An integral equation method for a boundary value problem arising in unsteady water wave problems
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Publication:2426598
DOI10.1216/JIE-2008-20-1-121zbMath1134.76007OpenAlexW2104019783MaRDI QIDQ2426598
P. G. Chamberlain, Mark D. Preston, Simon N. Chandler-Wilde
Publication date: 23 April 2008
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jie-2008-20-1-121
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free-surface potential flows for incompressible inviscid fluids (76B07)
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Cites Work
- Unnamed Item
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Convergence of a boundary integral method for 3-D water waves.
- Solvability and spectral properties of integral equations on the real line. II: \(L^p\)-spaces and applications
- Elliptic partial differential equations of second order
- Solvability and spectral properties of integral equations on the real line. I: Weighted spaces of continuous functions
- A convergent boundary integral method for three-dimensional water waves
- A fast method for nonlinear three-dimensional free-surface waves
- Convergence of a Boundary Integral Method for Water Waves
- Approximate Solution of Second Kind Integral Equations on Infinite Cylindrical Surfaces
- Scattering by Rough Surfaces: the Dirichlet Problem for the Helmholtz Equation in a Non-locally Perturbed Half-plane
- Acoustic Scattering by Mildly Rough Unbounded Surfaces in Three Dimensions