On the convergence rate of vanishing viscosity approximations
نویسندگان
چکیده
منابع مشابه
On the Convergence Rate of Vanishing Viscosity Approximations
Given a strictly hyperbolic, genuinely nonlinear system of conservation laws, we prove the a priori bound ‖u(t, · )− uε(t, · )‖L1 = O(1)(1 + t) · √ ε |ln ε| on the distance between an exact BV solution u and a viscous approximation uε , letting the viscosity coefficient ε → 0. In the proof, starting from u we construct an approximation of the viscous solution uε by taking a mollification u ∗ φ√...
متن کاملOn the Convergence Rate of Vanishing Viscosity Approximations for Nonlinear Hyperbolic Systems
Given a strictly hyperbolic, genuinely nonlinear system of conservation laws, we prove the a priori bound ∥u(t, ·) − u(t, ·) ∥∥ L = O(1)(1 + t) · √ε| ln ε| on the distance between an exact BV solution u and a viscous approximation u, letting the viscosity coefficient ε → 0. In the proof, starting from u we construct an approximation of the viscous solution u by taking a mollification u ∗ φ√ ε a...
متن کاملRate of Convergence for Vanishing Viscosity Approximations to Hyperbolic Balance Laws
The rate of convergence for vanishing viscosity approximations to hyperbolic balance laws is established. The result applies to systems that are strictly hyperbolic and genuinely nonlinear with a source term satisfying a special mechanism that induces dissipation. The proof relies on error estimates that measure the interaction of waves. Shock waves are treated by monitoring the evolution of su...
متن کاملOptimal Rate of Convergence for Anisotropic Vanishing Viscosity Limit of a Scalar Balance Law
An open question in numerical analysis of multidimensional scalar conservation laws discretized on non-structured grids is the optimal rate of convergence. The main difficulty relies on a priori BV bounds which cannot be derived by opposition to the case of structured (cartesian) grids. In this paper we consider a related question for a corresponding continuous model, namely the vanishing visco...
متن کامل: the effect of sericin levels (silk glue protein) on rate of in vitro maturation, fertilization and culture of sheep oocytes
هدف از آزمایش اول بررسی اثر سطوح مختلف سریسین [0 (control), 0.1, 0.5, 1.0, 2.5 %] افزوده شده به محیط , ivm بر cumulus cell expansion، بلوغ هسته و توسعه متوالی جنین، در گوسفندان نژاد سنجابی در فصل تولید مثلی می باشد. از سرگیری میوز به وسیله خارج شدن اولین پولار بادی اندازه گیری و هم چنین درصد رسیدن جنین های دو سلولی به مرحله کلیواژ و بلاستوسیت نیز به عنوان نشانه ای از میزان شایستگی توسعه اولیه ج...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2004
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.20030