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- W4386695324 abstract "We consider the exact boundary controllability of nodal profile for entropy solutions to 1-D quasilinear hyperbolic systems of conservation laws under the assumption that all negative (resp., positive) characteristic fields are linearly degenerate. We prove that for small initial-boundary data, if the total variations of the nodal profile and the boundary data given at (resp., ) are sufficiently small, then there exists a time and boundary controls at (resp., ), such that the corresponding mixed initial-boundary value problem admits a unique entropy solution as the limit of front tracking approximate solutions, which takes the given nodal profile at the boundary (resp., ) from a time larger than to infinity. Moreover, if the nodal profile decays to zero when , then the entropy solution, together with the boundary control, possesses the same decay rate as the nodal profile." @default.
- W4386695324 created "2023-09-14" @default.
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- W4386695324 date "2023-09-13" @default.
- W4386695324 modified "2023-10-18" @default.
- W4386695324 title "The Exact Boundary Controllability of Nodal Profile for Entropy Solutions to 1-D Quasilinear Hyperbolic Systems of Conservation Laws with Linearly Degenerate Negative (Resp., Positive) Characteristic Fields" @default.
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- W4386695324 doi "https://doi.org/10.1137/21m1395946" @default.
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