✦ LIBER ✦

Propagation of Singularities in One-Dimensional Thermoelasticity

✍ Scribed by Reinhard Racke; Ya-Guang Wang

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 300 KB
Volume: 223
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.5972

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Remarks on Propagation of Singularities

Remarks on Propagation of Singularities in Thermoelasticity

✍ Ya-Guang Wang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 134 KB

The propagation of high order weak singularities for the system of homogeneous thermoelasticity in one space variable is studied by using paralinearization and a new decoupling technique introduced by the author (Microlocal analysis in nonlinear thermoelasticity, to appear). For the linear system, o

Regularizing properties and propagations

Regularizing properties and propagations of singularities for thermoelastic plates

✍ Jaime E. Muñoz Rivera; Luci Harue Fatori 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 186 KB

We consider the thermoelastic plate system,

Propagation of singularities for Cauchy

Propagation of singularities for Cauchy problems of semilinear thermoelastic systems with microtemperatures

✍ Lin Yang; Lihong Huang 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 176 KB

## Abstract The propagation of singularities of solutions to the Cauchy problem of a semilinear thermoelastic system with microtemperatures in one space variable is studied. First, by using a diagonalization argument of phase space analysis, the coupled thermoelastic system with microtemperatures w

Exponential stability in one-dimensional

Exponential stability in one-dimensional non-linear thermoelasticity with second sound

✍ Salim A. Messaoudi; Belkacem Said-Houari 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 209 KB

In this paper, we consider a one-dimensional non-linear system of thermoelasticity with second sound. We establish an exponential decay result for solutions with small 'enough' initial data. This work extends the result of Racke (Math. Methods Appl. Sci. 2002; 25:409 -441) to a more general situatio

Wave propagation in nonlinear one-dimens

Wave propagation in nonlinear one-dimensional soil model

✍ J. Ahn; G. Biscontin; J. M. Roesset 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 316 KB

## Abstract The objective of the research conducted by the authors is to explore the feasibility of determining reliable __in situ__ values of shear modulus as a function of strain. In this paper the meaning of the material stiffness obtained from impact and harmonic excitation tests on a surface s

A Nonexistence Result to a Cauchy Proble

A Nonexistence Result to a Cauchy Problem in Nonlinear One Dimensional Thermoelasticity

✍ Mokhtar Kirane; Nasser-eddine Tatar 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 111 KB

Considering the Cauchy problem for a nonlinear system arising in thermoelasticity, it is proved that its solution develops singularities in finite time depending on the size and regularity of the initial data. The present work is distinguished from a previous work by relaxing the requirements on the