nonlinear hyperbolic conservation law zero limit dissipation dispersion vanishing viscosity-capillarity method
CAMGSD/LARSyS, Departamento de Matemática, IST
Seminário de Equações Diferenciais Parciais,
We will briefly review some aspects of the theory of nonlinear hyperbolic conservation laws which are needed in order to work with "zero limits". Issues concern behaviour and selection of the right models/solutions since dissipation and dispersion effects are involved. Next I intend to focus on technical difficulties we need to overcome to prove a general "vanishing viscosity-capillarity method".