Asymptotic behavior in time for a model of nonlinear plane air waves when a viscosity term is present is investigated. The existence of a uniform bound of several norms is established, and in particular the continuity of the solution, which implies the nonexistence of shock waves.
Marzocchi, A., Uniform time bounds on the amplitude of nonlinear plane air waves in the presence of viscosity, <<MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES>>, 1997; 7 (7): 993-1003. [doi:10.1142/S0218202597000499] [https://hdl.handle.net/10807/268515]
Uniform time bounds on the amplitude of nonlinear plane air waves in the presence of viscosity
Marzocchi, AlfredoPrimo
1997
Abstract
Asymptotic behavior in time for a model of nonlinear plane air waves when a viscosity term is present is investigated. The existence of a uniform bound of several norms is established, and in particular the continuity of the solution, which implies the nonexistence of shock waves.
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