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Transactions of the American Institute of Electrical Engineers, 1936
The theory of transients arising from the sudden application of a sinusoidal potential is presented in this paper, for the distortionless transmission line. The solution is given in the form of a series of damped sinusoidal traveling waves, the reflections diminishing progressively until the steady state is reached.
Ernst Weber, Frank E. Kulman
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The theory of transients arising from the sudden application of a sinusoidal potential is presented in this paper, for the distortionless transmission line. The solution is given in the form of a series of damped sinusoidal traveling waves, the reflections diminishing progressively until the steady state is reached.
Ernst Weber, Frank E. Kulman
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Traveling Wave and Multiple Traveling Wave Solutions of Parabolic Equations
SIAM Journal on Mathematical Analysis, 1982We consider scalar equations $u_t = f(u_{xx} ,u_x ,u)$ with $\frac{\partial }{{\partial \alpha }}f(\alpha ,\beta ,\gamma ) \geq 1$. We first determine the stability of the monotonic traveling wave solutions $u(t,x) = \phi (x - ct,c)$. We then study the continued existence and bifurcations of these solutions as the wavespeed c varies.
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Travelling Waves for the Brio System
Journal of Nonlinear Science, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Oscillations and travelling waves
1995A very important class of shell patterning is caused by pigment productions that occur only during a short time interval, followed by an inactive period without pigment production. Stripes parallel to the growing edge and oblique lines belong to this class of patterns. Oscillations can occur if the antagonist reacts too slowly.
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1990
Abstract In the previous chapter we dealt with the existence and spontaneous formation of stable spatially non-uniform patterns. Here, we consider another form of spatial behaviour. We envisage a (long) tube, initially containing a spatially uniform distribution of reactants.
Peter Gray, Stephen K Scott
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Abstract In the previous chapter we dealt with the existence and spontaneous formation of stable spatially non-uniform patterns. Here, we consider another form of spatial behaviour. We envisage a (long) tube, initially containing a spatially uniform distribution of reactants.
Peter Gray, Stephen K Scott
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Traveling‐wave dielectrophoresis of microparticles
ELECTROPHORESIS, 1992AbstractThe traveling‐wave‐induced linear transfer of dielectric particles like living cells and artificial objects of microscopic dimensions is analyzed. It is shown that the electrode geometries must correspond to particle sizes to allow an effective manipulation of particles immersed in weakly electrolytic solutions by high frequency traveling waves.
R, Hagedorn +3 more
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Distortion of traveling waves by corona
Electrical Engineering, 1937In order to make possible the prediction of the attenuation and distortion of lightning waves on transmission lines an equation is proposed that relates the change of shape of a traveling wave to the corona loss on the line at normal operating frequency. Results obtained by computation from this formula are compared with experimental results of various
H. H. Skilling, P. de K. Dykes
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Traveling Waves in a Bioremediation Model
SIAM Journal on Applied Mathematics, 2008We study a bioremediation model that arises in restoring ground water and soil contaminated with organic pollutants. It describes an in situ bioredimedation scenario in which a sorbing substrate of contaminated soil is degraded by indigenous microorganisms in the presence of an injected nonsorbing electron acceptor. The model relates to the coupling of
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