## dedicated to professor rentaro agemi on his sixtieth birthday We show the time-local well-posedness for a system of nonlinear dispersive equations for the water wave interaction It is shown that for any initial data (u 0 , v 0 ) # H s (R)\_H s&1Γ2 (R) (s 0), the solution for the above equation
The resonant interaction among long and short waves
β Scribed by Yan-Chow Ma
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 494 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0165-2125
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The interaction of long and short waves in a rarefied monodisperse mixture of a weakly compressible liquid containing bubbles of gas is considered. It is shown that the equations describing the dynamics of the perturbations in the bubbly liquid admit of the existence of short-wave-long-wave Benney-Z
The interaction between a unidirectional deep-water short-wave train and an intermediate water-depth long wave is studied. The steady solutions are derived up to third order in wave steepness, respectively, using two different approaches: a conventional perturbation method employing linear phase fun
## Communicated by B. Brosowski This paper concerns the orbital stability for solitary waves of the ΒΈong ΒΌave-Short ΒΌave resonance equations. Since the abstract results of Grillakis et al. [7,8] cannot be applied directly, we can extend the abstract stability theory and use the detailed spectral a