Attractors of semigroups associated with nonlinear systems for diffusive phase separation
We consider a model for diffusive phase transitions, for instance, the component separation in a binary mixture. Our model is described by two functions, the absolutete temperature θ:=θ(t,x) and the order parameter w:=w(t,x), which are governed by a system of two nonlinear parabolic PDEs. The order...
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | Abstract and Applied Analysis |
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| Online Access: | http://dx.doi.org/10.1155/S1085337596000085 |
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| _version_ | 1832558008452775936 |
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| author | Nobuyuki Kenmochi |
| author_facet | Nobuyuki Kenmochi |
| author_sort | Nobuyuki Kenmochi |
| collection | DOAJ |
| description | We consider a model for diffusive phase transitions, for
instance, the component separation in a binary mixture. Our model is
described by two functions, the absolutete temperature θ:=θ(t,x) and the order parameter w:=w(t,x), which are governed by a system of two nonlinear parabolic PDEs. The order parameter
w is constrained to have double obstacles σ*≤w≤σ* (i.e., σ* and σ* are the threshold values of w). The objective of this paper is to discuss the semigroup {S(t)} associated with the phase separation model, and construct its global attractor. |
| format | Article |
| id | doaj-art-007e6cd6d84e47be972fdc9fca09d141 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-007e6cd6d84e47be972fdc9fca09d1412025-02-03T01:33:20ZengWileyAbstract and Applied Analysis1085-33751996-01-011216919210.1155/S1085337596000085Attractors of semigroups associated with nonlinear systems for diffusive phase separationNobuyuki Kenmochi0Department of Mathematics, Faculty of Education, Chiba University, Inageku, Chiba 263, JapanWe consider a model for diffusive phase transitions, for instance, the component separation in a binary mixture. Our model is described by two functions, the absolutete temperature θ:=θ(t,x) and the order parameter w:=w(t,x), which are governed by a system of two nonlinear parabolic PDEs. The order parameter w is constrained to have double obstacles σ*≤w≤σ* (i.e., σ* and σ* are the threshold values of w). The objective of this paper is to discuss the semigroup {S(t)} associated with the phase separation model, and construct its global attractor.http://dx.doi.org/10.1155/S1085337596000085System of parabolic equationsdiffusive phase separationsemigroupattractor. |
| spellingShingle | Nobuyuki Kenmochi Attractors of semigroups associated with nonlinear systems for diffusive phase separation Abstract and Applied Analysis System of parabolic equations diffusive phase separation semigroup attractor. |
| title | Attractors of semigroups associated with nonlinear systems for
diffusive phase separation |
| title_full | Attractors of semigroups associated with nonlinear systems for
diffusive phase separation |
| title_fullStr | Attractors of semigroups associated with nonlinear systems for
diffusive phase separation |
| title_full_unstemmed | Attractors of semigroups associated with nonlinear systems for
diffusive phase separation |
| title_short | Attractors of semigroups associated with nonlinear systems for
diffusive phase separation |
| title_sort | attractors of semigroups associated with nonlinear systems for diffusive phase separation |
| topic | System of parabolic equations diffusive phase separation semigroup attractor. |
| url | http://dx.doi.org/10.1155/S1085337596000085 |
| work_keys_str_mv | AT nobuyukikenmochi attractorsofsemigroupsassociatedwithnonlinearsystemsfordiffusivephaseseparation |