Exponential stability and maximal attractors for a one-dimensional nonlinear thermoviscoelasticity

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxh048 ◽

2005 ◽

Vol 70 (4) ◽

pp. 509-526 ◽

Author(s):

Yuming Qin

Keyword(s):

Exponential Stability ◽

One Dimensional ◽

Nonlinear Thermoviscoelasticity

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Exponential stability of one-dimensional hyperbolic systems

10.22323/1.018.0005 ◽

2006 ◽

Author(s):

Farid Khodja Ammar ◽

Mustapha Mokhtar-Kharroubi

Keyword(s):

Exponential Stability ◽

Hyperbolic Systems ◽

One Dimensional

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On a finite element method for the equations of one-dimensional nonlinear thermoviscoelasticity

Computing ◽

10.1007/bf02247940 ◽

1988 ◽

Vol 40 (2) ◽

pp. 111-124 ◽

Author(s):

S. Jiang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

One Dimensional ◽

Nonlinear Thermoviscoelasticity ◽

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Unique Global Solvability for¶Initial-Boundary Value Problems¶in One-Dimensional Nonlinear Thermoviscoelasticity

Archive for Rational Mechanics and Analysis ◽

10.1007/s002050050007 ◽

2000 ◽

Vol 153 (1) ◽

pp. 1-37 ◽

Author(s):

Stephen J. Watson

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Global Solvability ◽

Initial Boundary Value Problems ◽

One Dimensional ◽

Nonlinear Thermoviscoelasticity ◽

Initial Boundary Value

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Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00171-3 ◽

2002 ◽

Vol 272 (2) ◽

pp. 507-535 ◽

Author(s):

Yuming Qin

Keyword(s):

Exponential Stability ◽

Real Gas ◽

One Dimensional

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On two-scale homogenized equations of one-dimensional nonlinear thermoviscoelasticity with rapidly oscillating nonsmooth data

Comptes Rendus de l Académie des Sciences - Series IIB - Mechanics ◽

10.1016/s1620-7742(01)01312-5 ◽

2001 ◽

Vol 329 (3) ◽

pp. 169-174

Author(s):

Andrey Amosov ◽

Alexander Zlotnik

Keyword(s):

Nonsmooth Data ◽

One Dimensional ◽

Nonlinear Thermoviscoelasticity

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Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier–Stokes equations with capillarity

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103222 ◽

2021 ◽

Vol 58 ◽

pp. 103222

Author(s):

Yuming Qin ◽

Jianlin Zhang ◽

Yang Wang ◽

Xing Su

Keyword(s):

Global Existence ◽

Exponential Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Stability Of Solutions ◽

Navier Stokes Equations ◽

One Dimensional ◽

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One-dimensional Nonlinear Thermoviscoelasticity

Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors ◽

10.1007/978-3-7643-8814-0_6 ◽

2008 ◽

pp. 293-337

Keyword(s):

One Dimensional ◽

Nonlinear Thermoviscoelasticity

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Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity

Nonlinear Analysis ◽

10.1016/0362-546x(82)90058-x ◽

1982 ◽

Vol 6 (5) ◽

pp. 435-454 ◽

Author(s):

C.M. Dafermos ◽

L. Hsiao

Keyword(s):

One Dimensional ◽

Nonlinear Thermoviscoelasticity ◽

Thermomechanical Processes

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A priori bounds in one-dimensional nonlinear thermoviscoelasticity

Nonlinear PDE’s, Dynamics and Continuum Physics - Contemporary Mathematics ◽

10.1090/conm/255/03984 ◽

2000 ◽

pp. 229-238 ◽

Author(s):

Stephen J. Watson

Keyword(s):

A Priori ◽

A Priori Bounds ◽

One Dimensional ◽

Nonlinear Thermoviscoelasticity

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Global existence and asymptotic behaviour of the solution to the system in one-dimensional nonlinear thermoviscoelasticity

Quarterly of Applied Mathematics ◽

10.1090/qam/1811097 ◽

2001 ◽

Vol 59 (1) ◽

pp. 113-142 ◽

Author(s):

Yuming Qin

Keyword(s):

Global Existence ◽

Asymptotic Behaviour ◽

One Dimensional ◽

Nonlinear Thermoviscoelasticity

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