Conservation Laws and Applications, celebrating the 70th birthday of Dan Marchesin

Organizing Committee

Alexei A. Mailybaev (IMPA)
Amaury Alvarez Cruz (IMPA)

Scientific Committee

Johannes Bruining (TU Delft, The Netherlands)
Alexei A. Mailybaev (IMPA, Brazil)
Aparecido J. de Souza (UFPB, Brazil)


The Workshop is focused on fundamental and applied topics in the theory of hyperbolic conservation laws. It is aimed for a discussion of questions that range from pure mathematical issues (existence, uniqueness and structure of solutions) to mathematical modeling and numerical analysis in fluid dynamics and problems of porous media.


Postal Address: Instituto Nacional de Matemática Pura e Aplicada 
Estrada Dona Castorina 110, Jardim Botânico
Rio de Janeiro, RJ, CEP 22460-320, Brasil 




- DAY 1 - 01.08.2017 -

Recalling the Riemann problem for the polymer injection model in a three-phase flow in a porous medium
- Aparecido J. de Souza (UFPB)
- download

Scaling behavior of stochastic, multiphase flow in porous media
Frederico Furtado (University of Wyoming) - download

The effect of salinity on immiscible displacement recovery
Hans Bruining (TU Delft) - download

Do General Relativistic Shock Wave Interactions Create Regularity Singularities in Spacetime?
Moritz Reintjes (Instituto Superior Técnico, Lisboa) - download

On geometric issues for systems of Conservation Laws
Pablo Castaneda (Instituto Tecnológico Autónomo de México) - download


- DAY 2 - 02.08.2017 -

Non local solutions in conservation laws
- Vitor Matos (Universidade do Porto, Portugal) - download

Mathematical theory of geochemical injection problems for multicomponent two phase flow in porous media Wanderson
- J. Lambert (Universidade Federal de Alfenas) - download

Computing numerical solutions of the modified Buckley-Leverett equation with a dynamic nonequilibrium capillary pressure model
- Eduardo Abreu (University of Campinas, Brazil) - download

Resonant rarefaction and shock waves for a system of conservation laws
- Amaury C. Alvarez (IMPA) - download

Towards automatic solvers of Riemann problems
- Dan Marchesin (IMPA) - download

Phase-field dynamic fracture model and discretization
- Marcus Sarkis (Worcester Polytechnic Institute) - download


- DAY 3 - 03.08.2017 -

Semi-continuous thermodynamics theory for a multiphase and multicomponent reservoir simulation framework
- Fabio P. Santos (Federal University of Rio de Janeiro) - download

Mathematical modeling of one-dimensional oil displacement by combined solvent-thermal flooding
- Adolfo Pires (Universidade Estadual do Norte Fluminense) - download

Traveling wave solutions describing combustion waves in porous media
- Grigori Chapiro (Universidade Federal de Juiz de Fora) - download

Non-local 1D conservation laws: when the shock wave is unstable
- Alexei A. Mailybaev (IMPA) - download

A Stable Manifold Theorem for a class of degenerate evolution equations and decay of kinetic shock layers
- Kevin Zumbrun (Indiana University) - download

Anomalous dissipation and spontaneous stochasticity in Burgers Equation
- Theodore D. Drivas (Princeton University) - download


- DAY 4 - 04.08.2017 -

Numerical Analysis of Traveling Waves in Flow of Porous Media
- Ismael de Souza Ledoino (LNCC) - download

Cauchy problem for a model of combustion in a porous medium with several parallel layers
- Jesus Carlos da Mota (Universidade Federal de Goiás) - download

The effects of capillarity diffusion on non strictly hyperbolic systems of conservation laws
- Luis Fernando Lozano G. - download

Riemann problems with delta-shock waves
- Marcelo Santos (University of Campinas, Brazil) - download

Wave manifold: topology meets PDE
- Cezar Eschenazi (Universidade Federal de Minas Gerais) - download