Tuma, E.; Sáez, E. Critical domains of a reaction-diffusion equation in a hyperspherical domain. (English) Zbl 0754.35067 Math. Notae 34, 37-54 (1990). Reviewer: S.Jimbo (Tsushima) MSC: 35K57 35B40 35B35 PDFBibTeX XMLCite \textit{E. Tuma} and \textit{E. Sáez}, Math. Notae 34, 37--54 (1990; Zbl 0754.35067)
Todorova, G.; Christov, K. Existence of solutions of semilinear parabolic equations with Hölder nonlinear boundary data. (English) Zbl 0736.35055 C. R. Acad. Bulg. Sci. 43, No. 9, 21-24 (1990). Reviewer: G.Todorova (Sofia) MSC: 35K55 35B40 PDFBibTeX XMLCite \textit{G. Todorova} and \textit{K. Christov}, C. R. Acad. Bulg. Sci. 43, No. 9, 21--24 (1990; Zbl 0736.35055)
Sobreira de Araujo Correa, Francisco Julio A theorem of the Krein-Rutman type for an integro-differential operator. (English) Zbl 0735.35098 Differ. Integral Equ. 3, No. 2, 295-303 (1990). Reviewer: O.John (Praha) MSC: 35P30 35J65 35J25 45K05 35K57 PDFBibTeX XMLCite \textit{F. J. Sobreira de Araujo Correa}, Differ. Integral Equ. 3, No. 2, 295--303 (1990; Zbl 0735.35098)
Colli, Pierluigi; Grasselli, Maurizio Mathematical study of a nonlinear transport-diffusion problem related to muscle contraction. (English) Zbl 0735.35077 Differ. Integral Equ. 3, No. 5, 837-849 (1990). Reviewer: D.G.Costa (Brasilia) MSC: 35K57 35Q72 35A07 74L15 47H10 PDFBibTeX XMLCite \textit{P. Colli} and \textit{M. Grasselli}, Differ. Integral Equ. 3, No. 5, 837--849 (1990; Zbl 0735.35077)
Hess, P.; Weinberger, H. Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses. (English) Zbl 0735.35017 J. Math. Biol. 28, No. 1, 83-98 (1990). Reviewer: G.Moroşanu (Iaşi) MSC: 35B40 35K57 35B35 PDFBibTeX XMLCite \textit{P. Hess} and \textit{H. Weinberger}, J. Math. Biol. 28, No. 1, 83--98 (1990; Zbl 0735.35017) Full Text: DOI
Chen, Xinfu; Friedman, Avner A non-local diffusion equation arising in terminally attached polymer chains. (English) Zbl 0737.35136 Eur. J. Appl. Math. 1, No. 4, 311-326 (1990). Reviewer: J.Kačur (Bratislava) MSC: 35R10 35K57 PDFBibTeX XMLCite \textit{X. Chen} and \textit{A. Friedman}, Eur. J. Appl. Math. 1, No. 4, 311--326 (1990; Zbl 0737.35136) Full Text: DOI
Bronsard, Lia; Kohn, Robert V. On the slowness of phase boundary motion in one space dimension. (English) Zbl 0761.35044 Commun. Pure Appl. Math. 43, No. 8, 983-997 (1990). MSC: 35K55 35K57 80A22 35K20 35K15 PDFBibTeX XMLCite \textit{L. Bronsard} and \textit{R. V. Kohn}, Commun. Pure Appl. Math. 43, No. 8, 983--997 (1990; Zbl 0761.35044) Full Text: DOI
Wegert, E. On the global solvability of the diffusion equation of Satsuma and Mimura. (English) Zbl 0743.35037 Z. Anal. Anwend. 9, No. 4, 313-318 (1990). Reviewer: P.G.Schmidt (Auburn) MSC: 35K57 35B40 35B30 35B50 92D25 35B05 PDFBibTeX XMLCite \textit{E. Wegert}, Z. Anal. Anwend. 9, No. 4, 313--318 (1990; Zbl 0743.35037) Full Text: DOI
Churbanov, V. V. Generalized principle of maximum for semilinear parabolic systems. (English. Russian original) Zbl 0738.35008 Mosc. Univ. Mech. Bull. 45, No. 6, 38-40 (1990); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 6, 81-84 (1990). Reviewer: A.Klíč (Praha) MSC: 35B50 35K55 35K57 35K20 PDFBibTeX XMLCite \textit{V. V. Churbanov}, Mosc. Univ. Mech. Bull. 45, No. 6, 38--40 (1990; Zbl 0738.35008); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 6, 81--84 (1990)
Carr, Jack; Pego, Robert Invariant manifolds for metastable patterns in \(u_ t = \varepsilon{}^ 2 u_{xx} - f(u)\). (English) Zbl 0738.35023 Proc. R. Soc. Edinb., Sect. A 116, No. 1-2, 133-160 (1990). Reviewer: W.Watzlawek (Konstanz) MSC: 35K55 35K57 35B99 58J32 PDFBibTeX XMLCite \textit{J. Carr} and \textit{R. Pego}, Proc. R. Soc. Edinb., Sect. A, Math. 116, No. 1--2, 133--160 (1990; Zbl 0738.35023) Full Text: DOI
Moll, V.; Rosencrans, S. I. Calculation of the threshold surface for nerve equations. (English) Zbl 0743.35036 SIAM J. Appl. Math. 50, No. 5, 1419-1441 (1990). Reviewer: T.Bokareva MSC: 35K57 65M06 92C20 PDFBibTeX XMLCite \textit{V. Moll} and \textit{S. I. Rosencrans}, SIAM J. Appl. Math. 50, No. 5, 1419--1441 (1990; Zbl 0743.35036) Full Text: DOI
Barles, G.; Evans, L. C.; Sougandis, P. E. Wavefront propagation for reaction-diffusion systems of PDE. (English) Zbl 0749.35015 Duke Math. J. 61, No. 3, 835-858 (1990). Reviewer: L.Simon (Budapest) MSC: 35K57 35K55 35B40 35K45 PDFBibTeX XMLCite \textit{G. Barles} et al., Duke Math. J. 61, No. 3, 835--858 (1990; Zbl 0749.35015) Full Text: DOI
