کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610613 1338574 2014 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Formation of singularities in solutions to the compressible radiation hydrodynamics equations with vacuum
ترجمه فارسی عنوان
شکل گیری تکینگی در راه حل های معادلات هیدرودینامیک تابش فشاری با خلاء
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
We study the Cauchy problem for multi-dimensional compressible radiation hydrodynamics equations with vacuum. First, we present some sufficient conditions on the blow-up of smooth solutions in multi-dimensional space. Then, we obtain the invariance of the support of density for the smooth solutions with compactly supported initial mass density by the property of the system under the vacuum state. Based on the above-mentioned results, we prove that we cannot get a global classical solution, no matter how small the initial data are, as long as the initial mass density is of compact support. Finally, we will see that some of the results that we obtained are still valid for the isentropic flows with degenerate viscosity coefficients as well as for one-dimensional case.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 12, 15 June 2014, Pages 3943-3980
نویسندگان
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