Abstract
The compactness of trajectories of solutions to various phase-field models is proved. In some cases, the convergence of any strong solution to a single stationary state is also established.
The work of this author was supported by Grant A1019002 of GA AV ČR
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35690-7_44
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Keywords
- Strong Solution
- Neumann Boundary Condition
- Strong Global Solution
- Poincare Inequality
- Phase Field Variable
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Aizicovici, S., Petzeltová, H. (2003). Compactness and Long-Time Stabilization of Solutions to Phase-Field Models. In: Barbu, V., Lasiecka, I., Tiba, D., Varsan, C. (eds) Analysis and Optimization of Differential Systems. SEC 2002. IFIP — The International Federation for Information Processing, vol 121. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35690-7_1
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DOI: https://doi.org/10.1007/978-0-387-35690-7_1
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