On the Nature of Local Equilibrium in the Carleman and Godunov–Sultangazin Equations

On the Nature of Local Equilibrium in the Carleman and Godunov–Sultangazin Equations

We consider one-dimensional Carleman and Godunov–Sultangazin equations and obtain local equilibrium conditions for solutions of the Cauchy problem with finite energy and periodic initial data. Moreover, we prove the exponential stabilization to the equilibrium state.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-12, Vol.235 (4), p.392-454
Hauptverfasser: Vasil’eva, O. A., Dukhnovskii, S. A., Radkevich, E. V.
Format: Artikel
Sprache:eng
Schlagworte:
CAUCHY PROBLEM
Cauchy problems
EQUATIONS
EQUILIBRIUM
Equilibrium conditions
Mathematical analysis
MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL SOLUTIONS
Mathematics
Mathematics and Statistics
ONE-DIMENSIONAL CALCULATIONS
PERIODICITY
STABILIZATION
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Beschreibung
Zusammenfassung:We consider one-dimensional Carleman and Godunov–Sultangazin equations and obtain local equilibrium conditions for solutions of the Cauchy problem with finite energy and periodic initial data. Moreover, we prove the exponential stabilization to the equilibrium state.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-4080-x