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Which is an elliptic equation?

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in Computational Fluid Dynamics by (118k points)
Which is an elliptic equation?

(a) Wave equation

(b) Transient heat conduction

(c) Transient heat convection

(d) Steady state heat conduction

The question was asked in an online interview.

The origin of the question is Mathematical Behaviour of PDE topic in section Mathematical Behaviour of Partial Differential Equations of Computational Fluid Dynamics

1 Answer

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The correct choice is (d) Steady state heat conduction

To explain I would say: Transient problems and wave equations need marching solutions and cannot be elliptic. Steady state heat conduction is elliptic.

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