RT journal article
T1 Lp − Lq-maximal regularity of Van Wjingaarden-equation in a cylindrical domain
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Maximal regularity
K1 Van Wijngaarden-Eringen equation
K1 Degenerate evolution equations
K1 R- boundedness
AB We consider the maximal regularity problem for a PDE of linear acoustics, named theVan Wijngaarden-Eringen equation, that models the propagation of linear acoustic waves in isothermalbubbly liquids, wherein the bubbles are of uniform radius. If the dimensionless bubble radius is greaterthan one, we prove that the inhomogeneous version of the Van Wijngaarden-Eringen equation, in acylindrical domain, admits maximal regularity in Lebesgue spaces. Our methods are based on thetheory of operator-valued Fourier multipliers.
PB Springer
SN 1687-1847
YR 2020
FD 2020
LK http://hdl.handle.net/10498/35359
UL http://hdl.handle.net/10498/35359
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026