Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors

DOI10.1006/jmaa.2000.7359zbMath0982.35112OpenAlexW2077758620MaRDI QIDQ5938644

Maria Christina Mariani, M. P. Beccar Varela, Ansgar Jüngel, Pablo Amster

Publication date: 3 February 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-20642

zbMATH Keywords

existenceuniquenesspositive solutionsfull hydrodynamic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Motion of charged particles (78A35)

Related Items (17)

A review of hydrodynamical models for semiconductors: Asymptotic behavior ⋮ Asymptotic profile in a one-dimensional steady-state nonisentropic hydrodynamic model for semiconductors ⋮ Stationary solutions for a multi-dimensional nonisentropic hydrodynamic model for semiconductors ⋮ 3-D axisymmetric subsonic flows with nonzero swirl for the compressible Euler-Poisson system ⋮ Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary ⋮ Global solutions to nonisentropic hydrodynamic models for two-carrier plasmas ⋮ Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations ⋮ Example of supersonic solutions to a steady state Euler-Poisson system ⋮ The well-posedness theory for Euler–Poisson fluids with non-zero heat conduction ⋮ Solutions to integro-differential systems arising in hydrodynamic models for charged transport in semiconductors ⋮ Global existence and asymptotic behavior for a multidimensional nonisentropic hydrodynamic semiconductor model with the heat source ⋮ Radial solutions of hydrodynamic model of semiconductors with sonic boundary ⋮ Smooth Transonic Steady States of Hydrodynamic Model for Semiconductors ⋮ Existence and some limits of stationary solutions to a one-dimensional bipolar Euler-Poisson system ⋮ A deformation-curl-Poisson decomposition to the three dimensional steady Euler-Poisson system with applications ⋮ Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile ⋮ Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary

Cites Work

• Asymptotic behavior of the solution to a nonisentropic hydrodynamic model of semiconductors
• A steady state potential flow model for semiconductors
• On a one-dimensional steady-state hydrodynamic model for semiconductors
• Quasi-hydrodynamic semiconductor equations
• Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
• GLOBAL WEAK SOLUTIONS OF THE ONE-DIMENSIONAL HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
• Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem
• Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors
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