Geodesic
Uniqueness of classical solution for linearized quasi-hydrodynamic equations in barotropic approximation
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2015), pp. 137-148

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For linearized quasi-hydrodynamic equations in barotropic approximation the theorem on the uniqueness of classical solution of posed initial boundary value problem is proved. Asymptotic stability of equilibrium solution is established. The symmetric form of linearized system in Riemann invariants for one-dimensional non-stationary flows is written out.
Keywords: linearized quasi-hydrodynamic equations, barotropic approximation, uniqueness of classical solution, asymptotic stability of equilibrium solution
Mots-clés : Riemann invariants. 
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     author = {Yu. V. Sheretov},
     title = {Uniqueness of classical solution for linearized quasi-hydrodynamic equations in barotropic approximation},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {137--148},
     publisher = {mathdoc},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2015_1_a8/}
}
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Yu. V. Sheretov. Uniqueness of classical solution for linearized quasi-hydrodynamic equations in barotropic approximation. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2015), pp. 137-148. http://geodesic.mathdoc.fr/item/VTPMK_2015_1_a8/