The Burgers equation on the semi-infinite and finite intervals
- 1 February 1989
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 2 (1) , 37-43
- https://doi.org/10.1088/0951-7715/2/1/003
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.Keywords
This publication has 3 references indexed in Scilit:
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- Burger's equation in the quarter plane, a formula for the weak limitCommunications on Pure and Applied Mathematics, 1988
- The partial differential equation ut + uux = μxxCommunications on Pure and Applied Mathematics, 1950