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Global weak solutions to the novikov equation

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 https://lynxpropertymanagement.net

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

Global weak solutions for the two-component Novikov equation

Category:Existence and uniqueness of the global conservative weak …

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Global weak solutions to the novikov equation

Global weak solutions to the Novikov equation - ScienceDirect

WebAug 1, 2013 · For e compressible version, local strong solutions of Euler–Vlasov equations was established in [2]. Global existence weak solutions for compressible … WebELECTRONIC RESEARCH ARCHIVEdoi:10.3934/era.2024081 Volume 28, Number 4, December 2024 pp. 1545{1562 GLOBAL WEAK SOLUTIONS FOR THE TWO …

Global weak solutions to the novikov equation

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WebFeb 22, 2024 · The blow up structures, global strong and weak solutions for the DP equation are considered in [16, 17]. Mi and Mu make use of detailed derivations to find the property of peakon solutions for a modified Novikov model. Himonas et al. construct two peakon solutions and illustrate the ill-posedness of the Novikov equation. WebApr 14, 2014 · We state the result of global strong solutions for problem ( 2 ). Theorem 1. Let , and for all or for all . Then problem ( 2) has a unique strong solution satisfying Definition 2. A function is called a global weak solution to problem ( 2) if for every and all , it holds that with .

WebMay 4, 2024 · We consider weak solutions of the Novikov equation that lie in the energy space \(H^1\) with non-negative momentum densities. We prove that a special family of … WebMay 31, 2024 · This work is supported by the NSF-China grant-11631007 and grant-11971251. In this paper, we provide a classification to the general two-component Novikov-type systems with cubic nonlinearities which admit multi-peaked solutions and H 1 -conservation law. Local well-posedness and wave breaking of solutions to the …

WebSep 29, 2015 · [Submitted on 29 Sep 2015] Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation Geng Chen, Robin Ming Chen, Yue Liu The integrable Novikov equation can be regarded as one of the Camassa-Holm-type equations with cubic nonlinearity. WebJul 31, 2024 · The two-component Novikov equation is an integrable generalization of the Novikov equation, which has the peaked solitons in the sense of distribution as the …

WebJan 4, 2011 · Abstract. In the paper, we mainly study the existence and uniqueness of global weak solutions for the Novikov equation. We first recall some results and …

WebApr 1, 2024 · We study global weak solutions to the Novikov equation by vanishing viscosity method. We prove that global weak solutions can be obtained as weak limits … fleche avec wordWeb报告摘要: As non-smooth solitons, peakons are special weak solutions of a class of nonlinear partial differential equations modelling non-linear phenomena such as the breakdown of regularity and the onset of shocks. One natural concept of peakons is dictated by the distributional compatibility of the Lax pairs. cheese selection box lidlWebNi and Zhou showed that the Novikov equation is well-posed in , > 3/2by applying Kato s semigroup theory and the Novikov equation is locally well-posed in the cheeses crustfleche barbelee wow tbcWebThis equation was derived by Novikov [21] in a symmetry classi cation of nonlocal PDEs with cubic nonlinearity, and can in some sense be related to the well-known Camassa … flèche basWebKey Words: Global weak solution, uniqueness, Novikov equation, integrable system, Camassa-Holm equation. 1. INTRODUCTION Consideration here is the initial-value … cheeses definitionWebThe global-in-time existence of weak solutions to the barotropic compressible quantum Navier–Stokes equations in a three-dimensional torus for large data is proved. The … cheese seattle