Well-posedness for the Navier-Stokes equations
نویسندگان
چکیده
where u is the velocity and p is the pressure, with inital data u(x, 0) = u0(x). Existence of weak solutions has been shown by Leray. Uniqueness (and regularity) of weak solutions is unknown and both are among the major open questions in applied analysis. Under stronger assumptions there exist local and/or global smooth solutions. One version of this has been shown by Kato for initial data in L(R). What are reasonable requirements for solutions and initial data?
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تاریخ انتشار 1999