Coupled bulk-surface reaction diffusion system

Sean Murray

2018 8 17

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4 次查看（30 天）

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I would like to know if Matlab is able to solve coupled bulk-surface PDE systems, reaction-diffusion in particular.

For example, suppose a particle with concentration u diffuses in a closed 3D volume V but can also bind to, and unbind from, the 2D surface of V, dV. The bound species, which we denote by v, can diffuse in 2D along the surface. The equations are

du/dt = Du Δu in V
dv/dt = Dv Δv+R(u,v) on dV
with boundary condition -Du grad(u).n=R(u,v) on dV
where n is the outward unit normal and R(u,v) describes the binding and unbinding terms.

It is not clear to me from the help files and this forum, whether Matlab can solve this type of system.

Thank you for any help,

Sean