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35B25 Singular perturbations (28 articles)

• Wang, Hongli; Yang, Jianwei: Incompressible limit of a fluid-particle interaction model. (English). Applications of Mathematics, vol. 66 (2021), issue 1, pp. 69-86
• Tang, Tong; Sun, Jianzhu: Uniform regularity for an isentropic compressible MHD-$P1$ approximate model arising in radiation hydrodynamics. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 3, pp. 881-890
• Colturato, Michele: Solvability of a class of phase field systems related to a sliding mode control problem. (English). Applications of Mathematics, vol. 61 (2016), issue 6, pp. 623-650
• Ersoy, Mehmet: Dimension reduction for incompressible pipe and open channel flow including friction. (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. 17-33
• 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
• Tian, Yanling: Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes. (English). Applications of Mathematics, vol. 59 (2014), issue 2, pp. 217-240
• Deuring, Paul: The Cauchy problem for the homogeneous time-dependent Oseen system in $ \mathbb {R}^3 $: spatial decay of the velocity. (English). Mathematica Bohemica, vol. 138 (2013), issue 3, pp. 299-324
• Roos, Hans-Görg; Schopf, Martin: Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D. (English). Applications of Mathematics, vol. 57 (2012), issue 2, pp. 97-108
• Ludwig, Lars; Roos, Hans-Görg: Superconvergence for convection-diffusion problems with low regularity. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 173-187
• 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
• Stehlíková, Beáta; Ševčovič, Daniel: On the singular limit of solutions to the Cox-Ingersoll-Ross interest rate model with stochastic volatility. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 670-680
• Yang, Zuodong; Yuan, Junli: Non-existence result for quasi-linear elliptic equations with supercritical growth. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 3, pp. 417-430
• Ohnishi, Isamu; Mimura, Masayasu: A mathematical aspect for Liesegang phenomena. (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. 343-352
• Stynes, Martin; Kellogg, R. Bruce: $N$-widths for singularly perturbed problems. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 343-352
• 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
• Duvnjak, Antonija; Marušić-Paloka, Eduard: Derivation of the Reynolds equation for lubrication of a rotating shaft. (English). Archivum Mathematicum, vol. 36 (2000), issue 4, pp. 239-253
• Temam, Roger; Wang, Xiaoming: Boundary layer for Chaffee-Infante type equation. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 217-226
• Najman, Branko: Convergence estimate for second order Cauchy problems with a small parameter. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 737-745
• Ševčovič, Daniel: The C$^1$ stability of slow manifolds for a system of singularly perturbed evolution equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 89-107
• Heinrichs, Wilhelm: Spectral methods for singular perturbation problems. (English). Applications of Mathematics, vol. 39 (1994), issue 3, pp. 161-188
• 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
• Fečkan, Michal: A certain type of partial differential equations on tori. (English). Mathematica Bohemica, vol. 117 (1992), issue 4, pp. 365-372
• Rovderová, Eva: Existence of solution to nonlinear boundary value problem for ordinary differential equation of the second order in Hilbert space. (English). Mathematica Bohemica, vol. 117 (1992), issue 4, pp. 415-424
• Ševčovič, Daniel: Limiting behavior of global attractors for singularly perturbed beam equations with strong damping. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 1, pp. 45-60
• Milani, Albert J.: Global existence for quasi-linear dissipative hyperbolic equations with large data and small parameter. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 2, pp. 325-331
• Feireisl, Eduard: Invariant regions associated with quasilinear damped wave equations. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 4, pp. 612-618
• Štědrý, Milan; Vejvoda, Otto: Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem. (English). Aplikace matematiky, vol. 28 (1983), issue 5, pp. 344-356
• Roos, Hans-Georg: Ein singulär gestörtes Problem für eine lineare parabolische Differentialgleichung beliebiger Ordnung. (German) [A singular perturbed problem for a linear parabolic differential equation of arbitary order]. Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 1, pp. 13-25