Department of Mathematics
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Item Open Access A barrier function for the regularity of the free boundary in div(a(x) grad(u) )= -(h(x) gamma)_x with h'(x) < 0(2021) Challal, SamiaA barrier function is compared to the solution of a class of two dimensional problems near a free boundary point. A regularity of the free boundary is established.Item Open Access Regularity of the Free Boundary in div(a(x) grad(u(x,y)) )= -(h(x) gamma(u))_x with h'(x)<0(2021) Challal, SamiaA free boundary problem of type div(a(x) grad(u) )= -(h(x)gamma(u))_x with h'(x) < 0 is considered. A regularity of the free boundary as a curve y=Phi(x) is established using a local monotony b u_x-u_y <0 close to free boundary points.Item Restricted Guiding students succeed in Calculus via a math support and a motivational placement test(2021) Challal, SamiaThe purpose of this analysis is to explore how offering some just-in-time remediation; reviewing basic math tools and conducting a test, motivates students in first year math at Glendon College.