Convergent difference schemes for the Hunter–Saxton equation
نویسندگان
چکیده
منابع مشابه
Convergent difference schemes for the Hunter-Saxton equation
We propose and analyze several finite difference schemes for the Hunter–Saxton equation (HS) ut + uux = 1 2 ∫ x 0 (ux) 2 dx, x > 0, t > 0. This equation has been suggested as a simple model for nematic liquid crystals. We prove that the numerical approximations converge to the unique dissipative solution of (HS), as identified by Zhang and Zheng. A main aspect of the analysis, in addition to th...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2007
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-07-01919-9