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Integro-partial differential equations

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Hi I am fairly a newbie to this software and i am wondering if it can solve a set of complicated integro-PDE together.

It's crystallization kinetics from supersaturated solution which has three dependent variables

Particle size distribution: f(L,t)
Particle growth rate: G(L,t)
Supersaturation: s(t)

Two independent variables:
time: t
particle size: L

Three governing equations:

(1) df/dt + d(Gf)/dt = 0

(2) ds/dt = -K integro (L^2 * G * f dL)

(3) G = a*s / (1+L/b)

with appropriate intial conditions and boundary conditions

IC:
(1) s(t=0)=1
(2) f(L, t=0) = 0

BC:
G(t, L=0) f (t, L=0) = c* exp(p ln(s))

Constants: a, b, c, p, K

Can comsol solve this? Thanks


1 Reply Last Post 12 set 2013, 17:09 GMT-4
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Hello Beibei Qu

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Posted: 1 decade ago 12 set 2013, 17:09 GMT-4
Check out the files in the Model Gallery: Model ID:700 An Integro-Partial Differential Equation
Check out the files in the Model Gallery: Model ID:700 An Integro-Partial Differential Equation

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