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Showing 2017 · math.DSShow all
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math.DS2017★ 33 cited
Waves along fractal coastlines: From fractal arithmetic to wave equations
Marek Czachor
Beginning with addition and multiplication which are intrinsic to a Koch-type curve, I formulate and solve a wave equation that describes wave propagation along a fractal coastline…
math.DS2017
Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation
Marek Izydorek, Joanna Janczewska, Nils Waterstraat +1
We consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable foundation. Our main theorem shows that bifurcation occurs if and only if the lineariz…