Strichartz estimates and local existence for the gravity-capillary waves with non-Lipschitz initial velocity
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Publication:272255
DOI10.1016/j.jde.2016.03.011zbMath1344.35113arXiv1507.08918OpenAlexW2337001871MaRDI QIDQ272255
Quang-Huy Nguyen, Thibault de Poyferré
Publication date: 20 April 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.08918
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Free-surface potential flows for incompressible inviscid fluids (76B07)
Related Items
Recent advances on the global regularity for irrotational water waves ⋮ Low regularity solutions for gravity water waves II: the 2D case ⋮ A paradifferential approach for well-posedness of the Muskat problem ⋮ A sharp Cauchy theory for the 2D gravity-capillary waves ⋮ Low regularity solutions for gravity water waves ⋮ Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations ⋮ The water wave problem and Hamiltonian transformation theory ⋮ A Paradifferential Reduction for the Gravity-capillary Waves System at Low Regularity and Applications ⋮ On well-posedness of the Muskat problem with surface tension ⋮ Sharp Strichartz estimates for water waves systems ⋮ A Morawetz inequality for gravity-capillary water waves at low bond number
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