Vanishing viscosity limit of a conservation law regularised by a Riesz–Feller operator

Author:

Diez-Izagirre XubanORCID,Cuesta Carlota M.

Funder

Ministerio de Ciencia, Innovación y Universidades

Hezkuntza Saila, Eusko Jaurlaritzako

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference24 articles.

1. Achleitner, F., Cuesta, C.M., Hittmeir, S.: Travelling waves for a non-local Korteweg–de Vries–Burgers equation. J. Differ. Equ. 257(3), 720–758 (2014)

2. Achleitner, F., Hittmeir, S., Schmeiser, C.: On nonlinear conservation laws with a nonlocal diffusion term. J. Differ. Equ. 250(4), 2177–2196 (2011)

3. Achleitner, F., Hittmeir, S., Schmeiser, C.: On nonlinear conservation laws regularized by a Riesz–Feller operator. In: Hyperbolic Problems: Theory, Numerics, Applications. AIMS Series on Applied Mathematics, vol. 8, pp. 241–248. Am. Inst. Math. Sci. (AIMS), Springfield (2014)

4. Achleitner, F., Kuehn, C.: Traveling waves for a bistable equation with nonlocal diffusion. Adv. Differ. Equ. 20(9–10), 887–936 (2015)

5. Alibaud, N.: Entropy formulation for fractal conservation laws. J. Evol. Equ. 7(1), 145–175 (2007)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Numerical approximation of Riesz-Feller operators on R;Journal of Computational and Applied Mathematics;2025-01

2. Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case;Czechoslovak Mathematical Journal;2023-07-20

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