## Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species.(English)Zbl 0974.35123

A $$(1+ 1)$$-dimensional $$4\times 4$$-system of nonlinear first-order evolution equations is considered as a model for the dynamics of electrons and holes in a semiconductor. The nonlinear lower-order term models recombination-generation and a nonlocal term models the influence of the doping profile. The authors are concerned with the question of asymptotic stability of the steady state solution of this system for which the paper gives a positive answer provided the doping profile deviates not too much from zero.

### MSC:

 35Q60 PDEs in connection with optics and electromagnetic theory 35B35 Stability in context of PDEs 35Q35 PDEs in connection with fluid mechanics
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### References:

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