Pedro M Jordan
Pedro M. Jordan | |
|---|---|
| Residence | Stennis Space Center, Mississippi, United States |
| Nationality | American |
| Known for | Nonlinear acoustics, Jordan–Moore–Gibson–Thompson (JMGT) equation, Jordan–Cattaneo waves, Maxwell–Cattaneo heat-flux modeling |
| Scientific career | |
| Fields | Applied mathematics, nonlinear acoustics, continuum mechanics |
| Institutions | United States Naval Research Laboratory |
Pedro M. Jordan is an American applied mathematician and research physicist at the United States Naval Research Laboratory (NRL) at the Stennis Space Center in Mississippi. He is known for his work in nonlinear acoustics, wave propagation, and continuum mechanics, and in particular for models of finite-amplitude sound that avoid the infinite speed of propagation predicted by classical theories.
Biography
Jordan holds a Doctor of Philosophy degree and has been affiliated with the University of New Orleans. He serves as a research physicist in the acoustics program of the U.S. Naval Research Laboratory at the Stennis Space Center, where his research spans fluid mechanics, wave phenomena, and nonlinear acoustics.
Work
Jordan's research concerns the propagation of acoustic and thermal waves in fluids and gases, with an emphasis on models that incorporate thermal relaxation and other memory effects. Much of his work replaces the classical Fourier heat-conduction law with the Maxwell–Cattaneo law in order to obtain finite propagation speeds, and he has studied acoustic and thermal waves in inviscid, thermally relaxing gases, as well as acoustic wave propagation in fluids saturating Darcy-type porous media, including acceleration-wave and traveling-wave analyses.
His name is associated with the Jordan–Moore–Gibson–Thompson (JMGT) equation, a third-order-in-time quasilinear partial differential equation that models the finite-amplitude propagation of sound in gases and liquids. The model addresses the infinite speed of propagation paradox present in classical nonlinear acoustic models such as the Westervelt and Kuznetsov equations, and it has become the subject of extensive mathematical study and application, including in high-intensity ultrasound and acoustic nonlinearity parameter tomography. Jordan's studies of the so-called Jordan–Cattaneo waves examine analogues of compressible flow arising from relaxation-type constitutive laws.
Honors
Jordan is the recipient of the Top Scientists/Engineers Award from the U.S. Navy for his work in nonlinear acoustics.