Nishiura, Yasumasa; Tsujikawa, Tohru Instability of singularly perturbed Neumann layer solutions in reaction- diffusion systems. (English) Zbl 0735.35009 Hiroshima Math. J. 20, No. 2, 297-329 (1990). Reviewer: P.K.Wong MSC: 35B35 35K57 35J65 PDFBibTeX XMLCite \textit{Y. Nishiura} and \textit{T. Tsujikawa}, Hiroshima Math. J. 20, No. 2, 297--329 (1990; Zbl 0735.35009)
Lui, Roger Existence and stability of travelling wave solutions for an evolutionary ecology model. (English) Zbl 0744.92025 Proc. R. Soc. Edinb., Sect. A 115, No. 1-2, 1-18 (1990). MSC: 92D15 35K57 35Q92 35B35 92D10 PDFBibTeX XMLCite \textit{R. Lui}, Proc. R. Soc. Edinb., Sect. A, Math. 115, No. 1--2, 1--18 (1990; Zbl 0744.92025) Full Text: DOI
Brenier, Yann Une méthode particulaire pour les équations non linéaires de diffusion convection en dimension un. (A particle method for nonlinear one-dimensional diffusion-convection equations). (French) Zbl 0829.65113 J. Comput. Appl. Math. 31, No. 1, 35-56 (1990). Reviewer: S.Gocheva-Ilieva (MR 91k:65129) MSC: 65M06 65M12 35K57 PDFBibTeX XMLCite \textit{Y. Brenier}, J. Comput. Appl. Math. 31, No. 1, 35--56 (1990; Zbl 0829.65113) Full Text: DOI
Ogawa, Toshiyuki Travelling wave solutions to a generalized system of nerve equations. (English) Zbl 0744.92013 Japan J. Appl. Math. 7, No. 2, 255-276 (1990). MSC: 92C20 35Q80 35K57 34K99 34C05 PDFBibTeX XMLCite \textit{T. Ogawa}, Japan J. Appl. Math. 7, No. 2, 255--276 (1990; Zbl 0744.92013) Full Text: DOI
Brown, K. J. (ed.); Lacey, A. A. (ed.) Reaction-diffusion equations. The proceedings of a symposium year on reaction-diffusion equations organized by the Department of Mathematics, Heriot-Watt University, 1987-1988. (English) Zbl 0713.00008 Oxford Science Publications. Oxford: Clarendon Press. x, 224 p. £27.50 (1990). MSC: 00B25 35-06 PDFBibTeX XML
Murray, James Dickson Mathematical biology. Corr. 2nd printing. (English) Zbl 0704.92001 Biomathematics, 19. Berlin etc.: Springer-Verlag. xiv, 767 p. (1990). MSC: 92-01 92C45 92C15 92D25 92D30 92Cxx 92Dxx PDFBibTeX XMLCite \textit{J. D. Murray}, Mathematical biology. Corr. 2nd printing. Berlin etc.: Springer-Verlag (1990; Zbl 0704.92001)
Meinköhn, Dirk (ed.) Dissipative structures in transport processes and combustion. Interdisciplinary seminar, Bielefeld, July 17-21, 1989. (English) Zbl 0716.76007 Springer Series in Synergetics, 48. Berlin etc.: Springer-Verlag. viii, 243 p. DM 110.00 (1990). Reviewer: Zhonglei Wei MSC: 76-06 PDFBibTeX XMLCite \textit{D. Meinköhn} (ed.), Dissipative structures in transport processes and combustion. Interdisciplinary seminar, Bielefeld, July 17-21, 1989. Berlin etc.: Springer-Verlag (1990; Zbl 0716.76007)
Chauvin, B.; Rouault, A. A stochastic simulation for solving scalar reaction-diffusion equations. (English) Zbl 0752.60065 Adv. Appl. Probab. 22, No. 1, 88-100 (1990). MSC: 60J70 60J80 65C05 PDFBibTeX XMLCite \textit{B. Chauvin} and \textit{A. Rouault}, Adv. Appl. Probab. 22, No. 1, 88--100 (1990; Zbl 0752.60065) Full Text: DOI
Vazquez, Juan Luis New selfsimilar solutions of the porous medium equation and the theory of solutions of changing sign. (English) Zbl 0734.35042 Nonlinear Anal., Theory Methods Appl. 15, No. 10, 931-942 (1990). Reviewer: J.Kačur (Bratislava) MSC: 35K57 35B05 76S05 PDFBibTeX XMLCite \textit{J. L. Vazquez}, Nonlinear Anal., Theory Methods Appl. 15, No. 10, 931--942 (1990; Zbl 0734.35042) Full Text: DOI
Nesterov, A. V. The asymptotic forms of the solution of a non-linear problem for a singularly perturbed system of diffusion-absorption equations. (English. Russian original) Zbl 0734.35041 U.S.S.R. Comput. Math. Math. Phys. 30, No. 4, 99-102 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 7, 1103-1107 (1990). Reviewer: S.F.Sburlan (Bucureşti) MSC: 35K57 35B25 35C20 PDFBibTeX XMLCite \textit{A. V. Nesterov}, U.S.S.R. Comput. Math. Math. Phys. 30, No. 4, 99--102 (1990; Zbl 0734.35041); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 7, 1103--1107 (1990) Full Text: DOI
Götz, I. G. On the correctness of a model for phase transitions in binary alloys. (English) Zbl 0734.35005 Eur. J. Appl. Math. 1, No. 4, 327-338 (1990). Reviewer: J.Kačur (Bratislava) MSC: 35B35 35K57 PDFBibTeX XMLCite \textit{I. G. Götz}, Eur. J. Appl. Math. 1, No. 4, 327--338 (1990; Zbl 0734.35005) Full Text: DOI
Shigesada, Nanako On the spatial distributions of dispersing animals. (English) Zbl 0733.92026 Lectures in applied mathematics and informatics, 170-205 (1990). MSC: 92D40 35Q92 35K57 PDFBibTeX XML
