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Results tagged with parabolic-pde
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user 75422
Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
2
votes
Vorticity equation for generalized Naiver Stokes equations
Taking the curl of the original equation in $\mathbb R^3$ gives$$\partial_t\omega+\nu(-\Delta)^\alpha\omega+(u\cdot\nabla)\omega-(\omega\cdot\nabla) u=\nabla\times f$$ $$\nabla\times u=\omega$$ $$\nab …
- 3,085
3
votes
Real analyticity of solution of heat equation
In the case of $\mathbb R^n$, the analyticity-in-time of the solution, with $u_0\in\mathcal S'$ (tempered distributions), stems from that of $e^{-(t+i\tau)|\xi|^2}$ which implies that of $u(t+i\tau,x) …
- 3,085