GLOBAL EXISTENCE OF SMOOTH SOLUTIONS AND STABILITY OF SOLITARY WAVES FOR A GENERALIZED BOUSSINESQ EQUATION

被引：293

作者：

BONA, JL ^{[1
]}

SACHS, RL ^{[1
]}

机构：

[1] PENN STATE UNIV,APPL RES LAB,UNIVERSITY PK,PA 16802

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1988年 / 118卷 / 01期

关键词：

D O I：

10.1007/BF01218475

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：15 / 29

页数：15

共 18 条

[1] SUFFICIENT CONDITIONS FOR STABILITY OF SOLITARY-WAVE SOLUTIONS OF MODEL-EQUATIONS FOR LONG WAVES [J].

ALBERT, JP ;

BONA, JL ;

HENRY, DB .

PHYSICA D, 1987, 24 (1-3) :343-366

[2] STABILITY OF SOLITARY WAVES [J].

BENJAMIN, TB .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 328 (1573) :153-+

[3] THE STABILITY OF INTERNAL SOLITARY WAVES [J].

BENNETT, DP ;

BROWN, RW ;

STANSFIELD, SE ;

STROUGHAIR, JD ;

BONA, JL .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1983, 94 (SEP) :351-379

[4] STABILITY OF SOLITARY WAVES IN SHALLOW-WATER [J].

BERRYMAN, JG .

PHYSICS OF FLUIDS, 1976, 19 (06) :771-777

[5] STABILITY THEORY OF SOLITARY WAVES [J].

BONA, J .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 344 (1638) :363-374

[6] STABILITY AND INSTABILITY OF SOLITARY WAVES OF KORTEWEG-DEVRIES TYPE [J].

BONA, JL ;

SOUGANIDIS, PE ;

STRAUSS, WA .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1987, 411 (1841) :395-412

[7] MODEL FOR 2-WAY PROPAGATION OF WATER WAVES IN A CHANNEL [J].

BONA, JL ;

SMITH, R .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1976, 79 (JAN) :167-182

[8]

Boussinesq J., 1877, MEMOIRES PRESENTES D, V23, P1

[9]

Boussinesq J., 1872, J MATH PURE APPL, V2, P55

[10]

COURANT R, 1953, METHODS MATH PHYSICS, V1

← 1 2 →