Yin, Jingxue On a class of quasilinear parabolic equations of second order with double-degeneracy. (English) Zbl 0733.35065 J. Partial Differ. Equations 3, No. 4, 49-64 (1990). Reviewer: R.Redlinger (Karlsruhe) MSC: 35K65 35K57 35D05 PDFBibTeX XMLCite \textit{J. Yin}, J. Partial Differ. Equations 3, No. 4, 49--64 (1990; Zbl 0733.35065)
Ruan, Weihua Bounded solutions for reaction-diffusion systems with nonlinear boundary conditions. (English) Zbl 0733.35058 Nonlinear Anal., Theory Methods Appl. 14, No. 12, 1051-1077 (1990). Reviewer: J.Hernandez (Madrid) MSC: 35K57 35B45 35B35 47H20 80A20 92D25 PDFBibTeX XMLCite \textit{W. Ruan}, Nonlinear Anal., Theory Methods Appl. 14, No. 12, 1051--1077 (1990; Zbl 0733.35058) Full Text: DOI
Kenmochi, Nobuyuki; Kubo, Masahiro Periodic stability of flow in partially saturated porous media. (English) Zbl 0733.35055 Free boundary value problems, Proc. Conf., Oberwolfach/FRG 1989, Int. Ser. Numer. Math. 95, 127-152 (1990). Reviewer: C.Popa (Iaşi) MSC: 35K57 35K65 76S05 35D05 35B10 35B35 PDFBibTeX XML
Cosner, Chris Eigenvalue problems with indefinite weights and reaction-diffusion models in population dynamics. (English) Zbl 0733.35054 Reaction-diffusion equations, Proc. Symp. Year, Edinburgh/UK 1987-1988, 117-137 (1990). Reviewer: Y.Suyama (Kosugi / Toyama) MSC: 35K57 35P99 92D25 PDFBibTeX XML
Fang, Qing Asymptotic behavior and domain-dependency of solutions to a class of reaction-diffusion systems with large diffusion coefficients. (English) Zbl 0733.35008 Hiroshima Math. J. 20, No. 3, 549-571 (1990). Reviewer: S.Jimbo (Tsushima) MSC: 35B40 35K57 35B30 PDFBibTeX XMLCite \textit{Q. Fang}, Hiroshima Math. J. 20, No. 3, 549--571 (1990; Zbl 0733.35008)
Grundy, R. E.; Peletier, L. A. The initial interface development for a reaction-diffusion equation with power-law initial data. (English) Zbl 0732.76079 Q. J. Mech. Appl. Math. 43, No. 4, 535-559 (1990). Reviewer: P.K.Mahanti (Ranchi) MSC: 76R50 35K57 35K15 PDFBibTeX XMLCite \textit{R. E. Grundy} and \textit{L. A. Peletier}, Q. J. Mech. Appl. Math. 43, No. 4, 535--559 (1990; Zbl 0732.76079) Full Text: DOI
Mimura, Masayasu Patterns, waves and interfaces in excitable reaction-diffusion systems. (English) Zbl 0732.35039 Reaction-diffusion equations, Proc. Symp. Year, Edinburgh/UK 1987-1988, 39-58 (1990). Reviewer: D.Blanchard (Mont-Saint-Aignan) MSC: 35K57 35B40 35R35 35B35 PDFBibTeX XML
Chen, Mufa Ergodic theorems for reaction diffusion processes. (English) Zbl 0731.60098 Chin. Sci. Bull. 35, No. 15, 1316-1317 (1990). Reviewer: M.Chen (Beijing) MSC: 60K35 60J60 PDFBibTeX XMLCite \textit{M. Chen}, Chin. Sci. Bull. 35, No. 15, 1316--1317 (1990; Zbl 0731.60098)
King, J. R. Mathematical analysis of a model for substitutional diffusion. (English) Zbl 0731.35093 Proc. R. Soc. Lond., Ser. A 430, No. 1879, 377-404 (1990). Reviewer: P.Polacik (Bratislava) MSC: 35Q60 35K57 PDFBibTeX XMLCite \textit{J. R. King}, Proc. R. Soc. Lond., Ser. A 430, No. 1879, 377--404 (1990; Zbl 0731.35093) Full Text: DOI
Avrin, Joel D. Solutions with singular initial data for a model of electrophoretic separation. (English) Zbl 0731.35053 Can. Math. Bull. 33, No. 1, 3-10 (1990). Reviewer: J.Hernandez (Madrid) MSC: 35K57 35B25 35L60 PDFBibTeX XMLCite \textit{J. D. Avrin}, Can. Math. Bull. 33, No. 1, 3--10 (1990; Zbl 0731.35053) Full Text: DOI
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 PDFBibTeX XMLCite \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
Busenberg, S. N.; Mahaffy, J. M. Errata to “A compartmental reaction-diffusion cell cycle model”. (English) Zbl 0729.92008 Comput. Math. Appl. 20, No. 7, 73-74 (1990). MSC: 92C40 92C45 35Q92 PDFBibTeX XMLCite \textit{S. N. Busenberg} and \textit{J. M. Mahaffy}, Comput. Math. Appl. 20, No. 7, 73--74 (1990; Zbl 0729.92008) Full Text: DOI
Barbu, Viorel The minimal time function for the nonlinear diffusion equation. (English) Zbl 0729.49008 Libertas Math. 10, 123-130 (1990). Reviewer: G.Gussi (Bucureşti) MSC: 49J20 93C10 35K57 93B05 PDFBibTeX XMLCite \textit{V. Barbu}, Libertas Math. 10, 123--130 (1990; Zbl 0729.49008)
Parekh, N.; Puri, Sanjay A new numerical scheme for the Fisher equation. (English) Zbl 0729.35065 J. Phys. A, Math. Gen. 23, No. 21, L1085-L1091 (1990). MSC: 35K57 92D25 65Z05 PDFBibTeX XMLCite \textit{N. Parekh} and \textit{S. Puri}, J. Phys. A, Math. Gen. 23, No. 21, L1085--L1091 (1990; Zbl 0729.35065) Full Text: DOI
