Convergence of the Lax-Friedrichs scheme for isothermal gas dynamics with semiconductor devices

DOI10.1007/s00033-005-0001-1zbMath1090.35017OpenAlexW1993673429MaRDI QIDQ818765

Tian-Hong Li

Publication date: 21 March 2006

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-005-0001-1

zbMATH Keywords

semiconductorcompensated compactnessisothermal gasEuler-Poisson equationentropy,Lax-Friedrichs schemes

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35)

Related Items (3)

Weak solutions to the Cauchy problem of the time-dependent Thomas–Fermi equations ⋮ Global weak solutions to the non-relativistic radiation hydrodynamical equations with isothermal fluids ⋮ Existence and large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices with variable coefficient damping

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