The initial/boundary value problem on the semiline and on a finite interval, for the Burgers equations ut=uxx+2uxu, is solved, i.e. reduced, by quadratures, to a linear integral equation of Volterra type in one independent variable, which can itself be solved by quadratures if the boundary data are time independent.
The Burgers equation on the semi-infinite and finite interval
DE LILLO, Silvana
1989
Abstract
The initial/boundary value problem on the semiline and on a finite interval, for the Burgers equations ut=uxx+2uxu, is solved, i.e. reduced, by quadratures, to a linear integral equation of Volterra type in one independent variable, which can itself be solved by quadratures if the boundary data are time independent.File in questo prodotto:
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