Výsledky vyhledávání - "scalar balance laws"

Large-Time Asymptotic Stability of Riemann Shocks of Scalar Balance Laws

Autor: Vincent Duchêne, Luis Miguel Rodrigues

Publikováno v: SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2020, 52 (1), pp.792-820. ⟨10.1137/18M1221795⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2020, 52 (1), ⟨10.1137/18M1221795⟩
SIAM Journal on Mathematical Analysis, 2020, 52 (1), pp.792-820. ⟨10.1137/18M1221795⟩

We prove the large-time asymptotic orbital stability of strictly entropic Riemann shock solutions of first order scalar hyperbolic balance laws, under piecewise regular perturbations provided that the source term is dissipative about endstates of the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3dea0eed9d7de9e2dae626c71dd35e4a
https://doi.org/10.1137/18m1221795

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Stability and instability in scalar balance laws: fronts and periodic waves

Autor: Vincent Duchêne, Luis Miguel Rodrigues

Publikováno v: Analysis & PDE
Analysis & PDE, 2022, 15 (7), pp.1807-1859. ⟨10.2140/apde.2022.15.1807⟩
Analysis & PDE, Mathematical Sciences Publishers, In press

We complete a full classification of non-degenerate traveling waves of scalar balance laws from the point of view of spectral and nonlinear stability/instability under (piecewise) smooth perturbations. A striking feature of our analysis is the elucid

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7754a89c38c6089e2b335de5d48e3f1
https://hal.archives-ouvertes.fr/hal-02880628

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Stability and instability of traveling wave solutions to scalar balance laws

Autor: Duchêne, Vincent

Publikováno v: Mathematical Analysis in Fluid and Gas Dynamics
Mathematical Analysis in Fluid and Gas Dynamics, Jul 2019, Kyoto, Japan

International audience; In the present contribution we discuss the dynamic stability of traveling wave solutions-including constant equilibria-to first order scalar hyperbolic balance laws. Our discussion is based on the recent works of the author an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::f8e8ef85975ae9a20a3beaa2dad573a9
https://hal.archives-ouvertes.fr/hal-02971018/file/Duchene20.pdf

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Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation

Autor: Francesco Bigolin, Laura Caravenna, F. Serra Cassano

We provide a characterization of intrinsic Lipschitz graphs in the sub-Riemannian Heisenberg groups in terms of their distributional gradients. Moreover, we prove the equivalence of different notions of continuous weak solutions to the equation ∂ �

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afb72abbeaf45300d8e726b229f4992f
http://hdl.handle.net/11577/3106504

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