| LOCAL BIFURCATION OF STEADY ALMOST PERIODIC WATER WAVES WITH CONSTANT VORTICITY |
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| 作者姓名： | 罗巍 殷朝阳 |
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| 作者单位： | Department of Mathematics, Sun Yat-sen University |
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| 基金项目： | partially supported by the National Key R&D Program of China (2021YFA1002100)；;the NSFC (12171493, 11701586)；;the Key Project of NSF of Guangdong Province(2021A1515010296)； |
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| 摘 要： | In this paper we investigate the traveling wave solution of the two dimensional Euler equations with gravity at the free surface over a flat bed. We assume that the free surface is almost periodic in the horizontal direction. Using conformal mappings, one can change the free boundary problem into a fixed boundary problem for some unknown functions with the boundary condition. By virtue of the Hilbert transform, the problem is equivalent to a quasilinear pseudodifferential equation for an almost ...
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