On the solution for the initial-boundary value problem for a nonlocal elliptic-hyperbolic system related to the short pulse equation

被引：0

作者：

Coclite, Giuseppe Maria ^{[1
]}

di Ruvo, Lorenzo ^{[2
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, via E Orabona 4, I-70125 Bari, Italy

[2] Univ Bari, Dipartimento Matemat, via E Orabona 4, I-70125 Bari, Italy

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2025年 / 2025卷 / 01期

关键词：

Existence; Uniqueness; Nonlocal formulation; Short pulse equation; Initial-boundary value problem; OSTROVSKY-HUNTER EQUATION; FINITE-DIFFERENCE SCHEME; REGULARIZED SHORT-PULSE; GLOBAL WELL-POSEDNESS; CONSERVATION-LAWS; FEMTOSECOND PULSES; CONTINUUM SPECTRUM; OPTICAL PULSES; DYNAMICS; CONVERGENCE;

D O I：

10.1186/s13662-025-03963-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlocal elliptic-hyperbolic system related to short pulse equation. That equation describes the dynamics of the electrical field of linearly polarized continuum spectrum pulses in optical waveguides, including fused-silica telecommunication-type or photonic-crystal fibers, as well as hollow capillaries filled with transparent gases or liquids. We augment the equations with some boundary conditions and prove the well-posedness of the global in time distributional solution.

引用

页数：37

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