A technique is given to solve the initial/boundary value problem for the Burgers equation on the semiline 0≤ x<∞, with the general boundary condition at the origin H [u (0, t), ux (0, t); t]= 0.where H is also taken to be quadratic in the derivative. Here ''to solve''means ''to reduce to an equation in one independent variable. The result is a classification of the boundary conditions that can be reduced to a linear Volterra integral equation
Burgers equation on the semiline with general boundary conditions at the origin
DE LILLO, Silvana
1991
Abstract
A technique is given to solve the initial/boundary value problem for the Burgers equation on the semiline 0≤ x<∞, with the general boundary condition at the origin H [u (0, t), ux (0, t); t]= 0.where H is also taken to be quadratic in the derivative. Here ''to solve''means ''to reduce to an equation in one independent variable. The result is a classification of the boundary conditions that can be reduced to a linear Volterra integral equationFile in questo prodotto:
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