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I need to proof the coersivity of the following bilinear form. a,b and c are scalars, u is the velocity vector field and p is the pressure. Any help is much appreciated!

$$ B(\textbf{u},\textbf{v}) = a (\textbf{u},\textbf{v}) - (\textbf{u},b \cdot \nabla \textbf{v}) - c (p, div \, \textbf{v}) $$

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  • $\begingroup$ Could you explain what you mean? On what kind of space is $B$ defined, does scalar mean real or complex, what does pressure mean, what is $\nabla$, what are the round brackets? $\endgroup$
    – user1688
    Commented Jan 8, 2016 at 7:05

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