Local Well-posedness of a Dispersive Navier-stokes System
نویسندگان
چکیده
A. We establish local well-posedness and smoothing results for the Cauchy problem of a degenerate dispersive Navier-Stokes system that arises from kinetic theory. Under assumptions that the initial data satisfy asymptotic flatness and nontrapping conditions, we show there exists a unique classical solution for a finite time. Due to degeneracies in both dissipation and dispersion for the system, different components of the solution gain different regularity. Couplings of these components are analyzed using pseudodifferential operators.
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