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36 votes
12 answers
18k views

Open problems in PDEs, dynamical systems, mathematical physics

(This question might not be appropriate for this site. If so, I apologize in advance. I would have posted to mathstack, but I'm looking for advice from active researchers.) I am an undergrad in math ...
1 vote
1 answer
235 views

Showing nonlinearity of PDEs arising from physics by mathematical argument alone

Roger Temam writes in SOME DEVELOPMENTS ON NAVIER-STOKES EQUATIONS IN THE SECOND HALF OF THE 20th CENTURY: A remarkable property of the Navier-Stokes equations is that they are one of the very ...