In this paper classes of double wave solutions of the 1D Euler system describing a ideal fluid in the non-homogeneous case have been determined. In order that the analytical procedure under interest to hold, suitable model laws for the source term involved in the governing model were characterized. Finally such a class of exact double wave solutions has been used for solving some problems of interest in nonlinear wave propagation.
Currò Carmela, Grifò Gabriele, Manganaro Natale (2020). Solutions via double wave ansatz to the 1-D non-homogeneous gas-dynamics equations. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 123, 1-12 [10.1016/j.ijnonlinmec.2020.103492].
Solutions via double wave ansatz to the 1-D non-homogeneous gas-dynamics equations
Grifò GabrieleSecondo
;
2020-07-01
Abstract
In this paper classes of double wave solutions of the 1D Euler system describing a ideal fluid in the non-homogeneous case have been determined. In order that the analytical procedure under interest to hold, suitable model laws for the source term involved in the governing model were characterized. Finally such a class of exact double wave solutions has been used for solving some problems of interest in nonlinear wave propagation.
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