Global dynamics of solutions for a sixth-order parabolic equation describing continuum evolution of film-free surface*
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Vilniaus Universitetas
2022
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| _version_ | 1876445028252909568 |
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| author | Ning Duana |
| author_facet | Ning Duana |
| contents | Global dynamics of solutions for a sixth-order parabolic equation describing continuum evolution of film-free surface* Ning Duana Xiaopeng Zhaob Matemáticas sixth absorbing set Global dynamics order parabolic equation This paper is concerned with a sixth-order diffusion equation, which describes continuum evolution of film-free surface. By using the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors we verified the existence of global attractor for this surface diffusion equation in the spaces H3(Ω) and fractional-order spaces Hk(Ω), where 0 ≤ k < ∞. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173132002 https://www.redalyc.org/journal/6941/694173132002/ https://www.redalyc.org/journal/6941/694173132002/html/ https://www.redalyc.org/journal/6941/694173132002/694173132002.epub https://www.redalyc.org/journal/6941/694173132002/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.27 |
| format | Artículo científico |
| id | redalyc_694173132002 |
| institution | Redalyc |
| language | en |
| publishDate | 2022 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Global dynamics of solutions for a sixth-order parabolic equation describing continuum evolution of film-free surface* Ning Duana Matemáticas sixth absorbing set Global dynamics order parabolic equation Global dynamics of solutions for a sixth-order parabolic equation describing continuum evolution of film-free surface* Ning Duana Xiaopeng Zhaob Matemáticas sixth absorbing set Global dynamics order parabolic equation This paper is concerned with a sixth-order diffusion equation, which describes continuum evolution of film-free surface. By using the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors we verified the existence of global attractor for this surface diffusion equation in the spaces H3(Ω) and fractional-order spaces Hk(Ω), where 0 ≤ k < ∞. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173132002 https://www.redalyc.org/journal/6941/694173132002/ https://www.redalyc.org/journal/6941/694173132002/html/ https://www.redalyc.org/journal/6941/694173132002/694173132002.epub https://www.redalyc.org/journal/6941/694173132002/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.27 |
| title | Global dynamics of solutions for a sixth-order parabolic equation describing continuum evolution of film-free surface* |
| topic | Matemáticas sixth absorbing set Global dynamics order parabolic equation |
| url | https://www.redalyc.org/articulo.oa?id=694173132002 https://www.redalyc.org/journal/6941/694173132002/ https://www.redalyc.org/journal/6941/694173132002/html/ https://www.redalyc.org/journal/6941/694173132002/694173132002.epub https://www.redalyc.org/journal/6941/694173132002/movil |