Kochubei, A. N. Fractional-order diffusion. (English. Russian original) Zbl 0729.35064 Differ. Equations 26, No. 4, 485-492 (1990); translation from Differ. Uravn. 26, No. 4, 660-670 (1990). MSC: 35K57 PDFBibTeX XMLCite \textit{A. N. Kochubei}, Differ. Equations 26, No. 4, 485--492 (1990; Zbl 0729.35064); translation from Differ. Uravn. 26, No. 4, 660--670 (1990)
Inamdar, S. R.; Rajani, P.; Kulkarni, B. D. Diffusive instability near Hopf bifurcation for exponentially autocatalyzed reaction-diffusion system. (English) Zbl 0729.35063 J. Phys. A, Math. Gen. 23, No. 24, L1293-L1299 (1990). MSC: 35K57 35B32 PDFBibTeX XMLCite \textit{S. R. Inamdar} et al., J. Phys. A, Math. Gen. 23, No. 24, L1293--L1299 (1990; Zbl 0729.35063) Full Text: DOI
Amann, Herbert Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. (English) Zbl 0729.35062 Differ. Integral Equ. 3, No. 1, 13-75 (1990). Reviewer: A.Tsutsumi (Sakai, Osaka) MSC: 35K57 35K55 35G10 35K25 PDFBibTeX XMLCite \textit{H. Amann}, Differ. Integral Equ. 3, No. 1, 13--75 (1990; Zbl 0729.35062)
Lohéac, Jean-Pierre Une condition aux limites artificielle pour un problème de convection- diffusion. (An artificial boundary condition for an advection-diffusion problem). (French) Zbl 0729.35061 C. R. Acad. Sci., Paris, Sér. I 310, No. 10, 695-698 (1990). MSC: 35K57 PDFBibTeX XMLCite \textit{J.-P. Lohéac}, C. R. Acad. Sci., Paris, Sér. I 310, No. 10, 695--698 (1990; Zbl 0729.35061)
Peletier, L. A. Singular solutions of the porous media equation with absorption. (English) Zbl 0728.35054 Free boundary problems: theory and applications, Proc. Int. Colloq., Irsee/Ger. 1987, Vol. I, Pitman Res. Notes Math. Ser. 185, 183-192 (1990). Reviewer: L.A.Peletier MSC: 35K57 35B40 PDFBibTeX XML Full Text: EuDML
Korten, M. K. Generalized self-similar diffusion in \({\mathbb{R}}^ n\). (English) Zbl 0728.35053 Free boundary problems: theory and applications, Proc. Int. Colloq., Irsee/Ger. 1987, Vol. II, Pitman Res. Notes Math. Ser. 186, 888-892 (1990). Reviewer: M.Korten MSC: 35K57 35R35 PDFBibTeX XML
King, J. R. Exact similarity solutions to some nonlinear diffusion equations. (English) Zbl 0728.35052 J. Phys. A, Math. Gen. 23, No. 16, 3681-3697 (1990). Reviewer: R.Heersink (Graz) MSC: 35K57 35C05 PDFBibTeX XMLCite \textit{J. R. King}, J. Phys. A, Math. Gen. 23, No. 16, 3681--3697 (1990; Zbl 0728.35052) Full Text: DOI
Nicolis, G.; Gaspard, P. Bifurcations, chaos and self-organization in reaction-diffusion systems. (English) Zbl 0728.35010 Continuation and bifurcations: Numerical techniques and applications, Proc. NATO Adv. Res. Workshop, Leuven/Belg. 1989, NATO ASI Ser., Ser. C 313, 43-70 (1990). MSC: 35B32 58E07 35K57 80A30 PDFBibTeX XML
Bobula, Eugeniusz Free boundary problem for the spontaneous diffusion. (English) Zbl 0727.35142 Fasc. Math. 19, 35-38 (1989). MSC: 35R35 35K57 PDFBibTeX XMLCite \textit{E. Bobula}, Fasc. Math. 19, 35--38 (1990; Zbl 0727.35142)
Lin, Zhengguo The solvability of the initial-boundary problem for equations in combustion dynamics with large parameter. (English) Zbl 0727.35112 Acta Math. Sci. 10, No. 3, 281-292 (1990). Reviewer: G.Gussi (Bucureşti) MSC: 35Q35 80A25 35K57 35B30 35B40 PDFBibTeX XMLCite \textit{Z. Lin}, Acta Math. Sci. 10, No. 3, 281--292 (1990; Zbl 0727.35112)
Ebihara, Yukiyoshi On degenerate quasilinear diffusion equations. (English) Zbl 0727.35076 Mat. Apl. Comput. 9, No. 1, 47-58 (1990). Reviewer: A.Tsutsumi (Sakai, Osaka) MSC: 35K65 35K57 PDFBibTeX XMLCite \textit{Y. Ebihara}, Mat. Apl. Comput. 9, No. 1, 47--58 (1990; Zbl 0727.35076)
Bouillet, J. E. Signed solutions to diffusion-heat conduction equations. (English) Zbl 0727.35004 Free boundary problems: theory and applications, Proc. Int. Colloq., Irsee/Ger. 1987, Vol. II, Pitman Res. Notes Math. Ser. 186, 480-485 (1990). Reviewer: J.E.Bouillet MSC: 35B05 35K57 PDFBibTeX XML
Toko, K.; Yamafuji, K. Bifurcation characteristics and spatial patterns in an integro- differential equation. (English) Zbl 0726.47036 Physica D 44, No. 3, 459-470 (1990). MSC: 47G20 37G99 47N20 47J05 PDFBibTeX XMLCite \textit{K. Toko} and \textit{K. Yamafuji}, Physica D 44, No. 3, 459--470 (1990; Zbl 0726.47036) Full Text: DOI
Fasano, Antonio; Primicerio, Mario; Ricci, R. Limiting behaviour of some problems in diffusive penetration. (English) Zbl 0726.35145 Rend. Mat. Appl., VII. Ser. 10, No. 1, 39-57 (1990). Reviewer: S.Tersian (Russe) MSC: 35R35 35K57 35B40 PDFBibTeX XMLCite \textit{A. Fasano} et al., Rend. Mat. Appl., VII. Ser. 10, No. 1, 39--57 (1990; Zbl 0726.35145)
