Stability estimates are established for entropy solutions of coupled nonlocal balance laws with spatial and temporal memory effects, including perturbations in flux, kernels, and initial data.
More precisely, we have the following result: 4 Theorem3.1 (Stability Estimate).Letf, f,ν, ν,µ, µ,Γ, Γ,R, R,Υ,and Υ satisfy (H1)–(H4)
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Stability estimates for systems of nonlocal balance laws with memory
Stability estimates are established for entropy solutions of coupled nonlocal balance laws with spatial and temporal memory effects, including perturbations in flux, kernels, and initial data.