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Daniele Tampieri
Daniele Tampieri
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I have seen a lot of work has been done in the context of travelling wave. For example the work of McKenna and Chen in Journal of Differential Equations Volume 136, Issue 2, 20 May 1997, Pages 325-355. They are looking for the existence of travelling wave solutions of $$u''''+ c^2 u+ (u+1)_{+}-1=0 \text{ on } \mathbb{R}$$ where $c$ is called the wave speed and this comes from the substitution u(x-ct)$u(x-ct)$. In physics, what is meant by the fact $c\to 0.$ What role does it play? Why is the concept of travelling wave important from the engineering point of view?

I have seen a lot of work has been done in the context of travelling wave. For example the work of McKenna and Chen in Journal of Differential Equations Volume 136, Issue 2, 20 May 1997, Pages 325-355. They are looking for the existence of travelling wave solutions of $$u''''+ c^2 u+ (u+1)_{+}-1=0 \text{ on } \mathbb{R}$$ where $c$ is called the wave speed and this comes from the substitution u(x-ct). In physics, what is meant by the fact $c\to 0.$ What role does it play? Why is the concept of travelling wave important from the engineering point of view?

I have seen a lot of work has been done in the context of travelling wave. For example the work of McKenna and Chen in Journal of Differential Equations Volume 136, Issue 2, 20 May 1997, Pages 325-355. They are looking for the existence of travelling wave solutions of $$u''''+ c^2 u+ (u+1)_{+}-1=0 \text{ on } \mathbb{R}$$ where $c$ is called the wave speed and this comes from the substitution $u(x-ct)$. In physics, what is meant by the fact $c\to 0.$ What role does it play? Why is the concept of travelling wave important from the engineering point of view?

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sadiaz
sadiaz
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wave speed and travelling wave

I have seen a lot of work has been done in the context of travelling wave. For example the work of McKenna and Chen in Journal of Differential Equations Volume 136, Issue 2, 20 May 1997, Pages 325-355. They are looking for the existence of travelling wave solutions of $$u''''+ c^2 u+ (u+1)_{+}-1=0 \text{ on } \mathbb{R}$$ where $c$ is called the wave speed and this comes from the substitution u(x-ct). In physics, what is meant by the fact $c\to 0.$ What role does it play? Why is the concept of travelling wave important from the engineering point of view?