Convergence to travelling waves in Fisher’s population genetics model with a non-Lipschitzian reaction term
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-017-1103-z
Abstract: We consider a one-dimensional population genetics model for the advance of an advantageous gene. The model is described by the semilinear Fisher equation with unbalanced bistable non-Lipschitzian nonlinearity f(u). The “nonsmoothness” of f allows for… read more here.
Keywords: genetics model; genetics; travelling waves; non lipschitzian ... See more keywords
Experimental Control of Turbulent Boundary Layers with In-plane Travelling Waves
Sign Up to like & getrecommendations! Published in 2018 at "Flow, Turbulence and Combustion"
DOI: 10.1007/s10494-018-9926-2
Abstract: The experimental control of turbulent boundary layers using streamwise travelling waves of spanwise wall velocity, produced using a novel active surface, is outlined in this paper. The innovative surface comprises a pneumatically actuated compliant structure… read more here.
Keywords: control turbulent; experimental control; boundary layers; surface ... See more keywords
Effect of travelling waves on stochastic seismic response and dynamic reliability of a long-span bridge on soft soil
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of Earthquake Engineering"
DOI: 10.1007/s10518-018-0316-x
Abstract: It is generally known that the variability of earthquake ground motion is mainly in time and space. To investigate the impact of this variability on the seismic performance of a long-span flexible structure, we discuss… read more here.
Keywords: stochastic seismic; probability; seismic response; travelling waves ... See more keywords
Travelling Waves in a SI Endemic Model
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-017-9632-0
Abstract: In this paper we consider an endemic SI model with standard incidence and prove the existence of monotone and unimodal travelling waves with large velocity. The birth and death rates can be quite general. When… read more here.
Keywords: travelling waves; endemic model; waves endemic;
Different types of solitary waves in a thermo-hyperelastic neo-Hookean cylindrical shell
Sign Up to like & getrecommendations! Published in 2020 at "Composite Structures"
DOI: 10.1016/j.compstruct.2020.112178
Abstract: Abstract Based on the hyperelastic material models, the propagation of nonlinear travelling waves in cylindrical rods has been studied. Here, different types of nonlinear travelling waves in a thermo-hyperelastic neo-Hookean cylindrical shell are determined. By… read more here.
Keywords: solitary waves; different types; cylindrical shell; travelling waves ... See more keywords
Travelling waves in dilatant non-Newtonian thin films
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.10.015
Abstract: Abstract We prove the existence of a travelling wave solution for a gravity-driven thin film of a viscous and incompressible dilatant fluid coated with an insoluble surfactant. The governing system of second order partial differential… read more here.
Keywords: thin films; travelling waves; newtonian thin; waves dilatant ... See more keywords
Travelling waves for reaction–diffusion equations forced by translation invariant noise
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.132233
Abstract: Inspired by applications, we consider reaction-diffusion equations on $\mathbb{R}$ that are stochastically forced by a small multiplicative noise term that is white in time, coloured in space and invariant under translations. We show how these… read more here.
Keywords: travelling waves; diffusion equations; invariant; reaction diffusion ... See more keywords
Asymptotic analysis of the attractors in two-dimensional Kolmogorov flow
Sign Up to like & getrecommendations! Published in 2017 at "European Journal of Applied Mathematics"
DOI: 10.1017/s0956792517000213
Abstract: The high Reynolds-number structure of the laminar, chaotic and turbulent attractors is investigated in a two-dimensional Kolmogorov flow. The laminar attractors include the families of multi-phased travelling waves and quasi-periodic standing waves both of which… read more here.
Keywords: dimensional kolmogorov; multi phased; kolmogorov flow; travelling waves ... See more keywords
Existence of travelling waves with the critical speed for an influenza model with treatment
Sign Up to like & getrecommendations! Published in 2019 at "European Journal of Applied Mathematics"
DOI: 10.1017/s0956792518000700
Abstract: The main purpose of this paper is to study the existence of travelling waves with a critical speed for an influenza model with treatment. By using some analysis techniques that involve super-critical speeds and an… read more here.
Keywords: waves critical; existence travelling; critical speed; travelling waves ... See more keywords
Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials
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DOI: 10.1080/00036811.2016.1145673
Abstract: We consider implicit nonlinear lattice equations modelling one-dimensional metamaterials formed by a discrete array of nonlinear split-ring resonators. We study the existence and bifurcation of localised excitations and use the results to prove the existence… read more here.
Keywords: implicit nonlinear; waves implicit; travelling waves; bifurcation travelling ... See more keywords
Experimental travelling waves identification in mechanical structures
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DOI: 10.1177/1081286517732825
Abstract: Vibrations are often represented as a sum of standing waves in space, i.e. normal modes of vibration. While this can be mathematically accurate, the representation as travelling waves can be compact and more appropriate from… read more here.
Keywords: energy; waves identification; experimental travelling; travelling waves ... See more keywords