7 citations · 16 across the 4 of their papers we have counts for
Showing math-phShow all
2 papers · 1 filter
math-ph2022★ 5 cited
Symmetry analysis and hidden variational structure of Westervelt's equation in nonlinear acoustics
Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido +1
Westervelt's equation is a nonlinear wave equation that is widely used to model the propagation of sound waves in a compressible medium, with one important application being ultra-…
math-ph2022
Conservation laws and variational structure of damped nonlinear wave equations
Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido +1
All low-order conservation laws are found for a general class of nonlinear wave equations in one dimension with linear damping which is allowed to be time-dependent. Such equations…