Results 41 to 50 of about 945,950 (190)

Long‐Term Regularity of 3D Gravity Water Waves [PDF]

Communications on Pure and Applied Mathematics, 2021
AbstractWe study a fundamental model in fluid mechanics—the 3D gravity water wave equation, in which an incompressible fluid occupying half the 3D space flows under its own gravity. In this paper we show long‐term regularity of solutions whose initial data is small but not localized.Our results include: almost global well‐posedness for unweighted ...
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The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants

, 2018
We derive a closed formula for the determinant of the Hankel matrix whose entries are given by sums of negative powers of the zeros of the regular Coulomb wave function.
Baricz, Árpád, Štampach, František
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Generating asymptotically plane wave spacetimes [PDF]

, 2002
In an attempt to study asymptotically plane wave spacetimes which admit an event horizon, we find solutions to vacuum Einstein's equations in arbitrary dimension which have a globally null Killing field and rotational symmetry.
A.A. Tseytlin, A.A. Tseytlin, B.R. Greene, D. Berenstein, D. Berenstein, D. Marolf, E. Witten, H.W. Lee, H.W. Lee, J.P. Gauntlett, L.A. Pando Zayas, M. Cvetic, M.S. Costa, Mukund Rangamani, N. Evans, P. Bain, R. Penrose, S.F. Ross, S.R. Das, U.H. Danielsson, V.E. Hubeny, V.E. Hubeny, Veronika E Hubeny, Y. Sugawara   +23 more
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Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation

SIAM Journal on Scientific Computing, 2022
We aim at the development and analysis of the numerical schemes for approximately solving the backward diffusion-wave problem, which involves a fractional derivative in time with order $ \in(1,2)$. From terminal observations at two time levels, i.e., $u(T_1)$ and $u(T_2)$, we simultaneously recover two initial data $u(0)$ and $u_t(0)$ and hence the ...
Zhengqi Zhang, Zhi Zhou
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Numerical Study on the Influence of Interceptor and Stern Flap on Ship Resistance and Motion Response in Regular Waves

Journal of Marine Science and Engineering
Stern flaps and interceptors are prevalent stern appendages on medium- to high-speed ships, designed to modify the sailing posture of ships and diminish resistance.
Kewei Song, Jie Gong, Jincun Ma, Qiang Xu, Yue Shi, Feng Xu   +5 more
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Frequency Response in Regular Waves

Journal of the Society of Naval Architects of Japan, 1987
The first report of the present investigation treats several methods of predicting the dynamic behaviour of an articulated column in regular waves. A straightforward solution is to integrate the equations of motion describing the behaviour of a column in waves to obtain timehistories of the motion. However, about thirty to forty periods of oscillations
Masataka Fujino, Toichi Fukasawa, Nozomi Sagara, Keiichi Nagayama   +3 more
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Influence of interceptor on ship resistance and motion characteristics in regular waves

Zhongguo Jianchuan Yanjiu
ObjectivesThis study analyzes the influence of interceptors on the resistance and motion characteristics of ships in regular waves.MethodsTaking a semi-displacement ship as the research object, the numerical simulation of its resistance and motion ...
Kewei SONG, Jie GONG, Haiyan YANG, Shenwei GE   +3 more
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Numerical Study of a Proposed Semi-Submersible Floating Platform with Different Numbers of Offset Columns Based on the DeepCwind Prototype for Improving the Wave-Resistance Ability

Applied Sciences, 2019
DeepCwind semi-submersible floating offshore wind turbines have been widely examined, and in some countries this type of floating offshore wind turbine has been adopted in the construction of floating wind farms.
Zhenqing Liu, Yicheng Fan, Wei Wang, Guowei Qian   +3 more
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Experimental Study on 2D Motion Characteristics of Submerged Floating Tunnel in Waves

Journal of Marine Science and Engineering, 2020
Submerged floating tunnel (SFT) is a new type of transportation infrastructure for crossing sea straits in relatively deeper water. Compared with the fixed tunnel, the main challenge in designing a SFT is the stability maintaining in a complex ...
Zhiwen Yang, Jinzhao Li, Huaqing Zhang, Chunguang Yuan, Hua Yang   +4 more
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Dispersive estimates for massive Dirac operators in dimension two

, 2017
We study the massive two dimensional Dirac operator with an electric potential. In particular, we show that the $t^{-1}$ decay rate holds in the $L^1\to L^\infty$ setting if the threshold energies are regular.
Erdoğan, M. Burak, Green, William R., Toprak, Ebru   +2 more
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