@article{10902/29600,
year = {2020},
month = {12},
url = {https://hdl.handle.net/10902/29600},
abstract = {Starting from the paper by Dias, Dyachenko, and Zakharov (Physics Letters A, 2008) on viscous water waves, we derive a model that describes water waves with viscosity moving in deep water with or without surface tension effects. This equation takes the form of a nonlocal fourth order wave equation and retains the main contributions to the dynamics of the free surface. Then, we prove the well-posedness in Sobolev spaces of such an equation.},
organization = {The research of S.S. is supported by the Basque Government through the BERC 2018-2021 program and by Spanish Ministry of Economy and Competitiveness MINECO through BCAM Severo Ochoa excellence accreditation SEV-2017-0718 and through project MTM2017-82184-R funded by (AEI/FEDER, UE) and acronym ”DESFLU” and by the European Research Council through the Starting Grant project H2020-EU.1.1.-639227 FLUIDINTERFACE. R. G-B has been funded by the grant MTM2017-89976-P from the Spanish government.},
publisher = {American Mathematical Society},
publisher = {Proceedings of the American Mathematical Society, 2020, 148, 5181-5191},
title = {Well-posedness of water wave model with viscous effects},
author = {Granero Belinchón, Rafael and Scrobogna, Stefano},
}