Symmetry of Solitary Water Waves with Vorticity

• Autores: Vera Mikyoung Hur
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 2-3, 2008, págs. 491-509
• Idioma: inglés
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• Resumen

  • Symmetry and monotonicity properties of solitary water-waves of positive elevation with supercritical values of parameter are established for an arbitrary vorticity. The proof uses the detailed knowledge of asymptotic decay of supercritical solitary waves at infinity and the method of moving planes.