Problema inverso para leyes de conservación escalar
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Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Nacional de Trujillo
Abstract
En la presente Tesis se elabora un proceso de reconstrucci on, llamado tambi en_x000D_
Problema Inverso, con el n de determinar la funci on:_x000D_
k = k(x)_x000D_
que satisface la ecuaci on de la ley de conservaci on escalar :_x000D_
@tu + (k (x) f (u))x = 0 (0.1)_x000D_
a partir de las soluciones a los problemas de Cauchy asociados a la ecuaci on (0.1) y_x000D_
de un unico dato inicial u (x; 0) = u0 (x)
Description
In this thesis a reconstruction process is made, wich is also called Inverse Problem,_x000D_
in order to determine the function_x000D_
k = k(x)_x000D_
which satis es the equation of the escalar conservation law:_x000D_
@tu + (k (x) f (u))x = 0 (0.2)_x000D_
from solutions to the problems Cauchy associated to the equation(0.2) and a unique_x000D_
initial data u (x; 0) = u0 (x)
Keywords
Conservación escalar, Front Tracking