H2-solutions for an Ostrosky-Hunter type equation

被引：0

作者：

Coclite, Giuseppe Maria ^{[1
]}

di Ruvo, Lorenzo ^{[2
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Bari, Italy

[2] Univ Bari, Dipartimento Matemat, Bari, Italy

来源：

APPLICABLE ANALYSIS | 2025年 / 104卷 / 05期

关键词：

Existence; uniqueness; stability; Ostrosky-Hunter type equations; Cauchy problem; WEAK ROTATION LIMIT; GLOBAL WELL-POSEDNESS; NONHOMOGENEOUS INITIAL-BOUNDARY; GENERALIZED OSTROVSKY EQUATION; FINITE-DIFFERENCE SCHEME; REGULARIZED SHORT-PULSE; SOLITARY WAVES; CAUCHY-PROBLEM; CONTINUUM SPECTRUM; VAKHNENKO EQUATION;

D O I：

10.1080/00036811.2024.2384539

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Ostrosky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth, for the evolution of nonlinear propagation of optical pulses of a few oscillations duration in dielectric media, and for the evolution of the propagation of ultra-short light pulses in silica optical fibers. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem, associated with this equation.

引用

页码：854 / 879

页数：26

共 98 条

[1] A model equation for ultrashort optical pulses around the zero dispersion frequency
Amiranashvili, S.
Vladimirov, A. G.
Bandelow, U.
[J]. EUROPEAN PHYSICAL JOURNAL D, 2010, 58 (02) : 219 - 226
[2] Solitary-wave solutions for few-cycle optical pulses
Amiranashvili, Sh.
Vladimirov, A. G.
Bandelow, U.
[J]. PHYSICAL REVIEW A, 2008, 77 (06):
[3] BEALS R, 1989, STUD APPL MATH, V81, P125
[4] BENILOV ES, 1992, STUD APPL MATH, V87, P1
[5] Bespalov VG, 1998, J OPT TECHNOL+, V65, P823
[6] Method for analyzing the propagation dynamics of femtosecond pulses with a continuum spectrum in transparent optical media
Bespalov, VG
Kozlov, SA
Shpolyanskii, YA
[J]. JOURNAL OF OPTICAL TECHNOLOGY, 2000, 67 (04) : 303 - 308
[7] Simplified field wave equations for the nonlinear propagation of extremely short light pulses
Bespalov, VG
Kozlov, SA
Shpolyanskiy, YA
Walmsley, IA
[J]. PHYSICAL REVIEW A, 2002, 66 (01): : 138111 - 1381110
[8] Ostrovsky and Hunter's generic wave equation for weakly dispersive waves: matched asymptotic and pseudospectral study of the paraboloidal travelling waves (corner and near-corner waves)
Boyd, JP
[J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2005, 16 : 65 - 81
[9] LECTURES ON PLANE-WAVES IN REACTING GASES
CLARKE, JF
[J]. ANNALES DE PHYSIQUE, 1984, 9 (02) : 211 - 306
[10] A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain
Coclite, G. M.
Ridder, J.
Risebro, N. H.
[J]. BIT NUMERICAL MATHEMATICS, 2017, 57 (01) : 93 - 122

← 1 2 3 4 5 6 7 8 9 10 →