Geodesic
Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 407-435 
M. O. Korpusov; A. G. Sveshnikov. Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 407-435. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a2/
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     author = {M. O. Korpusov and A. G. Sveshnikov},
     title = {Finite-time relaxation of the solution of a~nonlinear pseudoparabolic equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A model equation is considered that describes the relaxation of an initial perturbation in a crystalline semiconductor in the case when its electrical conductivity depends nonlocally on the field. For certain initial parameters, the effect of finite-time “cooling” is proved to occur. For other parameters, the first term of the long-time asymptotics is found and the remainder of the asymptotic expansion is estimated.

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