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Instructor:
Malgorzata Peszynska
Class:
MWF 13:00-13:50 in ROGERS 440
Course information:
CRN 52627. Credits: 3.00.
Student preparation: I expect the students to have a solid
background in differential equations, senior level/ advanced calculus and linear algebra.
Students should contact the instructor with questions on prerequisites/preparation.
Syllabus:
This class is the third in a year-long sequence MTH 621, MTH 622,
MTH
623. In principle, each of these classes can be taken separately but
it is best if they are taken in order (for more information please contact
the instructor).
Class may be repeated for credit (use MTH 657, CRN 52505).
In Spring term I will cover the following topics, mostly related to fluids
and waves modeling:
- Weak solutions to conservation laws. Shocks, discontinuities,
entropy solutions. Systems of conservations laws.
- Wave equation in 2D and 3D. Special methods of solving PDEs: similarity solutions, asymptotic
analysis, and more.
- Models of physical phenomena beyond elementary diffusions and
vibrations. Topics will be chosen (as time permits) from solid mechanics and fluid
dynamics, diffusion-advection-reaction problems, acoustics, nonlinear
waves, Schroedinger equation etc..
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Textbook:
I will use material from both of the following textbooks as well as
some downloadable notes TBA.
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R. Guenther and J. Lee, Partial Differential Equations of
Mathematical Physics and Integral Equations, Dover, 1996
- W. Strauss, Partial Differential Equations, Wiley, 2nd Edition, 2008
Grading: grade will be based on several projects assigned
after each part of the material is covered. Students registered for
less than full letter grade credit will be expected to turn in a
corresponding level of work.
Special arrangements for students with disabilities,
make-up exams etc.: please contact the instructor and Services for Students with
Disabilities, if relevant, and provide appropriate
documentation.
Course drop/add information is at
http://oregonstate.edu/registrar/.
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