On the Boltzmann equation for weakly nonlinear wave equations

Boltzmann’s Legacy ◽

10.4171/057-1/10 ◽

2009 ◽

pp. 145-159 ◽

Cited By ~ 1

Author(s):

Herbert Spohn

Keyword(s):

Boltzmann Equation ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Weakly Nonlinear ◽

The Boltzmann Equation

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An Asymptotic Theory for a System of Weakly Nonlinear Wave Equations

Trends in Applications of Mathematics to Mechanics ◽

10.1007/978-3-642-73933-0_6 ◽

1988 ◽

pp. 53-61

Author(s):

W. T. van Horssen

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Asymptotic Theory ◽

Nonlinear Wave Equations ◽

Weakly Nonlinear

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Derivation of Weakly Nonlinear Wave Equations for Pressure Waves in Bubbly Flows with Different Types of Nonuniform Distribution of Initial Flow Velocities of Gas and Liquid Phases

Journal of the Physical Society of Japan ◽

10.7566/jpsj.89.114403 ◽

2020 ◽

Vol 89 (11) ◽

pp. 114403

Author(s):

Taiki Maeda ◽

Tetsuya Kanagawa

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonuniform Distribution ◽

Bubbly Flows ◽

Nonlinear Wave Equations ◽

Pressure Waves ◽

Initial Flow ◽

Weakly Nonlinear ◽

Liquid Phases ◽

Different Types

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Periodic solutions of weakly nonlinear wave equations in unbounded intervals

Czechoslovak Mathematical Journal ◽

10.21136/cmj.1978.101539 ◽

1978 ◽

Vol 28 (3) ◽

pp. 343-355

Author(s):

Leopold Herrmann ◽

Milan Štědrý

Keyword(s):

Periodic Solutions ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Weakly Nonlinear ◽

Unbounded Intervals

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A Note on Extension of Fully Dispersive Weakly Nonlinear Wave Equations for Rapidly Varying Topography

Coastal Engineering Journal ◽

10.1142/s0578563401000323 ◽

2001 ◽

Vol 43 (3) ◽

pp. 143-160 ◽

Cited By ~ 8

Author(s):

Sung Bum Yoon ◽

Jun Woo Choi

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Weakly Nonlinear ◽

Rapidly Varying Topography

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Asymptotics for a class of weakly nonlinear wave equations with applications to some problems

World Congress of Nonlinear Analysts '92 ◽

10.1515/9783110883237.945 ◽

1996 ◽

pp. 945-952

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Weakly Nonlinear

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Weakly Nonlinear Wave Equations with Random Initial Data

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010) ◽

10.1142/9789814324359_0138 ◽

2011 ◽

Author(s):

Herbert Spohn

Keyword(s):

Initial Data ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Random Initial Data ◽

Weakly Nonlinear

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The Extended Jacobian Elliptic Function Expansion Method and Its Applications in Weakly Nonlinear Wave Equations

Journal of Hydrodynamics ◽

10.1016/s1001-6058(06)60016-4 ◽

2006 ◽

Vol 18 (3) ◽

pp. 352-361

Author(s):

Wen-hua Huang ◽

Yu-lu Liu ◽

Zhi-ming Lu ◽

Bo-ying Pan ◽

Mao-sheng Liu

Keyword(s):

Nonlinear Wave ◽

Elliptic Function ◽

Wave Equations ◽

Expansion Method ◽

Nonlinear Wave Equations ◽

Jacobian Elliptic Function ◽

Weakly Nonlinear ◽

Function Expansion

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Numerical study on acoustics in bubbly liquids based on weakly nonlinear wave equations

10.1063/1.4826010 ◽

2013 ◽

Author(s):

Tetsuya Kanagawa ◽

Ryu Egashira

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Numerical Study ◽

Nonlinear Wave Equations ◽

Weakly Nonlinear ◽

Bubbly Liquids

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Multiple-Scale Solution of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations on the Semi-Infinite Line

SIAM Journal on Applied Mathematics ◽

10.1137/0152054 ◽

1992 ◽

Vol 52 (4) ◽

pp. 946-958 ◽

Cited By ~ 3

Author(s):

S. C. Chikwendu ◽

C. V. Easwaran

Keyword(s):

Boundary Value Problems ◽

Nonlinear Wave ◽

Wave Equations ◽

Initial Boundary ◽

Multiple Scale ◽

Nonlinear Wave Equations ◽

Initial Boundary Value Problems ◽

Weakly Nonlinear ◽

Infinite Line ◽

Initial Boundary Value

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Erratum: “Derivation of Weakly Nonlinear Wave Equations for Pressure Waves in Bubbly Flows with Different Types of Nonuniform Distribution of Initial Flow Velocities of Gas and Liquid Phases” [J. Phys. Soc. Jpn. 89, 114403 (2020)]

Journal of the Physical Society of Japan ◽

10.7566/jpsj.90.078001 ◽

2021 ◽

Vol 90 (7) ◽

pp. 078001

Author(s):

Taiki Maeda ◽

Tetsuya Kanagawa

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonuniform Distribution ◽

Bubbly Flows ◽

Nonlinear Wave Equations ◽

Pressure Waves ◽

Initial Flow ◽

Weakly Nonlinear ◽

Liquid Phases ◽

Different Types

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