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Global weak solutions to the novikov equation

WebNi 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 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 ...

Equations of the Camassa-Holm hierarchy - Academia.edu

WebOct 11, 2016 · For these particular operators in the theory, weak decays are the appropriate experimental setup . For single beta decay, the observable signatures of Lorentz and CPT violation appear due to the modified dispersion relation of the antineutrino as well as the altered spinor solutions of the equation of motion . Near the endpoint of the beta ... 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. pericles formation https://bel-bet.com

On the weakly dissipative Camassa–Holm, Degasperis–Procesi, and Novikov …

WebApr 30, 2024 · Global weak solutions for the two-component Novikov equation He Cheng and Qu Changzheng School of Mathematics and Statistics and Center for Nonlinear Studies, Ningbo University, Ningbo 315211, China Received: April 30, 2024 Revised: June 30, 2024 Early access: July 2024 Published: November 2024 A generalization of the Camassa–Holm equation, a model for shallow water … Firstly, we prove that the Cauchy problem for the Novikov equation is locally well … Analogous to the Camassa–Holm equation and the Degasperis–Procesi equation, … The Novikov equation possesses the explicit formulas for multipeakon … On the other hand, it has global weak solutions in H 1 (I) [34,65,66] and global … Existence and uniqueness results for global weak solutions of the Camassa–Holm … In this paper we consider the Cauchy problem for the integrable Novikov … The well-posedness of the global strong and weak solutions for the Novikov … The Novikov equation also enjoys two other important properties of the CH equation: … In this paper, a new modified Novikov equation is introduced. Multiple exact … WebAug 1, 2013 · Let u (t, x) and v (t, x) be related by v (t, x)= e −λt u ( 1− e −2λt 2λ , x ) . (2.5) en v satisfies the weakly dissipative Novikov equation (2.3) if and only if u satisfies the Novikov equa- n (2.4). mark 2.4. The dissipative and non-dissipative solutions in (2.2) coincide at time t = 0. pericles funeral oration athenian democracy

Existence and uniqueness of the global conservative weak …

Category:arXiv:2006.14260v1 [math.AP] 25 Jun 2024

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Global weak solutions to the novikov equation

The two-component Novikov-type systems with peaked solutions …

WebAug 1, 2013 · For e compressible version, local strong solutions of Euler–Vlasov equations was established in [2]. Global existence weak solutions for compressible … Webthat the Cauchy problem of the Novikov equation (1.2) has global strong solutions when the initial data u0 ∈ Hs, s>3/2 [28,35,54,56]. The existence of global weak solutions to the Cauchy problem of the Novikov equation (1.2) was also discussed in [40]. It is worth noting that the Novikov equation (1.2) can be viewed as a cubic generalization ...

Global weak solutions to the novikov equation

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WebKey Words: Global weak solution, uniqueness, Novikov equation, integrable system, Camassa-Holm equation. 1. INTRODUCTION Consideration here is the initial-value … WebThis 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 …

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 … 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 …

WebGlobal existence for n ˘2K 25 5.3. ... [24] or the Novikov equation [50], one observes pairing or even more elaborate patterns of clustering of peakons in the asymptotic region [34,35]. At the same time, for still not ... Thus [11] discusses the concept of weak solutions for the CH equation that set the stage for numerous 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 .

WebMore precisely, there exist two sequences of weak solutions and in of ( 1) and ( 2) such that, for any , there hold the following estimates: where only depend on . We outline the rest of the paper. In the next section, we give some preliminaries. We deal with the blow-up criterion and prove Theorems 2 and 3 in Section 3.

pericles georgallisWebNov 30, 2016 · Conservative Weak Solutions for the Integrable Novikov Equation Geng Chen, Robin Ming Chen & Yue Liu ABSTRACT. The integrable Novikov equation can … pericles funeral speech pdfWebThe 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 … pericles funeral oration main idea