A semigroup proof for the well-posedness of the linearised shallow water equations

DOI10.1007/S10476-017-0204-7zbMath1399.47203OpenAlexW2605888007MaRDI QIDQ681554

J. Winckler, Petra Csomós

Publication date: 12 February 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/71216/1/Csomos_Winckler_AnMath_revised_round2.pdf

zbMATH Keywords

shallow water equationoperator semigroup theoryStones' theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Applications of operator theory in the physical sciences (47N50) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (1)

Fourier-splitting method for solving hyperbolic LQR problems

Cites Work

• Unnamed Item
• A class of semi-implicit predictor-corrector schemes for the time integration of atmospheric models
• A semi-group theoretical analysis of a finite element method for a linearized viscous shallow-water system
• On one-parameter unitary groups in Hilbert space
• Exponential integrators
• One-Parameter Semigroups for Linear Evolution Equations

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