WebNov 30, 2016 · We rewrite the initial value problem of the Novikov equation in the following weak form: (1.3) ut + u2ux + dxP' + P2 = 0, (1.4) w(0,x) = Uo(x), where we denote that (1.5) Pi := p * ( wt4 + w3) , P2:= p*Wx. 2396 Geng Chen, Robin Ming Chen & Yue Liu with p = 56"'*' . The weak solution we seek here is defined in the following. WebSep 29, 2015 · Abstract: The integrable Novikov equation can be regarded as one of the Camassa-Holm-type equations with cubic nonlinearity. In this paper, we prove the global …
Global weak solutions to the Novikov equation by viscous …
WebEnter the email address you signed up with and we'll email you a reset link. WebAug 6, 2009 · Abstract. We classify generalized Camassa–Holm-type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5. We present the corresponding Lax representations or linearization ... fleche back anos 80 e 90 internacional
Global weak solutions to the Novikov equation
WebJournal of Differential Equations. Volume 267, Issue 9, 15 October 2024, Pages 5049-5083. ... Cauchy problem for a mathematical model of the equatorial water waves propagating mainly in one direction with the weak Coriolis effect due to the Earth's rotation, which reduces to the Camassa-Holm equation as the Coriolis effect vanishes. ... WebNov 1, 2024 · [2111.01030v1] Existence and regularity for global solutions including breaking waves from Camassa-Holm and Novikov equations to $λ$-family equations In this paper, we prove the global existence of Hölder continuous solutions for the Cauchy problem of a family of partial differential equations, named as $λ$-family equations, … WebOct 21, 2024 · In this paper, we study the existence of global conservative solutions to a two-component Novikov system. The system is an integrable multi-component … cheeses during pregnancy