On the mathematical structure and numerical solution of discrete-continuous optimization problems in DDCM [0.03%]
DDCM中离散连续优化问题的数学结构和数值解法研究
Cristian G Gebhardt,Senta Lange,Marc C Steinbach
Cristian G Gebhardt
In this work, we investigate data-driven elasticity problems defined on a closed interval of the real line that are spatially discretized by means of the finite element method. This one-dimensional setting allows us to gain a deeper underst...
Andrea Chiesa,Ulisse Stefanelli
Andrea Chiesa
We investigate the evolution of a two-phase viscoelastic material at finite strains. The phase evolution is assumed to be irreversible: One phase accretes in time in its normal direction, at the expense of the other. Mechanical response dep...
Spatial dynamics of a viral infection model with immune response and nonlinear incidence [0.03%]
具有非线性发病率和免疫反应的病毒感染模型的空间动力学
Tingting Zheng,Yantao Luo,Zhidong Teng
Tingting Zheng
Incorporating humoral immunity, cell-to-cell transmission and degenerated diffusion into a virus infection model, we investigate a viral dynamics model in heterogenous environments. The model is assumed that the uninfected and infected cell...
Dynamics of a diffusion epidemic SIRI system in heterogeneous environment [0.03%]
异质环境下SIRI模型的传播动力学研究
Wenjie Li,Ying Zhang,Jinchen Ji et al.
Wenjie Li et al.
This paper studies the dynamical behaviors of a diffusion epidemic SIRI system with distinct dispersal rates. The overall solution of the system is derived by using L p theory and the Young's inequality. The uniformly boundedness of the so...
Propagation thresholds in a diffusive epidemic model with latency and vaccination [0.03%]
具有潜伏期和疫苗接种的扩散型流行病模型中的传播阈值
Yahui Wang,Xinjian Wang,Guo Lin
Yahui Wang
This paper studies the propagation thresholds in a diffusive epidemic model with latency and vaccination. When the initial condition satisfies proper exponential decaying behavior, we present the spatial expansion feature of the infected. D...
Trefftz co-chain calculus [0.03%]
特雷夫茨余链演算
Daniele Casati,Lorenzo Codecasa,Ralf Hiptmair et al.
Daniele Casati et al.
We are concerned with a special class of discretizations of general linear transmission problems stated in the calculus of differential forms and posed on R n . In the spirit of domain decomposition, we partition R n = Ω ∪ &#...
Dynamics of a reaction-diffusion SIRS model with general incidence rate in a heterogeneous environment [0.03%]
一般感染率下异质环境中反应扩散SIRS模型的动态分析
Eric Avila-Vales,Ángel G C Pérez
Eric Avila-Vales
In this paper, we study a diffusive SIRS-type epidemic model with transfer from the infectious to the susceptible class. Our model includes a general nonlinear incidence rate and spatially heterogeneous diffusion coefficients. We compute th...
Biswajit Basu,Calin I Martin
Biswajit Basu
We are concerned here with an analysis of the nonlinear irrotational gravity water wave problem with a free surface over a water flow bounded below by a flat bed. We employ a new formulation involving an expression (called flow force) which...
Averaging of turbulent micropolar media: turbulent couple-stress, heat flux, and energy [0.03%]
涡旋微极介质的平均化：涡旋偶应力、热通量和能量
Martin Ostoja-Starzewski
Martin Ostoja-Starzewski
The equations governing turbulent flow of micropolar incompressible media are studied using the Reynolds decomposition. The average force-stress is augmented by the Reynolds stress of the same form as in classical continuum mechanics, while...
M Graf,M Kunzinger,D Mitrovic et al.
M Graf et al.
We prove existence and uniqueness of a solution to the Cauchy problem corresponding to the dynamics capillarity equation ∂ t u ε , δ + div f ε , δ ( x , u ε , δ ) = ε Δ u ε , &...