Schrodinger-improved Boussinesq system in two space dimensions

被引：3
作者：
Ozawa, Tohru [1 ]
Tomioka, Kenta [1 ]
机构：
[1] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2022年 / 22卷 / 02期
关键词：
Schrodinger-improved Boussinesq system; Zakharov system; Global solutions; WELL-POSEDNESS; GLOBAL EXISTENCE; CAUCHY-PROBLEM; LANGMUIR TURBULENCE; ZAKHAROV SYSTEM; EQUATIONS; SCATTERING; UNIQUENESS; NLS; 1D;
D O I：
10.1007/s00028-022-00793-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Cauchy problem for the Schrodinger-improved Boussinesq system in a twodimensional domain. Under natural assumptions on the data without smallness, we prove the existence and uniqueness of global strong solutions. Moreover, we consider the vanishing "improvement" limit of global solutions as the coefficient of the linear term of the highest order in the equation of ion sound waves tends to zero. Under the same smallness assumption on the data as in the Zakharov case, solutions in the vanishing "improvement" limit are shown to satisfy the Zakharov system.
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页数：16
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