1. Particles can move for reasons other than diffusion. Suppose that particles with number density N(1,t) are suspended in a fluid which is moving with velocity u(z.t) and that the particles move with the fluid. Assume that u(z, t) > 0 means that the particles are moving to the right, and assume that the particles do not also diffuse. What is the flux function J(r, t) in this situation? What is the partial differential equation satisfied by the function N(r, t)? What is the flux function and PDE in the case that the particles move both because they are carried by the fluid and because they diffuse?

1. Particles can move for reasons other than diffusion. Suppose that particles with number density N(1,t) are suspended in a fluid which is moving with velocity u(z.t) and that the particles move with the fluid. Assume that u(z, t) > 0 means that the particles are moving to the right, and assume that the particles do not also diffuse. What is the flux function J(r, t) in this situation? What is the partial differential equation satisfied by the function N(r, t)? What is the flux function and PDE in the case that the particles move both because they are carried by the fluid and because they diffuse?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.6P

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