On the existence of L2-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions

We consider the wave equation in a smooth domain subject to Dirichlet boundary conditions on one part of the boundary and dissipative boundary conditions of memory-delay type on

(ii) As in the setting of the Barles–Souganidis theorem [2], where the Dirichlet bound- ary condition is relaxed from its classical pointwise sense, and is understood in a

Actually, in Section IV, it will be shown that in the presence of a moderate white noise added to the Sivashinsky equation, the solution is much more often close to the most

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

The goal of this article is to study the exponential stability of 2 × 2 systems of conservation laws on a finite interval, by means of boundary feedbacks, in the context of weak

In [25], the authors apply to moment- SOS hierarchy to solve optimal control problems of ordinary differential equations, and it was shown in [31] that it provides a sequence

Samy Skander Bahoura. A compactness result for solutions to an equation with boundary singularity... 2018.. A compactness result for solutions to an equation with