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Results tagged with ap.analysis-of-pdes
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user 139816
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
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A variant to the Stokes system and Navier-Stokes equation
The linearization of the Navier-Stokes equation (in a smooth bounded domain in dimensions 2 or 3) is the following non-stationary Stokes system
$$v_t+\nabla p=\Delta v+f,~\nabla\cdot v=g,$$
whose $W_p …
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