17.08.2013 Views

Generalizing the Bardos-LeRoux-Nédélec boundary condition for ...

Generalizing the Bardos-LeRoux-Nédélec boundary condition for ...

Generalizing the Bardos-LeRoux-Nédélec boundary condition for ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

The problem BLN <strong>condition</strong> & Alternatives Effective BC graph Definition Uniqueness Definition Bis Existence & Convergence of Approximations<br />

Plan of <strong>the</strong> talk<br />

1 Conservation law with dissipative <strong>boundary</strong> <strong>condition</strong>s<br />

2 <strong>Bardos</strong>-<strong>LeRoux</strong>-<strong>Nédélec</strong> <strong>condition</strong>. Alternative <strong>for</strong>mulations<br />

3 The Effective Boundary-Condition graph<br />

4 Definition of solution (a first approach)<br />

5 Uniqueness, comparison, L 1 contraction<br />

6 Equivalent definition of solution<br />

7 Existence. Justification by convergence of approximations

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!