研究発表 - 井口　達雄

Shallow water approximations for water waves

井口 達雄

Seminar on Nonlinear PDE in Nara （奈良女子大学） , 

2013年03月

, 

口頭発表（一般）

半空間における軸方向流を考慮した渦糸の運動

相木 雅次，井口 達雄

日本流体力学会 年会2012 （高知大学） , 

2012年09月

, 

口頭発表（一般）

Shallow water approximations for water waves over a moving bottom

井口 達雄

Emerging Topics on Differential Equations and their Applications -- Sino-Japan Conference of Young Mathematicians （Chern Institute of Mathematics, Nankai Unversity, Tianjin, China） , 

2011年12月

, 

口頭発表（招待・特別）

Motion of a vortex filament with axial flow in the half-space

井口 達雄

Third China-Japan Workshop on Mathematical Topics from Fluid Mechanics （Northwest University, Xian, China） , 

2011年10月

, 

口頭発表（招待・特別）

Motion of a vortex filament with axial flow in the half space

相木 雅次，井口 達雄

日本数学会秋季総合分科会 （信州大学） , 

2011年10月

, 

口頭発表（一般）

Shallow water approximations for water waves over a moving bottom

井口 達雄

The 4th MSJ-SI: Mathematical Society of Japan， Nonlinear Dynamics in Partial Differential Equations （Centennial Hall, Kyushu University School of Medicine） , 

2011年09月

, 

口頭発表（招待・特別）

Shallow water approximations for water waves over a moving bottom

井口 達雄

研究集会「第３回若手による流体セミナー」 （富山大学人間発達科学部） , 

2011年09月

, 

口頭発表（一般）

Shallow water approximations for water waves over a moving bottom

井口 達雄

One Forum, Two Cities: Aspect of Nonlinear PDEs （New Mathematics Building, National Taiwan University, Taipei） , 

2011年08月

, 

口頭発表（一般）

Shallow water approximations for water waves over a moving bottom

井口 達雄

研究集会「流体と気体の数学解析」 （京都大学数理解析研究所） , 

2011年07月

, 

口頭発表（一般）

水の波の双曲性と分散性について

井口 達雄

RIMS共同研究「非線形双曲型および分散型方程式の研究」 （京都大学数理解析研究所） , 

2011年05月

, 

口頭発表（一般）

A mathematical analysis of tsunami generation in shallow water due to seabed deformation

井口 達雄

Workshop on qualitative and numerical aspect of water waves and other interface problems （The Erwin Schrodinger International Institute for Mathematical Physics, Vienna, Austria） , 

2011年05月

, 

口頭発表（一般）

Shallow water approximations for water waves over a moving bottom

井口 達雄

偏微分方程式と数理物理学 （芝欄会館別館研修室２） , 

2010年11月

, 

口頭発表（招待・特別）

A mathematical analysis of tsunami generation in shallow water due to seabed deformation

井口 達雄

非線形波動現象の多様性と普遍性 （京都大学数理解析研究所） , 

2010年10月

, 

口頭発表（一般）

A mathematical analysis of tsunami generation in shallow water due to seabed deformation

井口 達雄

洞爺解析セミナー （洞爺山水ホテル和風） , 

2010年09月

, 

口頭発表（一般）

Motion of a vortex filament in the half space

相木 雅次，井口 達雄

日本数学会秋季総合分科会 （名古屋大学） , 

2010年09月

, 

口頭発表（一般）, 日本数学会

A mathematical analysis of tsunami generation in shallow water due to seabed deformation

井口 達雄

Mathematical Theory for Navier-Stokes Equations in Various Domains （北海道大学遠友学舎） , 

2010年03月

, 

口頭発表（一般）

　概要を見る

In numerical simulation of tsunamis due to submarine earthquakes, one usually uses the shallow water equations by assuming that the initial displacement of water surface is equal to the permanent deformation of seabed and that there is no initial velocity field.
In this talk, starting from the full water wave problem (a free boundary problem for an irrotational flow of an incompressible ideal fluid under the gravitational field) we derive mathematically rigorously the shallow water model mentioned above, that is, we will show that the solution of the full water wave problem can be approximated by the solution of the shallow water model in some limits of parameters. Moreover, we report that in some case we have to take some initial velocity field, which arises as a nonlinear effect, into account as initial data.

