# Small-amplitude steady water waves with critical layers: Non-symmetric waves

@article{Lokharu2019SmallamplitudeSW, title={Small-amplitude steady water waves with critical layers: Non-symmetric waves}, author={Evgeniy Lokharu and Vladimir A. Kozlov}, journal={Journal of Differential Equations}, year={2019} }

## 4 Citations

### Two-dimensional solitary waves of elevation over constant vorticity flows with a near-bottom stagnation

- Environmental Science, Physics
- 2019

The two-dimensional free-boundary problem describing steady gravity waves with negative constant vorticity on water of finite depth is considered. For all sufficiently large values of the vorticity…

### Global Bifurcation of Waves with Multiple Critical Layers

- Physics, MathematicsSIAM J. Math. Anal.
- 2020

Analytic global bifurcation theory is used to construct a large variety of families of steady periodic two-dimensional gravity water waves with real-analytic vorticity distributions, propagating in…

### Solitary waves on constant vorticity flows with an interior stagnation point

- MathematicsJournal of Fluid Mechanics
- 2020

Abstract The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Under the assumption that the vorticity is a negative…

### Symmetric solutions of evolutionary partial differential equations

- Mathematics
- 2017

We show that for a large class of evolutionary nonlinear and nonlocal partial differential equations, symmetry of solutions implies very restrictive properties of the solutions and symmetry axes.…

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