Global Regularity for Some Oldroyd-B Type Models
نویسندگان
چکیده
منابع مشابه
Global Regularity for Some Oldroyd Type Models
We investigate some critical models for visco-elastic flows of Oldroyd-B type in dimension two. We use a transformation which exploits the Oldroyd-B structure to prove an L∞ bound on the vorticity which allows us to prove global regularity for our systems.
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We review an argument of Renardy proving existence and regularity for a subset of a class of models of non-Newtonian fluids suggested by Oldroyd, including the upper-convected and lower-convected Maxwellian models. We propose an effective method for solving these models, including a variational formulation suitable for finite element computation. We consider some model equations proposed for no...
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در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Remarks on Oldroyd-b and Related Complex Fluid Models
We prove global existence and uniqueness of solutions of Oldroyd-B systems with relatively small data in Rd, in a large functional setting (Cα ∩ L1). This is a stability result, solutions select an equilibrium and converge exponentially to it. Large spatial derivatives of the initial density and stress are allowed, provided the L∞ norm of the density and stress are small enough. We prove global...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2015
ISSN: 0010-3640
DOI: 10.1002/cpa.21563