کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839276 1470463 2016 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global existence for a class of quadratic reaction–diffusion systems with nonlinear diffusions and L1L1 initial data
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global existence for a class of quadratic reaction–diffusion systems with nonlinear diffusions and L1L1 initial data
چکیده انگلیسی

In this work, existence of global weak solutions in any space dimension is proven for a class of reaction–diffusion systems with L1L1-initial data, nonlinear diffusions and at most quadratic reactions. The proof relies on a dimension-independent L2L2-estimate, based on a total mass control assumption. If initial data are in L2L2, this estimate provides a control of the quadratic nonlinearities in L1L1 up to t=0t=0. In the case of L1L1-initial data, we prove that the L2L2-estimate can be localized in time, which allows to pass to the limit in an approximate system for t>0t>0. We then prove the continuity of the solution in L1L1 at t=0t=0.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 138, June 2016, Pages 369–387
نویسندگان
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