Global strong solutions of Vlasov's equation---necessary and sufficient conditions for their existence
E. Horst (1987)
Banach Center Publications
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E. Horst (1987)
Banach Center Publications
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Xiaopeng Zhao, Changchun Liu (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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This paper is concerned with the convective Cahn-Hilliard equation. We use a classical theorem on existence of a global attractor to derive that the convective Cahn-Hilliard equation possesses a global attractor on some subset of H².
Mititelu, Ştefan (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Haraux, A. (1992)
Portugaliae mathematica
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Chirskiĭ, V.G. (2005)
Journal of Mathematical Sciences (New York)
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Pigong Han, Keke Lei, Chenggang Liu, Xuewen Wang (2023)
Applications of Mathematics
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This paper is devoted to the global attractors of the tropical climate model. We first establish the global well-posedness of the system. Then by studying the existence of bounded absorbing sets, the global attractor is constructed. The estimates of the Hausdorff dimension and of the fractal dimension of the global attractor are obtained in the end.
Eloulaimi, R., Guedda, M. (2001)
Portugaliae Mathematica. Nova Série
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Joachim Escher, Zhaoyang Yin (2008)
Banach Center Publications
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We mainly study initial boundary value problems for the Degasperis-Procesi equation on the half line and on a compact interval. By the symmetry of the equation, we can convert these boundary value problems into Cauchy problems on the line and on the circle, respectively. Applying thus known results for the equation on the line and on the circle, we first obtain the local well-posedness of the initial boundary value problems. Then we present some blow-up and global existence results for...
Hebey, Emmanuel, Robert, Frédéric (2004)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Jacques Giacomoni (1998)
Revista Matemática Complutense
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Wang, Weixiang, Shang, Youlin, Zhang, Ying (2010)
Discrete Dynamics in Nature and Society
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Shang, You Lin, Wang, Wei Xiang, Sun, Quan Bao (2007)
Applied Mathematics E-Notes [electronic only]
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P. Brenner (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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