The stability for an inverse problem of bottom recovering in water-waves

DOI10.1088/1361-6420/abafeezbMath1452.35257arXiv2003.00620OpenAlexW3061633004MaRDI QIDQ5132262

J. C. López-Rios, Rodrigo Lecaros, Sebastián Zamorano, Jaime H. Ortega

Publication date: 10 November 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00620

zbMATH Keywords

stabilitynon-local operatorssize estimatewater-waves equationsgeometric inverse problems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35)

Related Items (1)

Controllability of surface gravity waves and the sloshing problem

Cites Work

• Unnamed Item
• Numerical simulation of gravity waves
• Uniqueness properties of solutions to the Benjamin-Ono equation and related models
• Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
• Size estimates of an obstacle in a stationary Stokes fluid
• A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints
• Capillary oscillations at the exit of a nozzle
• About stability and regularization of ill-posed elliptic Cauchy problems: the case ofC^1,1domains
• Gravity-capillary waves with edge constraints
• The Inverse Conductivity Problem with One Measurement: Bounds on the Size of the Unknown Object
• Bottom Detection Through Surface Measurements on Water Waves
• Optimal size estimates for the inverse conductivity problem with one measurement
• Detecting cavities by electrostatic boundary measurements
• The inverse water wave problem of bathymetry detection
• Size estimates for inclusions in an elastic plate by boundary measurements
• Cauchy theory for the gravity water waves system with non-localized initial data

This page was built for publication: The stability for an inverse problem of bottom recovering in water-waves