Abstract
We investigate a more general family of one-dimensional shallow water equations with a weakly dissipative term. First, we establish blow-up criteria for this family of equations. Then, global existence of the solution is also proved. Finally, we discuss the infinite propagation speed of this family of equations.
Citation
Jingjing Xu. Zaihong Jiang. "On the Cauchy Problem for a Class of Weakly Dissipative One-Dimensional Shallow Water Equations." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/851476