Browsing by Author "Spinolo, L. V."
Now showing items 1-4 of 4
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Article
Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems
Christoforou, Cleopatra; Spinolo, L. V. (2013)We provide a precise description of the set of residual boundary conditions generated by the self-similar viscous approximation introduced by Dafermos et al. We then apply our results, valid for both conservative and ...
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Article
On the extension property of reifenberg-flat domains
Lemenant, A.; Milakis, E.; Spinolo, L. V. (2014)We provide a detailed proof of the fact that any open set whose boundary is sufficiently flat in the sense of Reifenberg is also Jones-flat, and hence it admits an extension operator. We discuss various applications of ...
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Article
Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
Lemenant, A.; Milakis, E.; Spinolo, L. V. (2013)In this paper we establish new quantitative stability estimates with respect to domain perturbations for all the eigenvalues of both the Neumann and the Dirichlet Laplacian. Our main results follow from an abstract lemma ...
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A uniqueness criterion for viscous limits of boundary Riemann problems
Christoforou, Cleopatra; Spinolo, L. V. (2011)We deal with the initial boundary value problem 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 ...