Gui - Qiang
نویسندگان
چکیده
The talk concerns the equation of motion for one-dimensional nonlinear viscoelasticity of strain-rate type under the assumption that the stored-energy function is λ-convex, which allows for solid phase transformations. The problem is formulated as a gradient flow, leading to existence and uniqueness of solutions. By approximating general initial data by those in which the deformation gradient takes only finitely many values, we show that the deformation gradient is instantaneously bounded and bounded away from zero. Finally, we discuss the open problem of showing that every solution converges to an equilibrium state as time t→∞ and prove convergence to equilibrium under a nondegeneracy condition.We show that this condition is satisfied in particular for any real analytic cubic-like stress-strain function. This is joint work with Yasemin Sengul.
منابع مشابه
Comparison Principles for Self - Similar Potential Flow by Gui - Qiang
We establish a strong comparison principle, as well as a weak comparison principle and a Hopf-type lemma, for elliptic solutions of the self-similar potential flow equation. A major difference from the steady case is that the coefficients of the equation depend on the potential function itself, besides its gradient. We employ the divergence structure and other features of the equation to derive...
متن کاملEffect of HFE Mutations on SVR
293 Received December 26, 2011; revision accepted for publication March 27, 2012. doi: 10.1620/tjem.226.293 Correspondence: Gui-Qiang Wang, Department of Infectious Diseases, Center for Liver Diseases, Peking University First Hospital, No. 8, XiShiKu Street, XiCheng District, Beijing 100034, P.R. China. e-mail: [email protected], [email protected] The H63D Mutation of the Hemochromatosis...
متن کاملCLINICAL SCIENCE Percutaneous closure of a post-traumatic ventricular septal defect with a patent ductus arteriosus occluder
Er-Ping Xi, Jian Zhu, Shui-Bo Zhu, Gui-Lin Yin, Yong Liu, Yong-Qiang Dong, Yu Zhang, Feng Xia I Wuhan General Hospital of Guangzhou Command, Department of Thoracic Cardiovascular Surgery, Wuhan, People’s Republic of China. II Southern Medical University, Guangzhou, People’s Republic of China. III Liaocheng People’s Hospital, Liaocheng, Department of Cardiovascular Surgery, People’s Republic of ...
متن کاملViscosity Limit for Multidimensional Euler Equations for Compressible, Isentropic Fluid Flows with Radial Symmetry and Large Initial Data
متن کامل
SHOCK DIFFRACTION BY CONVEX CORNERED WEDGES FOR THE NONLINEAR WAVE SYSTEM by
We are concerned with rigorous mathematical analysis of shock diffraction by two-dimensional convex cornered wedges in compressible fluid flow, through the nonlinear wave system. This shock diffraction problem can be formulated as a boundary value problem for second-order nonlinear partial differential equations of mixed elliptichyperbolic type in an unbounded domain. It can be further reformul...
متن کامل