Asymptotic behavior of solutions to the phase-field equations with neumann boundary conditions
By Zhenhua Zhang. 2005
54 citations recorded by the source corpus.
This paper is concerned with the asymptotic behavior of solutions to the phase-field equations subject to the Neumann boundary conditions where a Lojasiewicz-Simon type inequality plays an important role. In this paper, convergence of the solution of this problem to an equilibrium, as time goes to infinity, is proved.
Subfields: Aerospace Engineering, Materials Chemistry, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/1e9729c03383bcd4bd0dae7873d928151d63fcd4
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In Aerospace Engineering
In Materials Chemistry
- Laurence Cherfils
- Alain Miranville
- Hao Wu
- Sergey Zelik
- Ciprian G. Gal
- Maurizio Grasselli
- Andrea Giorgini
- Gianni Gilardi
In Mechanical Engineering
Citations in the corpus
- On the Caginalp system with dynamic boundary conditions and singular potentials (2009, methodology): “[24],[ 33 ]andthereferencestherein. Inparticular,onehas satisfactoryresultsonthe existence and uniqueness of solutions, the existence offinite dimensional attractors and the convergence of solutions to steady states.”