American Institute of Physics;Melville, NY: American Institute of Physics
摘要:
摘要： This paper studies solutions of the generalized Buckley-Leverett (BL) equation with variable porosity and solutions of the regularized BL equation with the Burgers-Benjamin-Bona-Mahony-type regularization. We construct global in time weak solutions to the Cauchy problem and to the initial- and boundary-value problem for the generalized BL equation and global classical solutions for the regularized BL equation. Solutions of the regularized BL equation are shown to converge to the corresponding solution of the generalized BL equation when the coefficient γ of the BBM term and the coefficient ν of the Burgers term obey γ = O(ν2). 出版者： Melville, NY: American Institute of Physics 出版日期： 2012-05-01 出處： Journal of mathematical physics, 2012-05, Vol.53 (5), p.053701-053701-24 資源來源： AIP Journals (American Institute of Physics) 版權： American Institute of Physics 版權： 2012 American Institute of Physics 版權： 2015 INIST-CNRS 版權： Copyright American Institute of Physics May 2012 識別號： ISSN: 0022-2488 識別號： EISSN: 1089-7658 識別號： DOI: 10.1063/1.4711133 識別號： CODEN: JMAPAQ
