Scientists have been looking towards the stars recently with the interest of finding Earth-like planets outside of our system, yet we have very little understanding of the planet formation process. A system of partial differential equations modeling the gas around a proto-star can be solved to find steady solutions where off-core local extrema form in the density. The off-core local extrema I found demonstrates the early formation of planets through gas accretion around these extrema in the steady state solution.
Worcester Polytechnic Institute
Major Qualifying Project
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