کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4664914 | 1345314 | 2009 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function](/preview/png/4664914.png)
چکیده انگلیسی
Under a non-degeneracy condition on the nonlinearities we show that sequences of approximate entropy solutions of mixed elliptic-hyperbolic equations are strongly precompact in the general case of a Caratheodory flux vector. The proofs are based on deriving localization principles for H-measures associated to sequences of measurevalued functions. This main result implies existence of solutions to degenerate parabolic convection-diffusion equations with discontinuous flux. Moreover, it provides a framework in which one can prove convergence of various types of approximate solutions, such as those generated by the vanishing viscosity method and numerical schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 29, Issue 6, November 2009, Pages 1573-1612
Journal: Acta Mathematica Scientia - Volume 29, Issue 6, November 2009, Pages 1573-1612