Convergence of Convectively Filtered Burgers Equation to the Entropy Solution of Inviscid Burgers Equation
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چکیده
This document provides a proof that the solutions to Convectively Filtered Burgers equation, will converge to the entropy solution of Inviscid Burgers equation when certain restrictions are put on the initial conditions. It does so by first establishing convergence to a weak solution of Inviscid Burgers equation. That solution is then shown to be the entropy solution.
منابع مشابه
Convergence of the Convectively Filtered Burgers Equation to the Entropy Solution of the Inviscid Burgers Equation
This document provides a proof that the solutions to the convectively filtered Burgers equation, will converge to the entropy solution of the inviscid Burgers equation when certain restrictions are put on the initial conditions. It does so by first establishing convergence to a weak solution of the inviscid Burgers equation and then showing that the weak solution is the entropy solution. Then t...
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