Academic Journal
On strong dynamics of compressible two-component mixture flow
| العنوان: | On strong dynamics of compressible two-component mixture flow |
|---|---|
| المؤلفون: | Piasecki, T, Shibata, Y, Zatorska, E |
| المصدر: | SIAM Journal on Mathematical Analysis , 51 (4) pp. 2793-2849. (2019) |
| سنة النشر: | 2019 |
| المجموعة: | University College London: UCL Discovery |
| مصطلحات موضوعية: | compressible Navier–Stokes equations, Maxwell–Stefan equations, gaseous mixtures, regular solutions, maximal regularity, decay estimates |
| الوصف: | We investigate a system describing the flow of a compressible two-component mixture. The system is composed of the compressible Navier–Stokes equations coupled with nonsymmetric reaction-diffusion equations describing the evolution of fractional masses. We show the local existence and, under certain smallness assumptions, also the global existence of unique strong solutions in an Lp-Lq framework. Our approach is based on so-called entropic variables which enable us to rewrite the system in a symmetric form. Then, applying Lagrangian coordinates, we show the local existence of solutions applying the Lp-Lq maximal regularity estimate. Next, applying an exponential decay estimate we show that the solution exists globally in time provided the initial data is sufficiently close to some constants. The nonlinear estimates impose restrictions 2 |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | text |
| اللغة: | English |
| Relation: | https://discovery.ucl.ac.uk/id/eprint/10085757/7/17m1151134.pdf; https://discovery.ucl.ac.uk/id/eprint/10085757/ |
| الاتاحة: | https://discovery.ucl.ac.uk/id/eprint/10085757/7/17m1151134.pdf https://discovery.ucl.ac.uk/id/eprint/10085757/ |
| Rights: | open |
| رقم الانضمام: | edsbas.BF2F7B3B |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |