五阶Kudryashov-Sinelshchikov-Olver方程的全局H4解

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Journal of Hyperbolic Differential Equations Pub Date : 2022-06-01 DOI:10.1142/s0219891622500060

G. Coclite, Lorenzo di Ruvo

引用次数: 0

摘要

五阶Kudryashov-Sinelshchikov-Olver方程是描述短波与长波相互作用的非线性偏微分方程。这里，我们证明了与该方程相关的柯西问题解的整体存在性。

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Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation

The fifth-order Kudryashov–Sinelshchikov–Olver equation is a nonlinear partial differential equation, which describes the interactions between short waves and long waves. Here, we prove the global existence of solutions for the Cauchy problem associated with this equation.

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来源期刊

Journal of Hyperbolic Differential Equations 数学-物理：数学物理

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics. The Journal welcomes contributions in: Theory of nonlinear hyperbolic systems of conservation laws, addressing the issues of well-posedness and qualitative behavior of solutions, in one or several space dimensions. Hyperbolic differential equations of mathematical physics, such as the Einstein equations of general relativity, Dirac equations, Maxwell equations, relativistic fluid models, etc. Lorentzian geometry, particularly global geometric and causal theoretic aspects of spacetimes satisfying the Einstein equations. Nonlinear hyperbolic systems arising in continuum physics such as: hyperbolic models of fluid dynamics, mixed models of transonic flows, etc. General problems that are dominated (but not exclusively driven) by finite speed phenomena, such as dissipative and dispersive perturbations of hyperbolic systems, and models from statistical mechanics and other probabilistic models relevant to the derivation of fluid dynamical equations. Convergence analysis of numerical methods for hyperbolic equations: finite difference schemes, finite volumes schemes, etc.