Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0980.35150
Rodríguez-Blanco, Guillermo
On the Cauchy problem for the Camassa-Holm equation.
(English)
[J] Nonlinear Anal., Theory Methods Appl. 46, No.3, A, 309-327 (2001). ISSN 0362-546X

From the introduction: We study local and global well-posedness with respect to the real-valued solutions of the Cauchy problem associated to the Camassa-Holm equation $$u_t- u_{xxt}+ 3uu_x= 2u_x u_{xx}+ u_{xxx},\quad x\in \bbfR,\ t\in \bbfR,$$ that was derived recently as a new model for dispersive shallow water waves.
MSC 2000:
*35Q53 KdV-like equations
76B15 Wave motions (fluid mechanics)

Keywords: Kato's theory; Camassa-Holm equation; local and global well-posedness; real-valued solutions; Cauchy problem; dispersive shallow water waves

Highlights
Master Server