On a hyperbolic perturbation of a parabolic initial-boundary value problem

DOI10.1016/j.aml.2018.03.027OpenAlexW2794917593MaRDI QIDQ1644148

Boris N. Chetverushkin, Alexander Zlotnik

Publication date: 21 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.027

zbMATH Keywords

energy normparabolic initial-boundary value problemperturbation errorhyperbolic perturbation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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• Convergence rate estimate in L2 of projection-difference schemes for parabolic equations
• Controllability of hyperbolic systems under singular perturbations

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