Optimal shape of an underwater moving bottom generating surface waves ruled by a forced Korteweg-de Vries equation

DOI10.1007/s10957-018-1400-8zbMath1409.49019OpenAlexW2894981938WikidataQ129134983 ScholiaQ129134983MaRDI QIDQ1730401

Xianqiang Yang

Publication date: 6 March 2019

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://dspace.lboro.ac.uk/2134/35138

zbMATH Keywords

optimal controlshape optimizationfinite-difference methodsnumerical simulationexistence theoryforced Korteweg-de Vries equationsurface wave generation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods involving duality (49M29) Fréchet and Gateaux differentiability in optimization (49J50) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Methods involving semicontinuity and convergence; relaxation (49J45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (4)

Weakly nonlinear theory for dispersive waves generated by moving seabed deformation ⋮ Brachistochronous motion of a flat plate parallel to its surface immersed in a fluid ⋮ Lagrangian modelling of nonlinear viscous waves generated by moving seabed deformation ⋮ Optimization of Bathymetry for Long Waves with Small Amplitude

Uses Software

• Matlab

Cites Work

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