Multi-dimensional Burgers Equation with Unbounded Initial Data: Well-Posedness and Dispersive Estimates
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2019/07/08
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Indian UGC (journal)
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Refrences21
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Citations13
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Denis Serre ORCID (unauthenticated)
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Luis Silvestre
Cite
Serre, Denis, and Luis Silvestre. “Multi-Dimensional Burgers Equation With Unbounded Initial Data: Well-Posedness and Dispersive Estimates”. Archive for Rational Mechanics and Analysis, vol. 234, no. 3, 2019, pp. 1391-1, https://doi.org/10.1007/s00205-019-01414-4.
Serre, D., & Silvestre, L. (2019). Multi-dimensional Burgers Equation with Unbounded Initial Data: Well-Posedness and Dispersive Estimates. Archive for Rational Mechanics and Analysis, 234(3), 1391-1411. https://doi.org/10.1007/s00205-019-01414-4
Serre, Denis, and Luis Silvestre. “Multi-Dimensional Burgers Equation With Unbounded Initial Data: Well-Posedness and Dispersive Estimates”. Archive for Rational Mechanics and Analysis 234, no. 3 (2019): 1391-1411. https://doi.org/10.1007/s00205-019-01414-4.
Serre D, Silvestre L. Multi-dimensional Burgers Equation with Unbounded Initial Data: Well-Posedness and Dispersive Estimates. Archive for Rational Mechanics and Analysis. 2019;234(3):1391-41.
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Oscillation Properties of Scalar Conservation Laws | Communications on Pure and Applied Mathematics |
| 8 | 2018 |
| Compensated integrability. Applications to the Vlasov–Poisson equation and other models in mathematical physics | Journal de Mathématiques Pures et Appliquées |
| 9 | 2019 |
| Divergence-free positive symmetric tensors and fluid dynamics | Annales de l'Institut Henri Poincaré C, Analyse non linéaire |
| 19 | 2018 |
| 10.4171/RMI/765 | 2013 | |||
| 10.1090/S0894-0347-1994-1201239-3 | 1994 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities | Journal of Functional Analysis |
| 4 | 2023 |
| Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection | Journal de Mathématiques Pures et Appliquées |
| 2023 | |
Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave | Nonlinearity |
| 2023 | |
About the shock formation in multi-dimensional scalar conservation laws | Journal of Hyperbolic Differential Equations |
| 2023 | |
| Asymptotic stability of scalar multi-D inviscid shock waves | Annales de l'Institut Fourier |
| 2023 |
Citations Analysis
The category
Science: Mathematics 13
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Source-Solutions for the Multi-dimensional Burgers Equation and was published in 2020. The most recent citation comes from a 2023 study titled About the shock formation in multi-dimensional scalar conservation laws. This article reached its peak citation in 2023, with 5 citations. It has been cited in 11 different journals. Among related journals, the Journal of Functional Analysis cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.