@misc{10498/35318,
year = {2023},
url = {http://hdl.handle.net/10498/35318},
abstract = {We investigate the Blackstock-Crighton-Westervelt equation which models nonlinear acoustic wave propagation in thermally relaxing viscous fluids. We prove exis- tence and regularity, in a Lp −Lq setting, of time-periodic solutions for a given sufficiently small time-periodic forcing data, and homogeneous Dirichlet boundary conditions over a cylindrical domain. We show maximal Lp-regularity for the abstract linearized model. We use techniques of operator-valued Fourier multiplier theorems combined with a gen- eralized version of the implicit function theorem.},
publisher = {Elsevier},
keywords = {Well-posedness},
keywords = {Blackstock-Crighton-Westervelt equation},
keywords = {R-boundedness},
title = {Periodic solutions for the Blackstock-Crighton-Westervelt equation},
doi = {10.1016/J.NA.2023.113277},
author = {Lizama, Carlos and Murillo Arcila, Marina},
}