کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904404 1633701 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Initial boundary value problem for a nonconservative system in elastodynamics
ترجمه فارسی عنوان
مسئله ارزش مرزی اولیه برای سیستم غیر محافظه کاری در الاستودینامیک
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
This article is concerned with the initial boundary value problem for a nonconservative system of hyperbolic equation appearing in elastodynamics in the space time domain x > 0, t > 0. The number of boundary conditions, to be prescribed at the boundary x = 0, depends on the number of characteristics entering the domain. Because our system is nonlinear, the characteristic speeds depends on the unknown and the direction of the characteristics curves are known apriori. As it is well known, the boundary condition has to be understood in a generalised way. One of the standard way is using vanishing viscosity method. We use this method to construct solution for a particular class of initial and boundary data, namely the initial and boundary datas that lie on the level sets of one of the Riemann invariants.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 38, Issue 3, May 2018, Pages 1043-1056
نویسندگان
, ,