While the abstract theory available can be applied directly to problems with unbounded domains or zero boundary conditions, many problems arising in applications are in fact initial–boundary value ...

These conditions can be given in the form of initial or boundary conditions. Initial conditions define the values of the dependent variables at the initial stage (e.g. at ), whereas the boundary ...

We construct global L∞ entropy weak solutions to the initial boundary value problem for the damped compressible Euler equations on bounded domains with physical boundaries. Time asymptotically, the ...

Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications.