Global weak solutions for a two-component Novikov system
Zhigang Li
TL;DR
This paper proves the existence and uniqueness of global weak solutions for a two-component Novikov system, advancing the mathematical understanding of this nonlinear PDE system.
Contribution
It introduces a method using approximation of smooth solutions to establish global weak solutions and their uniqueness for the two-component Novikov system.
Findings
Existence of global weak solutions is established.
Uniqueness of these solutions is proven.
The approach uses approximation techniques for smooth solutions.
Abstract
In this paper, we mainly consider about the existence and uniqueness of global weak solutions for the two-component Novikov system. We first recall some results and definitions of strong solutions and weak solutions for the system, then by using the method of approximation of smooth solutions, we prove the existence and uniqueness of global weak solutions of the system.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems