Compressible Fluid Dynamics

By B. Hodge. 2015

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On a Fourth-Order Equation of Moore–Gibson–Thompson Type (2017, unknown): “accounting for the second sound effects and the associated thermal relaxation in viscous fluids [5, 10, 11, 13, 14].”
Nonexistence of global solutions for the semilinear Moore – Gibson – Thompson equation in the conservative case (2019, background): “Introduction In recent years, the Moore - Gibson - Thompson (MGT) equation, a linearization of a model for wave propagation in viscous thermally relaxing fluids, has caught a lot of attention (see [29, 43, 14, 20, 19, 28, 18, 25, 35, 3, 6, 24, 7, 23, 34, 2, 5] and references therein).”
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case (2020, background): “Concerning some studies for the linear or nonlinear MGT equations, we refer interested readers to the related works [42, 54, 34, 20, 36, 35, 41, 33, 40, 49, 7, 16, 39, 17, 38, 48, 5, 1, 15, 6, 51, 47, 50, 11, 12, 4, 43, 44] and references therein.”