A mathematical analysis of tsunami generation in shallow water due to seabed deformation

井口 達雄

研究集会「微分方程式の総合的研究」 （東京大学数理科学研究科大講義室） , 

2009年12月

, 

口頭発表（一般）, 日本数学会 函数方程式論分科会

　概要を見る

In numerical simulation of tsunamis due to submarine earthquakes, one usually uses the shallow water equations by assuming that the initial displacement of water surface is equal to the permanent deformation of seabed and that there is no initial velocity field.
In this talk, starting from the full water wave problem (a free boundary problem for an irrotational flow of an incompressible ideal fluid under the gravitational field) we derive mathematically rigorously the shallow water model mentioned above, that is, we will show that the solution of the full water wave problem can be approximated by the solution of the shallow water model in some limits of parameters. Moreover, we report that in some case we have to take some initial velocity field, which arises as a nonlinear effect, into account as initial data.

A mathematical analysis of tsunami generation in shallow water due to seabed deformation

井口 達雄

Second Japan-China Workshop on Mathematical Topics from Fluid Mechanics （九州大学西新プラザ） , 

2009年11月

, 

口頭発表（一般）

　概要を見る

In numerical simulation of tsunamis due to submarine earthquakes, one usually uses the shallow water equations by assuming that the initial displacement of water surface is equal to the permanent deformation of seabed and that there is no initial velocity field.
In this talk, starting from the full water wave problem (a free boundary problem for an irrotational flow of an incompressible ideal fluid under the gravitational field) we derive mathematically rigorously the shallow water model mentioned above, that is, we will show that the solution of the full water wave problem can be approximated by the solution of the shallow water model in some limits of parameters. Moreover, we report that in some case we have to take some initial velocity field, which arises as a nonlinear effect, into account as initial data.

A mathematical analysis of tsunami generation in shallow water due to seabed deformation

井口 達雄

International Conference on Applied Analysis and Scientific Computation （Shanghai Normal University, Shanghai, CHINA） , 

2009年06月

, 

口頭発表（一般）

　概要を見る

In numerical simulation of tsunamis due to submarine earthquakes, one usually uses the shallow water equations by assuming that the initial displacement of water surface is equal to the permanent deformation of seabed and that there is no initial velocity field.
In this talk, starting from the full water wave problem (a free boundary problem for an irrotational flow of an incompressible ideal fluid under the gravitational field) we derive mathematically rigorously the shallow water model mentioned above, that is, we will show that the solution of the full water wave problem can be approximated by the solution of the shallow water model in some limits of parameters. Moreover, we report that in some case we have to take some initial velocity field, which arises as a nonlinear effect, into account as initial data.

A mathematical analysis of tsunami generation in shallow water due to seabed deformation

井口 達雄

International Conference on Kinetic and Related Models （Wuhan University, Wuhan, CHINA） , 

2009年04月

, 

口頭発表（一般）

　概要を見る

In numerical simulation of tsunamis due to submarine earthquakes, one usually uses the shallow water equations by assuming that the initial displacement of water surface is equal to the permanent deformation of seabed and that there is no initial velocity field.
In this talk, starting from the full water wave problem (a free boundary problem for an irrotational flow of an incompressible ideal fluid under the gravitational field) we derive mathematically rigorously the shallow water model mentioned above, that is, we will show that the solution of the full water wave problem can be approximated by the solution of the shallow water model in some limits of parameters. Moreover, we report that in some case we have to take some initial velocity field, which arises as a nonlinear effect, into account as initial data.