Dussan became a Guggenheim Fellow in 1984, honoring her for the work and research in "spreading of liquids on solid surfaces".[8]
Following this achievement, she then became a Fellow of the American Physical Society in 1985 "for her deep insights into the mechanisms and the realistic modeling of phenomena involving fluid-fluid interfaces, particularly in situations in which moving contact lines and mutual fluid displacement occur".[2]
She was elected to the National Academy of Engineering in 2004 "for innovative contributions to the wetting of solids and complex flows in porous media".[3]
In 2009, she became one of the inaugural Fellows of the Society for Industrial and Applied Mathematics for her actions and contributions in wetting and flow in porous media.[4]
In 1985, Stony Brook University awarded her their Distinguished Alumni Award as a result of her work as a Guggenheim Fellow of the American Physical Society. [9]