Fife, Paul C.; Geng, Xiao Mathematical aspects of electrophoresis. (English) Zbl 0726.35129 Reaction-diffusion equations, Proc. Symp. Year, Edinburgh/UK 1987-1988, 139-172 (1990). Reviewer: E.Riekstynš (Riga) MSC: 35Q60 35K57 92C50 35Q15 PDFBibTeX XML
Kawanago, Tadashi The behavior of solutions of quasi-linear heat equations. (English) Zbl 0726.35069 Osaka J. Math. 27, No. 4, 769-796 (1990). Reviewer: L.Jantscher (Goslar) MSC: 35K65 35B05 35K57 PDFBibTeX XMLCite \textit{T. Kawanago}, Osaka J. Math. 27, No. 4, 769--796 (1990; Zbl 0726.35069)
Yin, Jingxue On the uniqueness and stability of BV solutions for nonlinear diffusion equations. (English) Zbl 0726.35063 Commun. Partial Differ. Equations 15, No. 12, 1671-1683 (1990). Reviewer: S.Tersian (Russe) MSC: 35K57 35B35 PDFBibTeX XMLCite \textit{J. Yin}, Commun. Partial Differ. Equations 15, No. 12, 1671--1683 (1990; Zbl 0726.35063)
Fitzgibbon, W. E.; Morgan, J. J; Waggoner, S. J. Generalized Lyapunov structure for a class of semilinear parabolic systems. (English) Zbl 0726.35062 J. Math. Anal. Appl. 152, No. 1, 109-130 (1990). Reviewer: M.Wiegner (Bayreuth) MSC: 35K57 35K50 PDFBibTeX XMLCite \textit{W. E. Fitzgibbon} et al., J. Math. Anal. Appl. 152, No. 1, 109--130 (1990; Zbl 0726.35062) Full Text: DOI
Fiedler, Bernold; Poláčik, Peter Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. (English) Zbl 0726.35060 Proc. R. Soc. Edinb., Sect. A 115, No. 1-2, 167-192 (1990). Reviewer: J.Hernandez (Madrid) MSC: 35K57 35R10 35P99 35B40 PDFBibTeX XMLCite \textit{B. Fiedler} and \textit{P. Poláčik}, Proc. R. Soc. Edinb., Sect. A, Math. 115, No. 1--2, 167--192 (1990; Zbl 0726.35060) Full Text: DOI
Alt, Hans Wilhelm; Pawlow, Irena Dynamics of non-isothermal phase separation. (English) Zbl 0726.35058 Free boundary value problems, Proc. Conf., Oberwolfach/FRG 1989, Int. Ser. Numer. Math. 95, 1-26 (1990). Reviewer: S.Tersian (Russe) MSC: 35K57 82B26 PDFBibTeX XML
Brunovský, Pavol The attractor of the scalar reaction diffusion equation is a smooth graph. (English) Zbl 0726.35021 J. Dyn. Differ. Equations 2, No. 3, 293-323 (1990). Reviewer: M.Fila (Bratislava) MSC: 35B40 35K57 PDFBibTeX XMLCite \textit{P. Brunovský}, J. Dyn. Differ. Equations 2, No. 3, 293--323 (1990; Zbl 0726.35021) Full Text: DOI
Price, C. B.; Wambacq, P.; Oosterlinck, A. Computing with reaction-diffusion systems: Application in image processing. (English) Zbl 0725.65103 Continuation and bifurcations: Numerical techniques and applications, Proc. NATO Adv. Res. Workshop, Leuven/Belg. 1989, NATO ASI Ser., Ser. C 313, 379-387 (1990). Reviewer: P.K.Wong (East Lansing) MSC: 65Z05 35B32 35P30 65N25 35K57 PDFBibTeX XML
Fan, Guangwei; Leung, Anthony Existence and stability of periodic solutions for competing species diffusion systems with Dirichlet boundary conditions. (English) Zbl 0725.35051 Appl. Anal. 39, No. 2-3, 119-149 (1990). Reviewer: S.Jimbo (Tsushima) MSC: 35K57 35B10 35B35 PDFBibTeX XMLCite \textit{G. Fan} and \textit{A. Leung}, Appl. Anal. 39, No. 2--3, 119--149 (1990; Zbl 0725.35051) Full Text: DOI
Berestycki, Henri; Larrouturou, Bernard; Roquejoffre, Jean-Michel Stabilité des solutions d’ondes progressives d’un modèle de flamme plissée. (Stability of travelling fronts in a curved flame model). (French) Zbl 0725.35012 C. R. Acad. Sci., Paris, Sér. I 311, No. 12, 769-774 (1990). MSC: 35B35 35K57 80A25 PDFBibTeX XMLCite \textit{H. Berestycki} et al., C. R. Acad. Sci., Paris, Sér. I 311, No. 12, 769--774 (1990; Zbl 0725.35012)
de Mottoni, P.; Schatzman, M. Development of interfaces in \({\mathbb{R}}^ N\). (English) Zbl 0725.35009 Proc. R. Soc. Edinb., Sect. A 116, No. 3-4, 207-220 (1990). Reviewer: S.Jimbo (Tsushima) MSC: 35B05 35K57 35B30 PDFBibTeX XMLCite \textit{P. de Mottoni} and \textit{M. Schatzman}, Proc. R. Soc. Edinb., Sect. A, Math. 116, No. 3--4, 207--220 (1990; Zbl 0725.35009) Full Text: DOI
Tasheva, B. Method for the analysis of chemical processes in the plane domain. (English) Zbl 0724.65119 Syst. Anal. Modelling Simulation 7, No. 7, 578-582 (1990). Reviewer: T.Sonar (Stuttgart) MSC: 65Z05 65N35 65N06 80A30 35K57 35Q72 PDFBibTeX XMLCite \textit{B. Tasheva}, Syst. Anal. Modell. Simul. 7, No. 7, 578--582 (1990; Zbl 0724.65119)
Stakgold, I. Localization and extinction in reaction-diffusion. (English) Zbl 0724.35054 Free boundary problems: theory and applications, Proc. Int. Colloq., Irsee/Ger. 1987, Vol. I, Pitman Res. Notes Math. Ser. 185, 208-221 (1990). Reviewer: I.Stakgold MSC: 35K57 35J65 35B05 80A25 PDFBibTeX XML
