Will this work?

D

Dennis

Guest
Please, will this idea work?

TIA,

Dennis


"My proposed research will focus on the mathematics of seismic wave
theory in elastic media. In particular I will solve the three coupled
Cauchy's equations of motion in anisotropic inhomogeneous media using
the standard method of characteristics, a variant based on principal
symbol analysis, Fourier-integral operator (FIO) theory, and numerical
analysis. I have begun and will continue to apply the method of
characteristics to the equations of motion. I have also begun to
apply Principal Symbol theory, related to Fourier Integral Operators,
to the equations of motion and from that should also get the same
characteristics. This would also put the equations in a framework
amenable to application of Fourier-integral operators. In parallel
with that I will try to apply Fourier-integral operator theory to
simple cases so that solutions can be tested against known solutions.
Then I will extend that theory to the inhomogeneous anisotropic case
and ideally show that it extends the results of ray theory. However
to handle the general case I expect the FIO theory will reduce the
equations somewhat but some numerical solution will still be required
to complete the solution but less than for full numerical solution of
the equations.
Click to expand...
 
Go for it!

"Dennis" <Howdy Doody@howdydoody.net> wrote in message
news:1088cq0j4pf9u5c@corp.supernews.com...
Please, will this idea work?

TIA,

Dennis


"My proposed research will focus on the mathematics of seismic wave
theory in elastic media. In particular I will solve the three coupled
Cauchy's equations of motion in anisotropic inhomogeneous media using
the standard method of characteristics, a variant based on principal
symbol analysis, Fourier-integral operator (FIO) theory, and numerical
analysis. I have begun and will continue to apply the method of
characteristics to the equations of motion. I have also begun to
apply Principal Symbol theory, related to Fourier Integral Operators,
to the equations of motion and from that should also get the same
characteristics. This would also put the equations in a framework
amenable to application of Fourier-integral operators. In parallel
with that I will try to apply Fourier-integral operator theory to
simple cases so that solutions can be tested against known solutions.
Then I will extend that theory to the inhomogeneous anisotropic case
and ideally show that it extends the results of ray theory. However
to handle the general case I expect the FIO theory will reduce the
equations somewhat but some numerical solution will still be required
to complete the solution but less than for full numerical solution of
the equations.
Click to expand...
 
"Dennis" <Howdy Doody@howdydoody.net> wrote in message
news:1088cq0j4pf9u5c@corp.supernews.com...
Please, will this idea work?

TIA,

Dennis


"My proposed research will focus on the mathematics of seismic wave
theory in elastic media. In particular I will solve the three coupled
Cauchy's equations of motion in anisotropic inhomogeneous media using
the standard method of characteristics, a variant based on principal
symbol analysis, Fourier-integral operator (FIO) theory, and numerical
analysis. I have begun and will continue to apply the method of
characteristics to the equations of motion. I have also begun to
apply Principal Symbol theory, related to Fourier Integral Operators,
to the equations of motion and from that should also get the same
characteristics. This would also put the equations in a framework
amenable to application of Fourier-integral operators. In parallel
with that I will try to apply Fourier-integral operator theory to
simple cases so that solutions can be tested against known solutions.
Then I will extend that theory to the inhomogeneous anisotropic case
and ideally show that it extends the results of ray theory. However
to handle the general case I expect the FIO theory will reduce the
equations somewhat but some numerical solution will still be required
to complete the solution but less than for full numerical solution of
the equations.
Click to expand...
$20 says you don't actually have a clue about any of the above.

Regards,
John
 
In article <Cv0hc.5737$KS1.287963@nasal.pacific.net.au>, johnd@sydpcug.org.au
says...
"Dennis" <Howdy Doody@howdydoody.net> wrote in message
news:1088cq0j4pf9u5c@corp.supernews.com...


Please, will this idea work?

TIA,

Dennis


"My proposed research will focus on the mathematics of seismic wave
theory in elastic media. In particular I will solve the three coupled
Cauchy's.............

$20 says you don't actually have a clue about any of the above.

Regards,
John
Click to expand...
$20 says neither do you.

-Dennis
>
 
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