Hi,everybody here! How about the study of hyperbolic conservation laws in Canada? What university in canada is more famous at the investigation of hyperbolic conservation laws?

Extremly thank you for your reading... I'm eger for your answer or suggestion.

I thought they repealed those laws in Canada

Anyway,thanks for your answer!

Well, Hyperbolic Conservation Laws are a area of fluid dynamics.

For example , Eular equations and N-S equations are all hyperbolic onservation law equations .

Conservation laws is mass conservation law , momentum conservation law and energy conservation law in physics.

So, they are the basis of the study for gas dynamics and other fluid kinetics.

I want study abroad. And I want to continue my major. Thus, I expect to know which universities have such program for Ph.D .

Thanks in advance.

"For example , Eular equations and N-S equations are all hyperbolic onservation law equations ."

Not quite - The N-S equations are parabolic not hyperbolic (the only real characteristic is time).

"Not quite - The N-S equations are parabolic not hyperbolic (the only real characteristic is time). "

Not quite - The N-S equations are mixed hyperbolic/elliptic, but they can be parabolized.

"Not quite - The N-S equations are parabolic not hyperbolic (the only real characteristic is time). "

Not quite - The N-S equations are mixed hyperbolic/elliptic, but they can be parabolized.

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Nope, Tom was correct. The N-S are indeed formally parabolic in nature. The selection of certain coefficients may bias the results towards an asymptotic solution, but the equations remain formally parabolic.

You can test this using Anderson's approach, for instance.

Look up your definitions for the classification of pdes. The NS equations ARE parabolic.

the character of the (time-dependent) N-S equations probably depends on whether you refer to the compressible or the incompressible sets

The viscous/dissipation terms ensures both cases are parabolic (the thermodynamic arrow of time)

I do not know any major center for study of Hyperbolic Conservation Laws in Canada. However, I do know one very close to Canadian border. It is Applied Mathematics at the University of Washington in Seattle. Less than 200 km from Vancouver.

Angen

I'm not sure if a lot of work has been done on hyperbolic conservation laws but university of toronto is a bit close to your requirements.

Check David Zingg's group at UTIAS (http://goldfinger.utias.utoronto.ca/~dwz/). They don't do conservation laws exclusively but they do work on compressible flow problems (inviscid and viscous). Unlike Le Veque at Washington, they don't have research concerning all sorts of hyperbolic laws, only compressible flows. Maybe he will be interested in student working on other things not traditionally done by his group. Good luck.

Thank you very much for your warm advance ! I'll go to the website of University of Toronto.

I extremely appreciate your help!

Are you studing in this area? or related?

I have spent some time at UTIAS many years ago and I am no longer in the area. However, I maintain some links with several Canadian universities and from time to time I visit them and do public lecture on my research. I think you will find UTIAS to be a very good place with many qualified researchers and good links to industry. Good luck in your research plans.