Kosygina, E. R. On the Cauchy problem in classes of increasing functions for the diffusion equation decelerated under extension of the density. (Russian) Zbl 0724.35053 Mat. Zametki 48, No. 5, 146-148 (1990). Reviewer: W.Okrasinski (Wrocław) MSC: 35K57 35D05 PDFBibTeX XMLCite \textit{E. R. Kosygina}, Mat. Zametki 48, No. 5, 146--148 (1990; Zbl 0724.35053)
Kolesov, A. Yu. Bifurcation of periodic solutions of a codimension one set of singularly perturbed parabolic systems. (English. Russian original) Zbl 0724.35052 Ukr. Math. J. 42, No. 8, 925-930 (1990); translation from Ukr. Mat. Zh. 42, No. 8, 1037-1042 (1990). MSC: 35K57 35B10 35B32 35K40 PDFBibTeX XMLCite \textit{A. Yu. Kolesov}, Ukr. Math. J. 42, No. 8, 925--930 (1990; Zbl 0724.35052); translation from Ukr. Mat. Zh. 42, No. 8, 1037--1042 (1990) Full Text: DOI
Kashchenko, S. A. Asymptotic behaviour of rapidly oscillating contrasting spatial structures. (English. Russian original) Zbl 0724.35012 U.S.S.R. Comput. Math. Math. Phys. 30, No. 1, 186-197 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 2, 254-269 (1990). MSC: 35B25 35B30 35K57 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, U.S.S.R. Comput. Math. Math. Phys. 30, No. 1, 186--197 (1990; Zbl 0724.35012); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 2, 254--269 (1990) Full Text: DOI
Britton, N. F. Spatial structures and periodic travelling waves in an integro- differential reaction-diffusion population model. (English) Zbl 0723.92019 SIAM J. Appl. Math. 50, No. 6, 1663-1688 (1990). Reviewer: J.M.Cushing (Tucson) MSC: 92D25 35K57 35Q92 92D40 35B32 45K05 PDFBibTeX XMLCite \textit{N. F. Britton}, SIAM J. Appl. Math. 50, No. 6, 1663--1688 (1990; Zbl 0723.92019) Full Text: DOI
Colli Franzone, Piero; Guerri, Luciano; Tentoni, Stefania Mathematical modeling of the excitation process in myocardial tissue: Influence of fiber rotation on wavefront propagation and potential field. (English) Zbl 0723.92007 Math. Biosci. 101, No. 2, 155-235 (1990). Reviewer: J.Cronin (New Brunswick) MSC: 92C30 35B25 35Q92 35K57 65C20 PDFBibTeX XMLCite \textit{P. Colli Franzone} et al., Math. Biosci. 101, No. 2, 155--235 (1990; Zbl 0723.92007) Full Text: DOI
Morgan, Jeff Boundedness and decay results for reaction-diffusion systems. (English) Zbl 0723.35039 SIAM J. Math. Anal. 21, No. 5, 1172-1189 (1990). Reviewer: G.Hetzer (Auburn) MSC: 35K57 35B35 35K45 PDFBibTeX XMLCite \textit{J. Morgan}, SIAM J. Math. Anal. 21, No. 5, 1172--1189 (1990; Zbl 0723.35039) Full Text: DOI
Andreucci, D.; DiBenedetto, Emmanuele A new approach to initial traces in nonlinear filtration. (English) Zbl 0723.35014 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 7, No. 4, 305-334 (1990). Reviewer: P.G.Schmidt (Auburn) MSC: 35B45 35K57 76S05 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{E. DiBenedetto}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 7, No. 4, 305--334 (1990; Zbl 0723.35014) Full Text: DOI Numdam EuDML
Terman, David Stability of planar wave solutions to a combustion model. (English) Zbl 0723.35011 SIAM J. Math. Anal. 21, No. 5, 1139-1171 (1990). Reviewer: G.Hetzer (Auburn) MSC: 35B35 35K57 80A25 PDFBibTeX XMLCite \textit{D. Terman}, SIAM J. Math. Anal. 21, No. 5, 1139--1171 (1990; Zbl 0723.35011) Full Text: DOI
Krasucki, F.; Planchard, J. Homogénéisation d’un problème de diffusion d’un matériau finement perforé dans un cas de périodicité nonstandard. (Homogenization of a diffusion problem for a domain with many holes distributed with a non standard periodicity). (French) Zbl 0722.73005 Bull. Dir. Etud. Rech., Sér. C 1990, No. 1, 13-21 (1990). Reviewer: M.Codegone (Torino) MSC: 74E05 35B27 35K57 35K85 PDFBibTeX XMLCite \textit{F. Krasucki} and \textit{J. Planchard}, Bull. Dir. Étud. Rech., Sér. C 1990, No. 1, 13--21 (1990; Zbl 0722.73005)
Twizell, E. H.; Wang, Yigong; Price, W. G. Chaos-free numerical solutions of reaction-diffusion equations. (English) Zbl 0722.65051 Proc. R. Soc. Lond., Ser. A 430, No. 1880, 541-576 (1990). Reviewer: K.Burrage (Brisbane) MSC: 65M12 65M06 35K57 PDFBibTeX XMLCite \textit{E. H. Twizell} et al., Proc. R. Soc. Lond., Ser. A 430, No. 1880, 541--576 (1990; Zbl 0722.65051) Full Text: DOI
