most citedPhysical interpretation of fractional diffusion-wave equation via lossy media obeying frequency power law

21 citations · 37 across the 5 of their papers we have counts for

collaborators

5 papers

math-ph20031 cited

An explanation of infrared catastrophe of 1/f power spectra

W. Chen

Chen [1] builds the intrinsic link between the 1/f power spectra and the acoustic frequency power law dissipation and, accordingly, presents two explanations of the so-called infra…

math-ph20032 cited

1/f spectral trend and frequency power law of lossy media

W. Chen

The dissipation of acoustic wave propagation has long been found to obey an empirical power function of frequency, whose exponent parameter varies through different media. This not…

math-ph200321 cited

Physical interpretation of fractional diffusion-wave equation via lossy media obeying frequency power law

W. Chen, S. Holm

The fractional diffusion-wave equation (FDWE) is a recent generalization of diffusion and wave equations via time and space fractional derivatives. The equation underlies Levy rand…

math-ph200213 cited

Fractional Laplacian, Levy stable distribution, and time-space models for linear and nonlinear frequency-dependent lossy media

W. Chen, S. Holm

The frequency-dependent attenuation typically obeys an empirical power law with an exponent ranging from 0 to 2. The standard time-domain partial differential equation models can d…

cs.CE2002

A direct time-domain FEM modeling of broadband frequency-dependent absorption with the presence of matrix fractional power: Model I

W Chen

The frequency-dependent attenuation of broadband acoustics is often confronted in many different areas. However, the related time domain simulation is rarely found in literature du…