Abstract
In this chapter we study the dynamics of solutions to the singular parabolic system (1.12). We prove that every solution will converge to a stationary solution of (1.12) as time goes to infinity. We also give some interesting properties of these solutions, see Sect. 4.2. The stationary problem is also studied in Sect. 4.1.
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Wang, K. (2013). The Dynamics of One Dimensional Singular Limiting Problem. In: Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33696-6_4
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DOI: https://doi.org/10.1007/978-3-642-33696-6_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33695-9
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