-diffusion systems with delay and Dirichlet boundary conditions. (English) Zbl 0983.35145 Faria, Teresa (ed.) et al., Topics in functional differential and difference equations. Papers of the conference on functional differential and difference equations, Lisbon, Portugal, July 26-30, 1999. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 29, 1-10 (2001). Reviewer: Stephan Paul Banks (Sheffield) MSC: 35R10 35K57 PDFBibTeX XMLCite \textit{S. Amraoui} and \textit{S. Lalaoui Rahali}, Fields Inst. Commun. 29, 1--10 (2001; Zbl 0983.35145)
Pilyugin, S. Yu. Shadowing in the Chafee-Infante problem. (English. Russian original) Zbl 1183.37041 St. Petersbg. Math. J. 12, No. 4, 681-711 (2001); translation from Algebra Anal. 12, No. 4, 231-272 (2001). MSC: 37C50 37L30 35B41 35K57 PDFBibTeX XMLCite \textit{S. Yu. Pilyugin}, St. Petersbg. Math. J. 12, No. 4, 681--711 (2001; Zbl 1183.37041); translation from Algebra Anal. 12, No. 4, 231--272 (2001)
Yang, Qing Numerical methods and analysis for some reaction-diffusion system. (Chinese. English summary) Zbl 0973.65069 J. Eng. Math., Xi’an 18, No. 1, 33-38 (2001). MSC: 65M06 76S05 76M10 76M20 65M15 35K57 65M60 PDFBibTeX XMLCite \textit{Q. Yang}, J. Eng. Math., Xi'an 18, No. 1, 33--38 (2001; Zbl 0973.65069)
Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming On diffusion-induced blowups in a mutualistic model. (English) Zbl 0980.35059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 3, 329-342 (2001). Reviewer: Dian K.Palagachev (Bari) MSC: 35K50 92D40 35B40 35K57 PDFBibTeX XMLCite \textit{Y. Lou} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 3, 329--342 (2001; Zbl 0980.35059) Full Text: DOI
Boushaba, Khalid; Ruan, Shigui Instability in diffusive ecolocical models with nonlocal delay effects. (English) Zbl 0982.35117 J. Math. Anal. Appl. 258, No. 1, 269-286 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35R10 92D40 35K57 PDFBibTeX XMLCite \textit{K. Boushaba} and \textit{S. Ruan}, J. Math. Anal. Appl. 258, No. 1, 269--286 (2001; Zbl 0982.35117) Full Text: DOI
Ohta, Takao Pulse dynamics in a reaction-diffusion system. (English) Zbl 0982.35051 Physica D 151, No. 1, 61-72 (2001). MSC: 35K57 35B25 35B32 35B35 PDFBibTeX XMLCite \textit{T. Ohta}, Physica D 151, No. 1, 61--72 (2001; Zbl 0982.35051) Full Text: DOI
Chien, C.-S.; Liao, Y. S. Multiple bifurcations generated by mode interactions in a reaction-diffusion problem. (English) Zbl 1010.65034 J. Comput. Appl. Math. 130, No. 1-2, 345-368 (2001). MSC: 65M06 65M12 35B32 35K57 PDFBibTeX XMLCite \textit{C. S. Chien} and \textit{Y. S. Liao}, J. Comput. Appl. Math. 130, No. 1--2, 345--368 (2001; Zbl 1010.65034) Full Text: DOI
Ham, Yoonmee An interface problem in an activator-inhibitor system depending on the spatial average of an inhibitor. (English) Zbl 0986.35118 Far East J. Math. Sci. (FJMS) 3, No. 2, 273-286 (2001). Reviewer: René Sperb (Zürich) MSC: 35Q80 92E20 35B32 35B25 35K57 PDFBibTeX XMLCite \textit{Y. Ham}, Far East J. Math. Sci. (FJMS) 3, No. 2, 273--286 (2001; Zbl 0986.35118)
Farkas, M. On time-periodic patterns. (English) Zbl 0994.35060 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 5, 669-678 (2001). Reviewer: Ion Onciulescu (Iaşi) MSC: 35K57 35B10 35B35 PDFBibTeX XMLCite \textit{M. Farkas}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 5, 669--678 (2001; Zbl 0994.35060) Full Text: DOI
Chepyzhov, V. V.; Ilyin, A. A. A note on the fractal dimension of attractors of dissipative dynamical systems. (English) Zbl 1153.37438 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 6, 811-819 (2001). MSC: 37L30 35B41 47H20 PDFBibTeX XMLCite \textit{V. V. Chepyzhov} and \textit{A. A. Ilyin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 6, 811--819 (2001; Zbl 1153.37438) Full Text: DOI
Ramos, J. I.; Soler, E. Domain decomposition techniques for reaction-diffusion equations in two-dimensional regions with re-entrant corners. (English) Zbl 1023.65101 Appl. Math. Comput. 118, No. 2-3, 189-221 (2001). MSC: 65M55 35K57 65M06 PDFBibTeX XMLCite \textit{J. I. Ramos} and \textit{E. Soler}, Appl. Math. Comput. 118, No. 2--3, 189--221 (2001; Zbl 1023.65101) Full Text: DOI
Novo, Julia; Titi, Edriss S.; Wynne, Shannon Efficient methods using high accuracy approximate inertial manifolds. (English) Zbl 0972.65069 Numer. Math. 87, No. 3, 523-554 (2001). Reviewer: Dinh Nho Hao (Frankfurt am Main) MSC: 65M60 35K57 65M15 PDFBibTeX XMLCite \textit{J. Novo} et al., Numer. Math. 87, No. 3, 523--554 (2001; Zbl 0972.65069) Full Text: DOI