Integral and Asymptotic Properties of Solitary Waves in Deep Water
Integral and Asymptotic Properties of Solitary Waves in Deep Water
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深水中孤立波的积分和渐近性质
DOI：
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发表时间：
2016
影响因子：
3
通讯作者：
Miles H. Wheeler
中科院分区：
文献类型：
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作者：
Miles H. Wheeler
我们考虑二维和三维重力和重力毛细孤立水波在无限深。假设代数衰减率的自由表面和速度势，我们表明，速度势必然表现得像一个偶极子在无穷远，并获得一个相关的渐近公式的自由表面。然后，我们证明了一个身份有关的“偶极矩”的动能。这意味着渐近中的首阶项是非零的，特别是角动量是无穷大的。最后，我们证明了“多余质量”消失。© 2018作者。《纯粹与应用数学通讯》由柯朗数学科学研究所和威利期刊公司出版。
We consider two‐ and three‐dimensional gravity and gravity‐capillary solitary water waves in infinite depth. Assuming algebraic decay rates for the free surface and velocity potential, we show that the velocity potential necessarily behaves like a dipole at infinity and obtain a related asymptotic formula for the free surface. We then prove an identity relating the “dipole moment” to the kinetic energy. This implies that the leading‐order terms in the asymptotics are nonvanishing and in particular that the angular momentum is infinite. Lastly we prove that the “excess mass” vanishes. © 2018 the Authors. Communications on Pure and Applied Mathematics is published by the Courant Institute of Mathematical Sciences and Wiley Periodicals, Inc.
具有局域涡度的深水孤立波的存在、不存在和渐近
影响因子：
2.5
作者：
Chen, Robin Ming;Walsh, Samuel;Wheeler, Miles H.
通讯作者：
Wheeler, Miles H.