Existence of a Periodic Solution in the Form of a Two-Dimensional Front in a System of Parabolic Equations

• Published in: Differential equations Vol. 56; no. 4; pp. 462 - 477
• Main Authors: Melnikova, A. A., Deryugina, N. N.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.04.2020; Springer
• Subjects: Backup software; Chemical reaction, Rate of; Difference and Functional Equations; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Partial Differential Equations

For a singularly perturbed system consisting of the two parabolic equations and given in the Cartesian product of a two-dimensional simply connected domain with smooth boundary and the time half-line, where is a small parameter and and are sufficiently smooth functions, -periodic in time, of the var...