| Professor Shapiro's expertise is in nonlinear wave phenomena and collective interaction in plasmas, as well as plasma and fluid turbulence. He is also an authority on the application of basic plasma physics to space physics and astrophysics, especially to the problems of solar wind interaction with planets, shocks, wave activity and particle acceleration at shocks. ..As a fellow of the California Space Institute (see research page), Shapiro is performing research that allows him to model the formation and collapse of lower-hybrid waves created by the interactions between waves of solar wind and particles from several astronomical sources. He has been especially productive in developing models that describe nonlinear evolution of lower-hybrid waves and their role in particle acceleration and wave dissipation in collisionless space plasmas. Shapiro is also successfully working on the construction of different models of particle acceleration at space and astrophysical shocks, including diffuse Fermi acceleration at the front of supernova shocks, shock surfing acceleration at the termination shock.
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