Martin, R. H. jun.; Smith, H. L. Abstract functional differential equations and reaction-diffusion systems. (English) Zbl 0722.35046 Trans. Am. Math. Soc. 321, No. 1, 1-44 (1990). Reviewer: R.Saxton (New Orleans) MSC: 35K57 35R10 PDFBibTeX XMLCite \textit{R. H. Martin jun.} and \textit{H. L. Smith}, Trans. Am. Math. Soc. 321, No. 1, 1--44 (1990; Zbl 0722.35046) Full Text: DOI
Wang, Junyu A free boundary problem for a generalized diffusion equation. (English) Zbl 0721.35092 Nonlinear Anal., Theory Methods Appl. 14, No. 8, 691-700 (1990). Reviewer: M.Capinski (Kraków) MSC: 35R35 35K57 PDFBibTeX XMLCite \textit{J. Wang}, Nonlinear Anal., Theory Methods Appl. 14, No. 8, 691--700 (1990; Zbl 0721.35092) Full Text: DOI
Babin, A. V.; Vishik, M. I. Attractors of partial differential evolution equations in an unbounded domain. (English) Zbl 0721.35029 Proc. R. Soc. Edinb., Sect. A 116, No. 3-4, 221-243 (1990). Reviewer: R.Redlinger (Karlsruhe) MSC: 35K57 35B40 47H20 PDFBibTeX XMLCite \textit{A. V. Babin} and \textit{M. I. Vishik}, Proc. R. Soc. Edinb., Sect. A, Math. 116, No. 3--4, 221--243 (1990; Zbl 0721.35029) Full Text: DOI
Avrin, Joel D. Decay and boundedness results for a model of laminar flames with complex chemistry. (English) Zbl 0721.35028 Proc. Am. Math. Soc. 110, No. 4, 989-995 (1990). Reviewer: S.Tersian (Russe) MSC: 35K57 35B40 80A30 35B05 35B50 PDFBibTeX XMLCite \textit{J. D. Avrin}, Proc. Am. Math. Soc. 110, No. 4, 989--995 (1990; Zbl 0721.35028) Full Text: DOI
Winters, K. H.; Myerscough, M. R.; Maini, P. K.; Murray, J. D. Tracking bifurcating solutions of a model biological pattern generator. (English) Zbl 0719.92005 IMPACT Comput. Sci. Eng. 2, No. 4, 355-371 (1990). Reviewer: P.Kůrka (Praha) MSC: 92C15 65N30 PDFBibTeX XMLCite \textit{K. H. Winters} et al., IMPACT Comput. Sci. Eng. 2, No. 4, 355--371 (1990; Zbl 0719.92005) Full Text: DOI Link
Morro, A.; Straughan, B. Equations for reacting viscous fluids near chemical equilibrium. (English) Zbl 0719.76078 Riv. Mat. Univ. Parma, IV. Ser. 16, 173-182 (1990). MSC: 76V05 35K57 76T99 80A32 PDFBibTeX XMLCite \textit{A. Morro} and \textit{B. Straughan}, Riv. Mat. Univ. Parma, IV. Ser. 16, 173--182 (1990; Zbl 0719.76078)
King, J. R. Some non-local transformations between nonlinear diffusion equations. (English) Zbl 0719.35042 J. Phys. A, Math. Gen. 23, No. 23, 5441-5464 (1990). MSC: 35K57 58J72 PDFBibTeX XMLCite \textit{J. R. King}, J. Phys. A, Math. Gen. 23, No. 23, 5441--5464 (1990; Zbl 0719.35042) Full Text: DOI
Fila, Marek; Filo, Ján Global behaviour of solutions to some nonlinear diffusion equations. (English) Zbl 0719.35041 Czech. Math. J. 40(115), No. 2, 226-238 (1990). Reviewer: R.Sperb (Zürich) MSC: 35K57 35B40 PDFBibTeX XMLCite \textit{M. Fila} and \textit{J. Filo}, Czech. Math. J. 40(115), No. 2, 226--238 (1990; Zbl 0719.35041) Full Text: EuDML
Borzi, C.; Frisch, H. L.; Gianotti, R.; Percus, J. K. Inverse solution for some travelling-wave reaction-diffusion problems. (English) Zbl 0719.35039 J. Phys. A, Math. Gen. 23, No. 21, 4823-4830 (1990). MSC: 35K57 35C05 PDFBibTeX XMLCite \textit{C. Borzi} et al., J. Phys. A, Math. Gen. 23, No. 21, 4823--4830 (1990; Zbl 0719.35039) Full Text: DOI
Kichenassamy, Satyanad; Smoller, Joel On the existence of radial solutions of quasi-linear elliptic equations. (English) Zbl 0719.35027 Nonlinearity 3, No. 3, 677-694 (1990). Reviewer: J.Madjarova (Sofia) MSC: 35J65 35J20 35K57 34C11 37J99 PDFBibTeX XMLCite \textit{S. Kichenassamy} and \textit{J. Smoller}, Nonlinearity 3, No. 3, 677--694 (1990; Zbl 0719.35027) Full Text: DOI
Gray, P.; Merkin, J. H.; Needham, D. J.; Scott, S. K. The development of travelling waves in a simple isothermal chemical system. III: Cubic and mixed autocatalysis. (English) Zbl 0718.92030 Proc. R. Soc. Lond., Ser. A 430, No. 1880, 509-524 (1990). Reviewer: D.Dorninger MSC: 92E20 80A30 65M12 PDFBibTeX XMLCite \textit{P. Gray} et al., Proc. R. Soc. Lond., Ser. A 430, No. 1880, 509--524 (1990; Zbl 0718.92030) Full Text: DOI
Vastano, John A.; Russo, Thomas; Swinney, Harry L. Bifurcation to spatially induced chaos in a reaction-diffusion system. (English) Zbl 0718.92028 Physica D 46, No. 1, 23-42 (1990). Reviewer: G.V.Khmelevskaja Plotnikova MSC: 92E20 35Q92 80A50 35K57 80A30 PDFBibTeX XMLCite \textit{J. A. Vastano} et al., Physica D 46, No. 1, 23--42 (1990; Zbl 0718.92028) Full Text: DOI
Mejia, Raymond Interactive program for continuation of solutions of large systems of nonlinear equations. (English) Zbl 0718.65040 Computational solution of nonlinear systems of equations, Proc. SIAM-AMS Summer Semin., Ft. Collins/CO (USA) 1988, Lect. Appl. Math. 26, 429-449 (1990). Reviewer: E.Allgower (Fort Collins) MSC: 65H10 65H20 80A32 92E20 65M06 65N06 65N22 PDFBibTeX XML
Yamada, Yoshio; Yotsutani, Shoji A mathematical model on chemical interfacial reactions. (English) Zbl 0718.35048 Japan J. Appl. Math. 7, No. 3, 369-398 (1990). Reviewer: S.Jimbo (Tsushima) MSC: 35K57 80A30 PDFBibTeX XMLCite \textit{Y. Yamada} and \textit{S. Yotsutani}, Japan J. Appl. Math. 7, No. 3, 369--398 (1990; Zbl 0718.35048) Full Text: DOI
Guan, Ping On asymptotic behavior of time-dependent solutions to a kind of semiconductor equations. (English) Zbl 0718.35016 J. Southeast Univ., Engl. Ed. 6, No. 1, 13-19 (1990). MSC: 35B40 35Q60 35K57 PDFBibTeX XMLCite \textit{P. Guan}, J. Southeast Univ., Engl. Ed. 6, No. 1, 13--19 (1990; Zbl 0718.35016)
de Graaf, J. M. A system of reaction-diffusion equations: Convergence towards the stationary solution. (English) Zbl 0718.35013 Nonlinear Anal., Theory Methods Appl. 15, No. 3, 253-267 (1990). Reviewer: S.Jimbo (Tsushima) MSC: 35B40 35K57 92C40 PDFBibTeX XMLCite \textit{J. M. de Graaf}, Nonlinear Anal., Theory Methods Appl. 15, No. 3, 253--267 (1990; Zbl 0718.35013) Full Text: DOI
Kokubu, Hiroshi; Nishiura, Yasumasa; Oka, Hiroe Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems. (English) Zbl 0718.35010 J. Differ. Equations 86, No. 2, 260-341 (1990). Reviewer: N.A.Lar’kin (Novosibirsk) MSC: 35B32 35K57 PDFBibTeX XMLCite \textit{H. Kokubu} et al., J. Differ. Equations 86, No. 2, 260--341 (1990; Zbl 0718.35010) Full Text: DOI
Petkov, Vesselin M. Diffusion phase for some restricted perturbations. (Phase de diffusion pour des perturbations captives.) (French) Zbl 0718.35007 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1990, No. 5, 10 p. (1990). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35B20 35K57 PDFBibTeX XML Full Text: Numdam EuDML
Chen, Pei-Li Asymptotic behavior and steady state solutions of a myelinated axon model with Fitzhugh-Nagumo dynamics. (English) Zbl 0717.92009 Math. Comput. Modelling 13, No. 8, 43-56 (1990). Reviewer: T.V.Kostova-Vassilevska MSC: 92C20 35B35 35K57 PDFBibTeX XMLCite \textit{P.-L. Chen}, Math. Comput. Modelling 13, No. 8, 43--56 (1990; Zbl 0717.92009) Full Text: DOI
Bayliss, A.; Kuske, R.; Matkowsky, B. J. A two-dimensional adaptive pseudo-spectral method. (English) Zbl 0717.65074 J. Comput. Phys. 91, No. 1, 174-196 (1990). Reviewer: J.D.P.Donnelly MSC: 65M70 65M50 35K57 80A25 PDFBibTeX XMLCite \textit{A. Bayliss} et al., J. Comput. Phys. 91, No. 1, 174--196 (1990; Zbl 0717.65074) Full Text: DOI
Holodniok, M.; Kubíček, M. Numerical aspects of computation of periodic and quasiperiodic solutions in systems of partial differential equations. (English) Zbl 0717.65068 Differential equations and their applications, Proc. 7th Conf., Equadiff 7, Prague/Czech. 1989, Teubner-Texte Math. 118, 260-264 (1990). Reviewer: E.Krause MSC: 65M20 35B10 35B32 35K57 PDFBibTeX XML
Waller, Sergio M. Isogroup and ‘general’ similarity solution of a nonlinear diffusion equation. (English) Zbl 0717.58059 J. Phys. A, Math. Gen. 23, No. 7, 1035-1040 (1990). Reviewer: S.Eloshvili MSC: 58J65 35K57 PDFBibTeX XMLCite \textit{S. M. Waller}, J. Phys. A, Math. Gen. 23, No. 7, 1035--1040 (1990; Zbl 0717.58059) Full Text: DOI
Dell’Antonio, G. F. Stochastic stability for vector fields with a manifold of singular points, and an application to lattice gauge theory. (English) Zbl 0717.58057 Stochastic processes and their applications in mathematics and physics, Proc. 3rd Symp., Bielefeld/Ger. 1985, Math. Appl. 61, 1-20 (1990). Reviewer: S.Eloshvili MSC: 58J65 35K57 PDFBibTeX XML
Livi, R.; Martínez-Mekler, G.; Ruffo, S. Periodic orbits and long transients in coupled map lattices. (English) Zbl 0717.58030 Physica D 45, No. 1-3, 452-460 (1990). Reviewer: N.Papaghiuc MSC: 37B99 35K57 37C70 PDFBibTeX XMLCite \textit{R. Livi} et al., Physica D 45, No. 1--3, 452--460 (1990; Zbl 0717.58030) Full Text: DOI
Vuillermot, Pierre-A. Attracteurs presque-périodiques pour une classe d’équations paraboliques non linéaires du type réaction-diffusion sur \({\mathbb{R}}^ N\). (Almost-periodic attractors for a class of nonlinear parabolic reaction-diffusion equations on \({\mathbb{R}}^ N)\). (French) Zbl 0717.35008 C. R. Acad. Sci., Paris, Sér. I 311, No. 10, 583-588 (1990). MSC: 35B35 35K57 92D25 PDFBibTeX XMLCite \textit{P.-A. Vuillermot}, C. R. Acad. Sci., Paris, Sér. I 311, No. 10, 583--588 (1990; Zbl 0717.35008)