Stationary Solutions and Nonuniqueness of Weak Solutions for the Navier–Stokes Equations in High Dimensions
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DOI: 10.1007/s00205-019-01366-9
Abstract: Consider the unforced incompressible homogeneous Navier–Stokes equations on the d-torus $${\mathbb{T}^d}$$Td where $${d \geq 4}$$d≥4 is the space dimension. It is shown that there exist nontrivial steady-state weak solutions $${u \in L^{2} (\mathbb{T}^d)}$$u∈L2(Td). The result… read more here.
Keywords: stationary solutions; stokes equations; weak solutions; solutions nonuniqueness ... See more keywords