Vanishing Viscosity Limits and Initial-Boundary-Value Problem for The Burger's Equation

LUO Lan

Acta Mathematicae Applicatae Sinica ›› 2012, Vol. 0 ›› Issue (4) : 649-662.

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Acta Mathematicae Applicatae Sinica ›› 2012, Vol. 0 ›› Issue (4) : 649-662. DOI: 10.12387/C2012050

Vanishing Viscosity Limits and Initial-Boundary-Value Problem for The Burger's Equation

  • LUO Lan1,2
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Abstract

In this paper, we study the vanishing viscosity limit for the viscous Burgers equation in the presence of physical boundary and prove the uniqueness and continuous dependence of the entropy weak solution to the corresponding initial-boundary-value problem (IBVP) for the inviscid Burgers equations.

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Burgers equations / vanishing viscosity limit / boundary condition / continuous dependence

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LUO Lan. Vanishing Viscosity Limits and Initial-Boundary-Value Problem for The Burger's Equation. Acta Mathematicae Applicatae Sinica, 2012, 0(4): 649-662 https://doi.org/10.12387/C2012050

References

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