Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis

DOI10.1007/s00245-024-10172-zzbMath1547.35597MaRDI QIDQ6598009

Mauricio Sepúlveda Cortés., Boumediène Chentouf, Rodrigo Véjar-Asem, Unnamed Author

Publication date: 4 September 2024

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

stability energy method finite difference method fixed point theory well-posedness Kuramoto-Sivashinsky equation Korteweg-de Vries-Burgers equation numerical analysis boundary infinite memory semigroups approach

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Fixed-point theorems (47H10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference methods for boundary value problems involving PDEs (65N06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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