A non-local elliptic-hyperbolic system related to the short pulse equation

被引：10
|
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：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 190卷
关键词：
Existence; Uniqueness; Stability; Short pulse equation; Non-local formulation; Cauchy problem; NONHOMOGENEOUS INITIAL-BOUNDARY; OSTROVSKY-HUNTER EQUATION; REGULARIZED SHORT-PULSE; GLOBAL WELL-POSEDNESS; CONSERVATION-LAWS; LASER-PULSES; CONVERGENCE; SCATTERING; DYNAMICS; WELLPOSEDNESS;
D O I：
10.1016/j.na.2019.111606
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the well-posedness of a non-local elliptic-hyperbolic system related to the short pulse equation. It is a model which describes the evolution 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. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：28
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