Finite volume schemes for constrained conservation laws

However with an additional control g(t) as in (1.1) and with f (z) = z 2 2 (Burgers equation), Chapouly showed in [9] that in the framework of classical solutions, any state

In the local diffusion case α = 2, the corresponding generalizations were obtained by Maliki and Tour´ e in [39], relying on the fundamental work of Carrillo [19] that established

We present the DFLU scheme for the system of polymer flooding and compare it to the Godunov scheme whose flux is given by the exact solution of the Riemann problem.. We also

inhomogeneous scalar conservation law; discontinuous flux; change of variables; entropy solution; vanishing viscosity approximation; well-posedness; crossing

Bouriah and M.Darwish, Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order in Banach Spaces, Fixed Point Theory (to appear).. Bouriah, Existence

Mathematics in En- gineering, Science and Aerospace (MESA) , 2018, Vol.. This paper deals with the construction of nonlinear boundary conditions for multidimensional conservation

It is well-known that compactness arguments based on BV bounds for the existence of solutions for quasilinear hyperbolic conservation laws is limited to one-dimensional

We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and