Global existence of solutions to reaction-diffusion systems on heterogeneous domains /
We consider m component semilinear systems of the form [ut = Dhu + /(rI) on (r, r) x f)] with [(1] a smooth bounded domain containing heterogeneous subdomains with respect to both reaction and diffusion and subject to diffraction at the interfaces of the subdomains with either homogeneous Dirichlet...
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| Format: | Thesis Book |
| Language: | English |
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[Place of publication not identified] :
[publisher not identified] ;
1998.
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| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=732838341&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | We consider m component semilinear systems of the form [ut = Dhu + /(rI) on (r, r) x f)] with [(1] a smooth bounded domain containing heterogeneous subdomains with respect to both reaction and diffusion and subject to diffraction at the interfaces of the subdomains with either homogeneous Dirichlet or Neumann boundary condition. We show that if the initial data is continuous and nonnegative, the reaction function is locally Lipschitz and satisfies well known conditions for systems without interfaces, the solution exists for all time. We accomplish this by first showing that the operator [Dh] with appropriate boundary conditions, generates an analytic semigroup in both [1#4f1)] and [C(ii)] . This work extends earlier work of Fitzgibbon, Morgan, and Hollis ho studied the associated steady-state systems. |
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| Item Description: | Vita. |
| Physical Description: | v, 66 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilm Inc. |
| Bibliography: | Includes bibliographical references: pages 64-65. |