Ill-posedness issues for the Benjamin-Ono and related equations

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 4, 2001, Pages 982-988

  Molinet, L ^a   Saut, J C ^a   Tzvetkov, N ^a  

^a UNIVERSITÉ PARIS 13   (France)

Author keywords

Benjamin Ono equation; Cauchy problem; Ill posedness; Internal long waves

Indexed keywords

EID: 0035555622     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141001385307     Document Type: Article

References (23)

1. Model equations for waves in stratified fluids
2. Nonlocal models for nonlinear, dispersive waves
3. The inverse scattering transform for the Benjamin-Ono equation, a pivot for multidimensional problems
4. Internal waves of permanent form in fluids of great depth
5. Fourier transform restriction phenomena for Certain lattice subsets and application to nonlinear evolution equations II. The KdV equation
6. Periodic Korteweg de Vries equation with measures as initial data
7. The scattering transform for the Benjamin-Ono equation
8. On the Cauchy problem for the Benjamin-Ono equation
9. Propriétés de lissage et existence de solutions pour l'équation de Benjamin-Ono généralisée
10. Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
11. Well-posedness of the initial value problem for the Korteweg-de Vries equation
12. Well-posedness and scattering results for the generalized KdV equations via the contraction principle
13. On the generalized Benjamin-Ono equation
14. Weakly nonlinear internal gravity waves in stratified fluids of finite depth
15. Weakly nonlinear waves in rotating fluids
16. Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
17. On the global well-posedness of the Benjamin-Ono equation
18. Sur quelques généralisations de l'équation de Korteweg-de Vries
19. Nonlinear dynamics of vorticity waves in the coastal zone
20. Nonlinear Kelvin and continental-shelf waves
21. Smoothing properties of some weak solutions of the Benjamin-Ono equation
22. Remark on the local ill-posedness for KdV equation