| EPSRC Reference: |
GR/N14415/01 |
| Title: |
SINGULAR INTEGRAL EQUATIONS ON INFINITE DOMAINS WITH APPLICATION TO SCATTERING INFINITE LIPSCHITZ SURFACES |
| Principal Investigator: |
Zhang, Dr B |
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| Department: |
Mathematical and Information Sciences |
| Organisation: |
Coventry University |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
13 December 2000 |
Ends: |
12 June 2002 |
Value (£): |
54,858
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The proposed project is concerned with theoretical analysis of acoustic and electromagnetic wave scattering from unbounded non-smooth (Lipschitz) surfaces, considering both the general case and various special cases. A main tool will be an extension of integral equation methods, well-developed for scattering by smooth obstacles. Singular integral equations of the second kind on unbounded domains will be considered and, in particualr, integral equations of this type which arise from scattering by unbounded Lipschitz surfaces. The aim will be to develop a general solvability theory, particularly conditions under which uniqueness of solution implies existence. This general theory will then be used to show well-posedness for integral equation formulations for the Helmholtz equation and the time-harmonic Maxwell's equations with various boundary conditions in a non-locally perturbed half-space with Lipschitz boundaries. The well-posedness of the associated boundary value problems will be established by showing the equivalence of the integral equation formulations with the boundary value problems.Keywords describing areas of proposal.Singular integral equation, Lipschitz surface, scattering, Helmholtz equation, Maxwell's equation
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.cov.ac.uk |