Evolution Equations in Thermoelasticity
Evolution Equations in Thermoelasticity
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DOI：
10.1115/1.1445336
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发表时间：
2000-06
期刊：
影响因子：
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通讯作者：
Song Jiang;E. Racke;M. Shitikova
中科院分区：
文献类型：
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作者：
Song Jiang;E. Racke;M. Shitikova
线性化系统方程的适定性和一般渐近渐近性线性适定性第一结果线性化一维模型的时间渐近性态大时间行为有界域柯西问题奇点的半轴传播线性化多维模型大时间行为有界域各向同性介质三次介质奇点传播局部存在初边值问题柯西问题非线性一维热弹性有界域柯西问题大数据弱非线性多维热有界域光滑解的半轴定常爆破问题-up接触问题全动态接触问题拟静态接触问题线性拟静态问题拟静态接触光滑性质相关结果在阻尼情况下的指数衰减解的渐近性态为1/2x1/2(R)*数值分析附录线性发展系统线性方程的存在性理论线性双曲型方程组的线性抛物型方程的正则性及不等式
DERIVATION OF THE EQUATIONS WELL-POSEDNESS OF THE LINEARIZED SYSTEM AND GENERAL ASYMPTOTICS Linear Well-Posedness First Results on the Time-Asymptotic Behavior ASYMPTOTIC BEHAVIOR FOR LINEARIZED ONE-DIMENSIONAL MODELS Large Time Behavior Bounded Domains The Cauchy Problem The Semi-Axis Propagation of Singularities ASYMPTOTIC BEHAVIOR FOR LINEARIZED MULTI-DIMENSIONAL MODELS Large-Time Behavior Bounded Domains The Cauchy Problem Isotropic Media Cubic media Propagation of singularities LOCAL EXISTENCE Initial Boundary Value Problems The Cauchy Problem NONLINEAR ONE-DIMENSIONAL THERMOELASTICITY Bounded Domains The Cauchy Problem The Semi-Axis Stationary Forces Blow-up of Smooth Solutions for Large Data Weak Solutions NONLINEAR MULTI-DIMENSIONAL THERMOELASTICITY Bounded Domains The Cauchy Problem Blow-Up CONTACT PROBLEMS Fully Dynamical Contact Problems Quasi-Static Contact Problems Linear Quasi-Static Problems Quasi-Static Contact Smoothing Property RELATED RESULTS Exponential Decay in the Case of Damping Asymptotic Behavior of Solutions as 1/2x1/2 (R)* Numerical Analysis APPENDIX Existence Theory for Linear Equations Existence for Linear Evolution Systems Linear Hyperbolic Systems Linear Parabolic Equations Regularity for Linear Elliptic Systems and Inequalities