CORDIS Project
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This project investigates the well-posedness theory for hyperbolic systems of conservation laws in multiple dimensions. It aims to establish stability and regularity conditions for solutions, focusing on large data scenarios and the existence of strong traces in scalar conservation laws.
The proposed project will focus on the well-posedness theory for hyperbolic systems of conservation laws in multiple space dimensions.
The project will consider the stability and well-posedness theory for such systems, in the cases with and without source.In his 2023 survey of the field, Dafermos writes that ""in regard to systems [of conservation laws], in one spatial dimension, the fundamental question whether the Cauchy problem in the BV setting is well-posed for initial data with large total…
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