RT journal article
T1 Periodic solutions for the Blackstock-Crighton-Westervelt equation
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Well-posedness
K1 Blackstock-Crighton-Westervelt equation
K1 R-boundedness
AB 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.
PB Elsevier
SN 0362-546X
YR 2023
FD 2023
LK http://hdl.handle.net/10498/35318
UL http://hdl.handle.net/10498/35318
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026