Publication: A uniqueness criterion for viscous limits of boundary Riemann problems
A uniqueness criterion for viscous limits of boundary Riemann problems
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Christoforou, C., & Spinolo, L. V. (2011). A uniqueness criterion for viscous limits of boundary Riemann problems. Journal of Hyperbolic Differential Equations, 8(3), 507–544. https://doi.org/10.1142/S0219891611002482
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We deal with initial-boundary value problems for systems of conservation laws in one space dimension and we focus on the boundary Riemann problem. It is known that, in general, different viscous approximations provide different limits. In this paper, we establish sufficient conditions to conclude that two different approximations lead to the same limit. As an application of this result, we show that, under reasonable assumptions, the self-similar second-order approximation and the classical viscous approximation provide the same limit
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- Christoforou, C
- Spinolo, L V
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Christoforou, C., & Spinolo, L. V. (2011). A uniqueness criterion for viscous limits of boundary Riemann problems. Journal of Hyperbolic Differential Equations, 8(3), 507–544. https://doi.org/10.1142/S0219891611002482
