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Inviscid limit for SQG equation in different dispersive regimes via relative energy inequality |
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| Institution: | 1. Departamento de Matemática, Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Rua Sergio Buarque de Holanda, 651, 13083-859, Campinas - SP, Brazil;2. Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal do Rio de Janeiro, CEP 21941-909, Rio de Janeiro - RJ, Brazil |
| Abstract: | We consider the dissipative surface quasigeostrophic equation with a dispersive forcing term and study the relation of solutions with vanishing viscosity to solutions of the inviscid equation with strong, constant or no dispersion. We show convergence by developing estimates based on the relative energy inequality. |
| Keywords: | Dispersive SQG equation SQG equation Inviscid limit Large dispersive forcing |
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