Nonlinear asymptotic stability of the equilibrium state for the MEP model of charge transport in semiconductors

DOI10.1016/j.na.2006.01.030zbMath1109.35108OpenAlexW1976098981MaRDI QIDQ852566

R. S. Bushmanov, Vittorio Romano, Alexander Blokhin

Publication date: 15 November 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.01.030

zbMATH Keywords

Lyapunov stabilitymaximum entropy principlehydrodynamical model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Statistical mechanics of semiconductors (82D37)

Related Items (8)

Asymptotic stability of the stationary solution for a new mathematical model of charge transport in semiconductors ⋮ Study of the jump conditions for the 2D MEP hydrodynamical model of charge transport in semiconductors ⋮ Strong discontinuities for the 2-D MEP hydrodynamical model of charge transport in semiconductors ⋮ Local-in-time well-posedness of a regularized mathematical model for silicon MESFET ⋮ Hydrodynamical model for charge transport in graphene ⋮ Global existence for the system of the macroscopic balance equations of charge transport in semiconductors ⋮ Linear asymptotic stability of the equilibrium state for the 2-D MEP hydrodynamical model of charge transport in semiconductors ⋮ Regularity of the solution and well-posedness of a mixed problem for an elliptic system with quadratic nonlinearity in gradients

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