Aronson, D. G. The focusing problem for the porous medium equation: experiment, simulation and analysis. (English) Zbl 1386.35221 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 135-147 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35K59 35K15 76S05 35K55 35K65 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Aronson, D. G. Self-similar focusing in porous media: an explicit calculation. (English) Zbl 1250.35165 Discrete Contin. Dyn. Syst., Ser. B 17, No. 6, 1685-1691 (2012). MSC: 35Q74 35Q35 35C06 35K55 76S05 35K15 35K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angenent, S. B.; Aronson, D. G. Optimal asymptotics for solutions to the initial value problem for the porous medium equation. (English) Zbl 0886.35112 Angell, T. S. (ed.) et al., Nonlinear problems in applied mathematics. In honor of Ivar Stakgold on his 70th birthday. Philadelphia, PA: SIAM. 10-19 (1996). MSC: 35Q35 35K65 76S05 35B40 × Cite Format Result Cite Review PDF
Angenent, S. B.; Aronson, D. G. The focusing problem for the radially symmetric porous medium equation. (English) Zbl 0830.35062 Commun. Partial Differ. Equations 20, No. 7-8, 1217-1240 (1995). Reviewer: C.A.De Moura (Fortaleza) MSC: 35K65 76S05 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Aronson, D. G.; Graveleau, J. A selfsimilar solution to the focusing problem for the porous medium equation. (English) Zbl 0780.35079 Eur. J. Appl. Math. 4, No. 1, 65-81 (1993). Reviewer: L.Vazquez (Madrid) MSC: 35Q35 35K55 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronson, D. G.; Vazquez, J. L. Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media. (English) Zbl 0642.76108 Arch. Ration. Mech. Anal. 99, 329-348 (1987). Reviewer: G.Pasa MSC: 76S05 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Aronson, D. G.; Vazquez, J. L. The porous medium equation as a finite-speed approximation to a Hamilton- Jacobi equation. (English) Zbl 0635.35047 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 4, 203-230 (1987). Reviewer: O.Vejvoda MSC: 35K55 35F20 76S05 35B40 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Aronson, D. G. The porous medium equation. (English) Zbl 0626.76097 Nonlinear diffusion problems, Lect. 2nd 1985 Sess. C.I.M.E., Montecatini Terme/Italy 1985, Lect. Notes Math. 1224, 1-46 (1986). Reviewer: G.Pasa MSC: 76S05 35K55 35K65 × Cite Format Result Cite Review PDF
Aronson, D. G.; Caffarelli, L. A. Optimal regularity for one-dimensional porous medium flow. (English) Zbl 0625.76102 Rev. Mat. Iberoam. 2, No. 3-4, 357-366 (1986). MSC: 76S05 35K30 35D10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Aronson, D. G.; Caffarelli, L. A.; Vazquez, J. L. Interfaces with a corner point in one-dimensional porous medium flow. (English) Zbl 0544.35058 Commun. Pure Appl. Math. 38, 375-404 (1985). MSC: 35K55 76S05 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Aronson, D. G.; Caffarelli, L. A. The initial trace of a solution of the porous medium equation. (English) Zbl 0556.76084 Trans. Am. Math. Soc. 280, 351-366 (1983). MSC: 76S05 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Aronson, Donald G.; Bénilan, Philippe Régularité des solutions de l’équation des milieux poreux dans \(\mathbb{R}^N\). (French) Zbl 0397.35034 C. R. Acad. Sci., Paris, Sér. A 288, 103-105 (1979). MSC: 35K55 35K15 35B65 35D10 × Cite Format Result Cite Review PDF