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Examples
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The dynamical equations are called the Navier-Stokes equations but to get a feel for the dynamics its best to consider various simplifications.
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In particular, he deconstructs one particular post: Why global regularity for Navier-Stokes ishard, which sets out a particular problem, identifies the approaches that have been used, and has attracted a large number of comments from some of the top mathematicians in the field, all of which helps to make progress on the problem. (similar examples from other mathematicians, such as the polymath project), and a brand new blog for this: polymathprojects. org.
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Solving the Navier-Stokes equations is notoriously difficult.
Archive 2009-03-01 Gordon McCabe 2009
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This can only be blamed upon the capricious nature of the Navier-Stokes equations.
Archive 2009-03-01 Gordon McCabe 2009
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The difficulty of trying to discover such optimum global solutions to the Navier-Stokes equations is compounded by the non-linearity of those equations.
Archive 2009-03-01 Gordon McCabe 2009
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The a priori specification that can be made is the Navier-Stokes equations, and direct numerical solution thereof.
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The a priori specification that can be made is the Navier-Stokes equations, and direct numerical solution thereof.
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In particular, he deconstructs one particular post: Why global regularity for Navier-Stokes ishard, which sets out a particular problem, identifies the approaches that have been used, and has attracted a large number of comments from some of the top mathematicians in the field, all of which helps to make progress on the problem. (similar examples from other mathematicians, such as the polymath project), and a brand new blog for this: polymathprojects. org.
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In particular, he deconstructs one particular post: Why global regularity for Navier-Stokes ishard, which sets out a particular problem, identifies the approaches that have been used, and has attracted a large number of comments from some of the top mathematicians in the field, all of which helps to make progress on the problem. (similar examples from other mathematicians, such as the polymath project), and a brand new blog for this: polymathprojects. org.
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The Clay Mathematics Institute have, since 2000, been offering a $1,000,000 prize to anyone who can prove that the specification of an arbitrary initial velocity vector field v (x, y, z,0), determines a unique solution of the Navier-Stokes equations.
Archive 2009-03-01 Gordon McCabe 2009
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