
handle: 11564/805449 , 11392/2356678
Summary: We study the stability of transonic strong shock solutions of the steady state one-dimensional unipolar hydrodynamic model for semiconductors in the isentropic case. The approach is based on the construction of a pseudo-local symmetrizer and on the paradifferential calculus with parameters, which combines the work of Bony-Meyer and the introduction of a large parameter.
Statistical mechanics of semiconductors, Paradifferential operators as generalizations of partial differential operators in context of PDEs, transonic strong shock solutions, Initial-boundary value problems for first-order hyperbolic systems, Hydrodynamic models; Semiconductors; Stability; Transonic shock waves; Mathematics (all), one space dimension, paradifferential calculus, Stability in context of PDEs, Shocks and singularities for hyperbolic equations, pseudo-local symmetrizer
Statistical mechanics of semiconductors, Paradifferential operators as generalizations of partial differential operators in context of PDEs, transonic strong shock solutions, Initial-boundary value problems for first-order hyperbolic systems, Hydrodynamic models; Semiconductors; Stability; Transonic shock waves; Mathematics (all), one space dimension, paradifferential calculus, Stability in context of PDEs, Shocks and singularities for hyperbolic equations, pseudo-local symmetrizer
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