The cauchy problem for the novikov equation

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August undefined, 2024

網頁2014年4月30日 · In this paper, we consider the following Cauchy problem of the modified Novikov equation: where the coefficients and are positive constants. In [ 1 ], Lai et al. presented the global existence of strong solutions and gave a blow-up scenario of strong solutions to the equation. 網頁2012年1月13日 · This work studies the initial value problem for a Camassa–Holm type equation with cubic nonlinearities that has been recently discovered by Vladimir Novikov to be integrable. For s > 3/2, using ...

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網頁In this paper, we consider the following Cauchy problem of the two-component Novikov equation It was shown in [1] that the system (1) is exactly a negative flow in the hierarchy … 網頁2024年12月20日 · This paper investigates the Cauchy problem of a generalized Camassa-Holm equation with quadratic and cubic nonlinearities (alias the mCH-Novikov-CH … fltrx yield

[PDF] The Cauchy Problem For Solutions Of Elliptic Equations Full …

網頁2024年1月2日 · This equation was proposed by Novikov as a new integrable equation with cubic nonlinearities in []. Meanwhile, a Hamiltonian structure, an infinite sequence of … 網頁2006年8月18日 · Minimax Inequalities and Hamilton-Jacobi equations Moscow: Nauka. in Russian [Google Scholar]. They are also grateful to Professor Stanley Osher for pointing out [26] Osher, S. 1993. A level set formulation for the … 網頁2013年11月25日 · The present paper focuses on the Cauchy problem for the following modified Novikov equation: MathML (1.1) where b, MathML and MathML are arbitrary constants. Our main purpose of this paper is to establish the well-posedness in the critical Besov space MathML and persistence in a weighted Sobolev space. flts30s28

Global weak solutions for the Novikov equation - IOPscience

On the Cauchy problem and peakons of a two-component Novikov …

網頁Abstract: We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by Novikov. Like the Camassa–Holm and Degasperis–Procesi … 網頁2016年3月29日 · the line for the Novikov equation $u_t-u_{txx}+4u^2u_x=3u u_xu_{xx}+u^2u_{xxx}$ in the case of a nonzero background. The approach based on an associated Riemann-Hilbert problem allows us to give a representation of the solution to the Cauchy problem, which can be efficiently used in studying its long-time behavior. … flts24s18網頁2014年9月24日 · By using the transport equation theory and Littlewood-Paley decomposition as well as nonhomogeneous Besov spaces, we prove that the Cauchy problem for the … green drive southall

"網頁2 天前 · Download a PDF of the paper titled The Cauchy problem for Boltzmann bi-linear systems: The mixing of monatomic and polyatomic gases, by Ricardo J. Alonso and 2 other authors Download PDF Abstract: From a unified vision of vector valued solutions in weighted Banach spaces, this manuscript establishes the existence and uniqueness for space … " - The cauchy problem for the novikov equation

The cauchy problem for the novikov equation

$Existence and regularity for global solutions including breaking waves from Camassa-Holm and Novikov equations to $\lambda$-family equations …$

網頁In the field of mathematical physics, there exist many physically interesting nonlinear dispersive equations with peakon solutions, which are solitary waves with discontinuous first-order derivative at the wave peak. I… 網頁2012年1月13日 · This work studies the initial value problem for a Camassa–Holm type equation with cubic nonlinearities that has been recently discovered by Vladimir …

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網頁2024年4月19日 · Abstract Considered herein is the Cauchy problem of the μ-Novikov equation in the periodic setting. We first prove the existence and uniqueness of local analytic solution of this problem... 網頁2010年9月9日 · We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. Like the Camassa-Holm and Degasperis-Procesi equations, Novikov's equation has Lax pair representations and admits peakon solutions, but it has nonlinear terms that are cubic, rather than quadratic.

網頁2024年1月17日 · In this paper, we consider the Cauchy problem for the Camassa-Holm-Novikov equation. First, we establish the local well-posedness and the blow-up scenario. … 網頁2010年9月9日 · Abstract: We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. Like the Camassa-Holm and …

網頁2012年1月13日 · Abstract. This work studies the initial value problem for a Camassa–Holm type equation with cubic nonlinearities that has been recently discovered by Vladimir … 網頁For the sake of brevity we shall rewrite the Cauchy problem of Novikov’s equation as follows: ∂ tu+ u2∂ xu+ F(u) = 0, (2.1) u(x,0) = u 0(x), (2.2) where F(u) = F 1(u)+ F 2(u)+ F …

網頁In this paper, we study the nonlinear Klein-Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for the Cauchy problem. (C) 2016 Elsevier Inc.

網頁A. Alexandrou Himonas and Curtis Holliman, The Cauchy problem for the Novikov equation, Nonlinearity 25 (2012), no. 2, 449–479. MR 2876876, DOI 10.1088/0951-7715/25/2/449 A. Alexandrou Himonas and John Holmes, Hölder continuity of the solution map for the Novikov equation, J. Math. Phys. 54 (2013), no. 6, 061501, 11. green drives chicago網頁arXiv:1509.06078v1 [nlin.SI] 21 Sep 2015 The Cauchy problem for thegeneralized hyperbolic Novikov-Veselov equation V.A. Yurov∗ and A.V. Yurov† Baltic Federal University of I. Kant, Theoretical Physics Department, Al.Nevsky St. 14, … fltsap.com網頁2024年7月22日 · Yue CAO Yachun LI Abstract In this paper,the authors study the Cauchy problem of n-dimensional isentropic Euler equations and Euler-Boltzmann equations with vacuum in the whole space.They show that if the initial … green driveway cost網頁2024年4月9日 · Abstract Volume and surface potentials arising in Cauchy problems for nonlinear equations in the theory of ion acoustic and drift waves in a plasma are considered, and their properties are examined. For the volume potential, an estimate is derived, which is used to prove a Schauder-type a priori estimate and Schauder-type … greendrop acceptable items fltrxs road glide motorcycle網頁2024年4月13日 · This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of Hadamard. To solve this problem, a mollification approach is suggested based on a bilateral exponential kernel and this is a new approach. flt safe working procedure網頁2012年11月30日 · By using the Littlewood-Paley decomposition and nonhomogeneous Besov spaces, we prove that the Cauchy problem for the generalized Novikov equation is locally well-posed in Besov space B p, r s with 1 ≤ p, r ≤ + ∞ and s > m a x { 1 + 1 p, 3 2 }. green drop acceptable donation items