Cuti Gutiérrez, Hernán ArquímedesRojas Mendoza, Ana Cecilia8/17/20178/17/20172016https://hdl.handle.net/20.500.14414/8482In 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)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)spainfo:eu-repo/semantics/openAccessConservación escalar, Front TrackingProblema inverso para leyes de conservación escalarinfo:eu-repo/semantics/bachelorThesis