Finite dimensional exponential attractor for the phase field model
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Publication:4289391
DOI10.1080/00036819108840173zbMath0790.35052OpenAlexW2065811160WikidataQ58264852 ScholiaQ58264852MaRDI QIDQ4289391
D. Brochet, Xinfu Chen, Danielle Hilhorst
Publication date: 26 June 1994
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: http://purl.umn.edu/1696
semigroupboundary value problemsDirichlet boundary conditionsNeumann boundary conditionsperiodic boundary conditionsmaximal attractorphase field equationsinertial set
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)
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Cites Work
