کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
841091 | 908499 | 2012 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions](/preview/png/841091.png)
چکیده انگلیسی
For a class of quasilinear parabolic systems with nonlinear Robin boundary conditions we construct a compact local solution semiflow in a nonlinear phase space of high regularity. We further show that a priori estimates in lower norms are sufficient for the existence of a global attractor in this phase space. The approach relies on maximal LpLp-regularity with temporal weights for the linearized problem. An inherent smoothing effect due to the weights is employed for obtaining gradient estimates. In several applications we can improve the convergence to an attractor by one regularity level.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 5, March 2012, Pages 2922–2935
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 5, March 2012, Pages 2922–2935
نویسندگان
Martin Meyries,