Volume 25, Issue 2
Global Solvability in Thermoelasticity with Second Sound on the Semi-axis

Yuxi Hu

J. Part. Diff. Eq., 25 (2012), pp. 139-170.

Published online: 2012-06

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  • Abstract

In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in R^+. First, we derive decay rates for linear systems which, in fact, is a hyperbolic systems with a damping term. Then, using this linear decay rates, we get L^1 and L^∞ decay rates for nonlinear systems. Finally, combining with L^2 estimates and a local existence theorem, we prove a global existence and uniqueness theorem for small smooth data.

  • Keywords

Second sound linear decay rates semi-axis global solution

  • AMS Subject Headings

35L50 74F05 74H20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-25-139, author = {}, title = {Global Solvability in Thermoelasticity with Second Sound on the Semi-axis}, journal = {Journal of Partial Differential Equations}, year = {2012}, volume = {25}, number = {2}, pages = {139--170}, abstract = {

In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in R^+. First, we derive decay rates for linear systems which, in fact, is a hyperbolic systems with a damping term. Then, using this linear decay rates, we get L^1 and L^∞ decay rates for nonlinear systems. Finally, combining with L^2 estimates and a local existence theorem, we prove a global existence and uniqueness theorem for small smooth data.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v25.n2.3}, url = {http://global-sci.org/intro/article_detail/jpde/5180.html} }
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