Vitor Manuel Martins de Matos's Annual Report
Year:
2015
Brief description of the research activities:
JD Silva, D Marchesin and I wrote the paper Loss of hyperbolicity changes the number of wave groups in Riemann problems that was accepted for publication in an Special Number of the Bulletin of the Brazilian Math. Society.
I achieved an unusual result: for a non trivial Riemann problem, namely the flows of three components and two phases in a porous media, I found an explicit expression for the Hugoniot curve. This ables us to study the Hugoniot curve bifurcation and thereafter prove an uncommon amount of details of the Riemann solution. We are writing this down.
Talks / Seminars / Courses :
Communications in national conferences
Title:
Hugoniot curve on porous media flows for three components and two phases
Name of the event:
30º Colóquio Brasileiro de Matemática
Talk:
Invited talk
Date:
26.07.2015 to 31.07.2015
Host institution:
IMPA
Country:
Brazil
Location / City:
Rio de Janeiro
Work visits:
I visit the IMPA at Rio de Janeiro, Brasil, from January 25 to April 24 as well as from May 31 to August 30.