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Systems of Nonlinear Hyperbolic Differential Equations
Student-Run Research| Speaker: | Michael Scott, Mathematics, UC Davis |
| Location: | 693 Kerr |
| Start time: | Wed, Nov 24 1999, 1:10PM |
Description
The initial value problem for a nonlinear hyperbolic system of
conservation laws may fail to have a solution for all time. Since a
conservation law is an integral relation it may be satisfied by a "weak"
solution that is merely measurable and bounded.
In this talk we will introduce the Riemann initial value problem and how
one can find a solution via Lax's theorem. If time allows we will consider
systems with more general initial data and use Glimm's method to find a
solution.