Finite-time gradient blow-up is proven for conservation laws with source under weaker initial data conditions than Barlin (2023), with small compact support length promoting singularity formation.
B¨ arlin, Formation of singularities in solutions to nonlinear hyperbolic systems with general sources,Nonlinear Anal
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Gradient Catastrophe for Solutions to the Conservation Laws with Source Term
Finite-time gradient blow-up is proven for conservation laws with source under weaker initial data conditions than Barlin (2023), with small compact support length promoting singularity formation.