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Martina Ch.-Bruckner
เข้าร่วมเมื่อ 30 มิ.ย. 2012
วีดีโอ
Standing breather for a Klein-Gordon equation with spatially periodic coefficients
มุมมอง 120ปีที่แล้ว
Numerical simulation using MATLAB's pdepe
Moving breather of the Sine-Gordon equation
มุมมอง 123ปีที่แล้ว
Moving breather of the Sine-Gordon equation (omega = 0.99, c = 0.85)
Traveling front with heterogenous tails in a two-component reaction diffusion equation
มุมมอง 742 ปีที่แล้ว
Traveling front with heterogenous tails in a two-component reaction diffusion equation d_t U = epsilon^2 d_x^2 U U - U^3 - epsilon (alpha U gamma) tau d_t V = d_x^2 V f_1(x) U - f_2(x) V where x in R, t in R , U = U(x,t), V = V(x,t) in R and f_1, f_2 are bounded function which are not periodic.
Breather solution for a Klein-Gordon equation with periodically varying coefficients
มุมมอง 1292 ปีที่แล้ว
Breather solution for a Klein-Gordon equation s(x) d_t^2 u = d_x^2 u s(x) (q_0 - epsilon^2) u r u^3 with x, t, u = u(x,t) in R and s = s(x) a periodic step function. For more details see: doi.org/10.1007/s00220-011-1191-3 Simulation carried out by Ch. Hamster using Dedalus (dedalus-project.org)
perturbed algebraic soliton of the Gardner equation (2)
มุมมอง 1398 ปีที่แล้ว
Adding a small negative perturbation to the standing algebraic soliton of the Gardner equation results in a moving breather.
perturbed algebraic soliton of the Gardner equation (1)
มุมมอง 988 ปีที่แล้ว
Adding a small positive perturbation to the standing algebraic soliton of the Gardner equation results in a traveling, exponentially localized soliton.
Colliding wave packets in a diatomic Fermi-Pasta-Ulam chain
มุมมอง 1979 ปีที่แล้ว
Colliding wave packets in a diatomic FPU chain. Envelopes are described by a Nonlinear-Schrödinger equations. For more information on the derivation and justification of the Nonlinear-Schrödinger equation for a diatomic Fermi-Pasta-Ulam chain: 10.3934/dcdss.2012.5.879 For more information on describing colliding wave packets in general settings: doi.org/10.1016/j.jde.2012.06.003
Colliding wave packets in a diatomic FPU chain
มุมมอง 1189 ปีที่แล้ว
Colliding wave packets in a diatomic FPU chain. For more information see: 10.3934/dcdss.2012.5.879
Wave packet in a diatomic Fermi-Pasta-Ulam chain
มุมมอง 1389 ปีที่แล้ว
Wave packet in a diatomic Fermi-Pasta-Ulam chain. Envelope described by a Nonlinear-Schrödinger equation. For more information on the derivation and justification of the Nonlinear-Schrödinger equation for a diatomic Fermi-Pasta-Ulam chain: 10.3934/dcdss.2012.5.879 Details: periodic FPU: a21 = 1.4 wave packet: epsilon = 0.07, k = 1 x = 1:2000; N = length(x); dt = 0.5; time = 0:dt:1/epsilon^2; nf...
0:03 why is there a single frame of a second wave packet? the way the sinewave 'burrows' into the -x direction looks organic
There’s something that’s just so relaxing about watching your videos!
How have things been going over the years?
IC you are doing some cool stuff! 😎
That’s neat. Do you happen to teach this stuff at a university?
That’s cool. Was this for a class project, or for research or just as a hobby?
That was tenterrific! ⛺️
It seems you were trying to make a triangular wave; is that right?
Aw yeah, it’s hip to be square! ▪️
Did you have to do this to design a filter?
Line 35 of what?
Yep, there was definitely some diffusion there.
That was neat.
Wave packet? More like “Really cool visualizations that are where it’s at!”
That was really cool.
That was solitonsational! 👍
That’s a cool visualization. Did you have to do this as part of a class project, or was it connected to research?