Bibliographic Details
| Title: |
On exponential decay with depth for irrotational water waves. |
| Authors: |
Lokharu, Evgeniy1 (AUTHOR) evgeniy.lokharu@math.lu.se |
| Source: |
Journal of Fluid Mechanics. 5/10/2026, Vol. 1034, p1-9. 9p. |
| Subjects: |
Gravity waves, Stream function, Exponential decay law, Potential flow, Nonlinear waves, Flow velocity, Mathematical bounds |
| Abstract: |
We consider two-dimensional irrotational steady gravity waves and derive new explicit analytical bounds for the velocity field and the slope of the free surface. Using an auxiliary function tailored to the streamfunction formulation, we obtain an explicit exponential decay estimate which is optimal for linear waves. The same method yields a new slope estimate that improves existing bounds in the moderate-amplitude regime. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
