Some asymptotic profiles for the viscous Burgers equation with infinite mass
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Publisher
Cellule MathDoc/Centre Mersenne
Link
https://proceedings.centre-mersenne.org/item/10.5802/slsedp.167.pdf
Reference11 articles.
1. [1] Julian D. Cole. On a quasi-linear parabolic equation occurring in aerodynamics. Quart. Appl. Math., 9:225–236, 1951.
2. [2] N. De Nitti and E. Pacherie. Nested discontinuous asymptotic profiles for the viscous Burgers equation with infinite mass. arXiv:2406.10874
3. [3] Daniel B. Dix. Large-time behaviour of solutions of Burgers’ equation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 132(4):843–878, 2002.
4. [4] Miguel Escobedo, Juan Luis Vazquez, and Enrique Zuazua. Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Archive for Rational Mechanics and Analysis, 124:43–65, 01 1993.
5. [5] Thierry Gallay and Arnd Scheel. Viscous shocks and long-time behavior of scalar conservation laws. Communications on Pure and Applied Analysis, 2023. arXiv:2306.13341
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