T. Grava

activity

19972026

most citedUniversality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach

82 citations · 523 across the 45 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math-ph2012★ 4 cited

Critical asymptotic behavior for the Korteweg-de Vries equation and in random matrix theory

Tom Claeys, Tamara Grava

We discuss universality in random matrix theory and in the study of Hamiltonian partial differential equations. We focus on universality of critical behavior and we compare results…

math-ph2012★ 36 cited

Numerical study of the small dispersion limit of the Korteweg-de Vries equation and asymptotic solutions

T. Grava, C. Klein

We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation $u_{t} + 6 u u_{x} + ε^{2} u_{xxx} = 0$ for $ε ≪ 1$ and give a quantitative comparison of the numerical…