Stability of the 1D IBVP for a Non Autonomous Scalar Conservation Law
Rinaldo M. Colombo, Elena Rossi
TL;DR
This paper establishes the stability of solutions to initial-boundary value problems for one-dimensional non-autonomous scalar conservation laws, providing key estimates through a careful solution construction.
Contribution
It introduces new stability results for non-autonomous scalar conservation laws with boundary conditions, advancing understanding of solution behavior under flux variations.
Findings
Proves stability of solutions with respect to flux changes.
Develops key estimates via a novel solution construction.
Enhances theoretical understanding of non-autonomous conservation laws.
Abstract
We prove the stability with respect to the flux of solutions to initial-boundary value problems for scalar non-autonomous conservation laws in one space dimension. Key estimates are obtained through a careful construction of the solutions.
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