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35K57 Reaction-diffusion equations (71 articles)

• Janovský, Vladimír: Analysis of pattern formation using numerical continuation. (English). Applications of Mathematics, vol. 67 (2022), issue 6, pp. 705-726
• Dammak, Makkia; Amor Ben Ali, Abir; Taarabti, Said: Positive solutions for concave-convex elliptic problems involving $p(x)$-Laplacian. (English). Mathematica Bohemica, vol. 147 (2022), issue 2, pp. 155-168
• Slavík, Jakub: Attractors for stochastic reaction-diffusion equation with additive homogeneous noise. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 21-43
• Boussandel, Sahbi: Existence and uniqueness of solutions for gradient systems without a compactness embedding condition. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 3, pp. 637-651
• Stehlík, Petr; Volek, Jonáš: Nonuniqueness of implicit lattice Nagumo equation. (English). Applications of Mathematics, vol. 64 (2019), issue 2, pp. 169-194
• Boussandel, Sahbi: Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications. (English). Applications of Mathematics, vol. 63 (2018), issue 4, pp. 423-437
• Boussandel, Sahbi: Existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces with anti-periodic boundary conditions. (English). Applications of Mathematics, vol. 63 (2018), issue 5, pp. 523-539
• Yousefnezhad, Mohsen; Mohammadi, Seyyed Abbas; Bozorgnia, Farid: A free boundary problem for a predator-prey model with nonlinear prey-taxis. (English). Applications of Mathematics, vol. 63 (2018), issue 2, pp. 125-147
• Jüngel, Ansgar: Cross-Diffusion Systems with Entropy Structure. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 181-190
• Kruck, Amina; Reitmann, Volker: Upper Hausdorff dimension estimates for invariant sets of evolutionary systems on Hilbert manifolds. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 247-254
• Rezounenko, Alexander V.: Viral infection model with diffusion and state-dependent delay: a case of logistic growth. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 53-60
• Kettani, Perla El; Hilhorst, Danielle; Lee, Kai: A well-posedness result for a mass conserved Allen-Cahn equation with nonlinear diffusion. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 201-210
• Actis, Marcelo; Aimar, Hugo: Pointwise convergence to the initial data for nonlocal dyadic diffusions. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 1, pp. 193-204
• Eisner, Jan; Kučera, Milan; Väth, Martin: A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions. (English). Applications of Mathematics, vol. 61 (2016), issue 1, pp. 1-25
• Kůs, Pavel: Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 140-147
• Heida, Martin: Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation. (English). Applications of Mathematics, vol. 60 (2015), issue 1, pp. 51-90
• Rybář, Vojtěch; Vejchodský, Tomáš: On the number of stationary patterns in reaction-diffusion systems. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 206-216
• Ei, Shin-Ichiro; Ikeda, Kota; Nagayama, Masaharu; Tomoeda, Akiyasu: Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 363-371
• Kolář, Miroslav; Beneš, Michal; Ševčovič, Daniel: Computational studies of conserved mean-curvature flow. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 677-684
• Al-Khaled, Kamel: Existence of solutions to nonlinear advection-diffusion equation applied to Burgers' equation using Sinc methods. (English). Applications of Mathematics, vol. 59 (2014), issue 4, pp. 441-452
• Hoang, Dieu Hung; Beneš, Michal: Forced anisotropic mean curvature flow of graphs in relative geometry. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 429-436
• Väth, Martin: Instability of Turing type for a reaction-diffusion system with unilateral obstacles modeled by variational inequalities. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 195-211
• Rybář, Vojtěch; Vejchodský, Tomáš: Irregularity of Turing patterns in the Thomas model with a unilateral term. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 188-193
• Gurevich, Pavel; Tikhomirov, Sergey: Systems of reaction-diffusion equations with spatially distributed hysteresis. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 239-257
• Suzuki, Takashi: Mathematical models of tumor growth systems. (English). Mathematica Bohemica, vol. 137 (2012), issue 2, pp. 201-218
• Baltaev, Jamol I.; Kučera, Milan; Väth, Martin: A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions. (English). Applications of Mathematics, vol. 57 (2012), issue 2, pp. 143-165
• Beneš, Michal; Yazaki, Shigetoshi; Kimura, Masato: Computational studies of non-local anisotropic Allen-Cahn equation. (English). Mathematica Bohemica, vol. 136 (2011), issue 4, pp. 429-437
• Ei, Shin-Ichiro; Tsujikawa, Tohru: The dynamics of weakly interacting fronts in an adsorbate-induced phase transition model. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 625-633
• Strachota, Pavel: Implementation of the MR tractography visualization kit based on the anisotropic Allen-Cahn equation. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 657-669
• Takaishi, Takeshi; Kimura, Masato: Phase field model for mode III crack growth in two dimensional elasticity. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 605-614
• Murakawa, Hideki: A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 580-590
• Chocholatý, Pavol: Influence of linearization to the solution of Fisher's equation in a plane. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 71-76
• Borsi, Iacopo; Farina, Angiolo; Fasano, Antonio; Primicerio, Mario: Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties. (English). Applications of Mathematics, vol. 53 (2008), issue 5, pp. 409-432
• Svanstedt, Nils: Multiscale stochastic homogenization of convection-diffusion equations. (English). Applications of Mathematics, vol. 53 (2008), issue 2, pp. 143-155
• Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex: Counting number of cells and cell segmentation using advection-diffusion equations. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 817-829
• El Ouardi, Hamid: On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories. (English). Archivum Mathematicum, vol. 43 (2007), issue 4, pp. 289-303
• Drblíková, Olga: Uniform a priori estimates for discrete solution of nonlinear tensor diffusion equation in image processing. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 777-788
• Arrieta, Jose M.; Rodriguez-Bernal, Anibal: Blow up versus global boundedness of solutions of reaction diffusion equations with nonlinear boundary conditions. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 1-7
• Rodriguez-Bernal, Anibal; Vidal-López, Alejandro: Extremal equilibria for parabolic non-linear reaction-diffusion equations. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 531-539
• Chaves, Manuela: On a blow-up estimate for a higher order semilinear parabolic equation. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 135-140
• Meier, Sebastian A.; Böhm, Michael: On a micro-macro system arising in diffusion-reaction problems in porous media. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 259-263
• Peter, Malte A.; Böhm, Michael: Scalings in homogenisation of reaction, diffusion and interfacial exchange in a two-phase medium. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 369-376
• Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří; Kliková, Alice: Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 4, pp. 301-340
• Stynes, Martin; Kellogg, R. Bruce: $N$-widths for singularly perturbed problems. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 343-352
• Feistauer, Miloslav; Najzar, Karel; Švadlenka, Karel: On a parabolic problem with nonlinear Newton boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 429-455
• Caraballo, Tomás; Langa, José Antonio; Melnik, Valery S.; Valero, José: Attractors of nonautonomous and stochastic differential inclusions. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 57-66
• Stynes, Martin; Kellogg, R. Bruce: $N$-widths for singularly perturbed problems. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 197-205
• Constales, D.; Kačur, J.: On the solution of some inverse problems in infiltration. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 307-322
• Eisner, Jan: Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions II, Examples. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 119-140
• Prato, Giuseppe Da; Tubaro, Luciano: Some results about dissipativity of Kolmogorov operators. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 4, pp. 685-699
• Babický, Vítězslav: Destabilization for quasivariational inequalities of reaction-diffusion type. (English). Applications of Mathematics, vol. 45 (2000), issue 3, pp. 161-176
• Eisner, Jan: Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions. (English). Mathematica Bohemica, vol. 125 (2000), issue 4, pp. 385-420
• Temam, Roger; Wang, Xiaoming: Boundary layer for Chaffee-Infante type equation. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 217-226
• Kučera, Milan: Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 3, pp. 469-486
• Eisner, Jan; Kučera, Milan: Spatial patterns for reaction-diffusion systems with conditions described by inclusions. (English). Applications of Mathematics, vol. 42 (1997), issue 6, pp. 421-449
• Mielke, Alexander: Floquet theory for, and bifurcations from spatially periodic patterns. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 153-158
• Fiedler, Bernold: Global attractors of one-dimensional parabolic equations: sixteen examples. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 67-92
• Nishiura, Yasumasa: Mesoscopic morphology and scaling law of stationary interfacial patterns for reaction diffusion systems. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 169-173
• Poláčik, Peter: Realization of the dynamics of ODE's in scalar parabolic PDE's. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 179-185
• Spigler, Renato; Vianello, Marco: Semi-implicit discretization of abstract evolution equations. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 207-212
• Lin, Xiao-Biao: Spatially nonhomogeneous pattern generated by homoclinic/equilibrium bifurcations. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 147-152
• Zeman, Juraj: On existence of the weak solution for nonlinear diffusion equation. (English). Applications of Mathematics, vol. 36 (1991), issue 1, pp. 9-20
• Fila, Marek; Filo, Ján: A blow-up result for nonlinear diffusion equations. (English). Mathematica Slovaca, vol. 39 (1989), issue 3, pp. 331-346
• Holodniok, M.; Kubíček, M.: Numerical aspects of computation of periodic and quasiperiodic solutions in systems of partial differential equations. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 260-264
• Hetzer, Georg: Forced periodic oscillations in the climate system via an energy balance model. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 4, pp. 593-601
• Nohel, John A.: A class of one-dimensional degenerate parabolic equations. (English). Časopis pro pěstování matematiky, vol. 111 (1986), issue 3, pp. 294-303
• Kučera, Milan; Neustupa, Jiří: Destabilizing effect of unilateral conditions in reaction-diffusion systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 171-187
• Drábek, Pavel; Kučera, Milan: Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 116-130
• Drábek, Pavel; Kučera, Milan; Míková, Marta: Bifurcation points of reaction-diffusion systems with unilateral conditions. (English). Czechoslovak Mathematical Journal, vol. 35 (1985), issue 4, pp. 639-660
• Fiedler, Bernold; Brunovský, Pavol: Connections in scalar reaction diffusion equations with Neumann boundary conditions. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [123]-128
• Kučera, Milan: Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. 227-234