Wave-breaking phenomena and global existence for the generalized Fornberg-Whitham equation

Higher-order asymptotic profiles of the solutions to the viscous Fornberg–Whitham equation

“…Moreover, Haziot [9] obtained a different blow-up condition for (1.2) with β = 1, which includes only the parameter B. Recently, Itasaka [11] proposed a new blow-up condition for (1.2) with β = 1, which includes the both parameters (B, b). In addition to the blow-up result, he investigated some relations between the Fornberg-Whitham equation (1.2) and the inviscid Burgers equation.…”

Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation

“…Recently, Haziot [11] obtained a blow-up condition for (1.2) with β = 1, which includes only the parameter B. Moreover in [14], the second author proposed a different blow-up condition for (1.2) with β = 1, which includes the parameters B and b. Also, he investigated some relations between the Fornberg-Whitham equation (1.2) and the inviscid Burgers equation.…”