Which equation describes surface waves in a fluid on the same scale?

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In summary, The name of an equation is a specific label or title given to a mathematical formula or expression. It is typically given by the mathematician or scientist who first discovered or developed it and provides context and understanding of the underlying mathematical principles and concepts being utilized. The name should be written in italicized font with the first letter capitalized, but there may be exceptions or variations in naming conventions.
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Trying to get the name of an equation for free surface flow.
When considering surface waves in a fluid in 3D, there are a number of assumptions the easiest one is to take the "thin wave" approximation which yields a Kadomtsev-Petviashvilli equation. I'm looking for the name of the equation(or set of equations) for when the x and y are of the same scale. Does anyone know what it's called?
 
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The equation you are looking for is the two-dimensional Euler equations, also known as shallow-water equations. These equations describe the motion of fluids in two dimensions, and they can be used to model surface waves in a fluid.
 

FAQ: Which equation describes surface waves in a fluid on the same scale?

What is the name of an equation?

The name of an equation is a symbolic representation of a mathematical relationship between different variables or quantities.

Why are equations named?

Equations are named to make it easier to identify and refer to them, especially when there are multiple equations being used in a particular field of study.

How are equations named?

Equations are usually named after the person who discovered or developed them, or after the concept they represent. For example, the Pythagorean theorem is named after Pythagoras, who first proved it.

Do all equations have names?

No, not all equations have names. Some equations are simply referred to by their mathematical notation or function, such as the quadratic equation or the sine function.

Can equations have multiple names?

Yes, some equations may have multiple names, especially if they are used in different fields or have been discovered independently by different scientists.

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