The Lifespan of Solutions for a Boussinesq‐Type Model
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.11067
Abstract: This paper investigates a class of Boussinesq‐type equations in a bounded domain Ω⊂ℝn$$ \Omega \subset {\mathbb{R}}^n $$ subject to clamped or hinged boundary conditions. The local existence of weak solutions is proven using the classical… read more here.
Keywords: energy; lifespan solutions; solutions boussinesq; boussinesq type ... See more keywords
Compound Boussinesq-type modelling over porous beds
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DOI: 10.1016/j.apor.2020.102422
Abstract: Abstract In the present work a previously presented high-order Boussinesq-type model is extended to account for wave propagation over porous beds. The resulting wave solver is coupled with a sediment transport and morphological model to… read more here.
Keywords: porous beds; type modelling; modelling porous; boussinesq type ... See more keywords
Numerical verification of a two-layer Boussinesq-type model for surface gravity wave evolution
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DOI: 10.1016/j.wavemoti.2018.11.007
Abstract: Abstract A vertical two-dimensional numerical model is developed to demonstrate the application potential of the recently proposed two-layer Boussinesq-type equations, which have been theoretically shown to exhibit high accuracy in both linear and nonlinear properties,… read more here.
Keywords: boussinesq type; layer boussinesq; two layer; model ... See more keywords
Analyzing wave structure and bifurcation in geophysical Boussinesq-type equations
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DOI: 10.1063/5.0214693
Abstract: This article investigates the traveling wave solution for a geophysical Boussinesq-type equation that models equatorial tsunami waves. The discussed structure exhibits explicit traveling wave solutions characterized by speeds surpassing the linear propagation speed and small… read more here.
Keywords: structure; traveling wave; geophysical boussinesq; boussinesq type ... See more keywords
Improved Boussinesq-type equations for spatially and temporally varying bottom
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DOI: 10.1080/21664250.2018.1520796
Abstract: ABSTRACT Boussinesq-type equations with improved linear dispersion characteristics are derived for spatially and temporally varying bottom. Starting from the first principles, spatial variations and temporal movements of seabed due to underwater earthquakes, landslides and alike… read more here.
Keywords: bottom; type equations; boussinesq type; spatially temporally ... See more keywords
Lepage equivalents for second order Lagrangians and applications: 2D modified higher order Boussinesq-type equations
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887826500350
Abstract: In the frame of the Lagrangian formalism on $r$-order prolongations of fibered manifolds and related structures such as (prolongation of) projectable vector fields, (sheaves of) differential forms and contact structures, we propose a Lagrangian two-field… read more here.
Keywords: type equations; boussinesq type; order; lepage equivalents ... See more keywords