Blow-up results for a nonlinear hyperbolic equation with Lewis function.
Tahamtani, Faramarz (2009)
Boundary Value Problems [electronic only]
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Tahamtani, Faramarz (2009)
Boundary Value Problems [electronic only]
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Qingyong Gao, Fushan Li, Yanguo Wang (2011)
Open Mathematics
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In this paper, we consider the nonlinear Kirchhoff-type equation with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.
Bayrak, Vural, Can, Mehmet (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Gür, Şevket (2010)
Journal of Inequalities and Applications [electronic only]
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Eloulaimi, R., Guedda, M. (2001)
Portugaliae Mathematica. Nova Série
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de Lima Santos, Mauro (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Liang, Zhilei (2010)
Abstract and Applied Analysis
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Pavel Krejčí, Jürgen Sprekels (1998)
Applications of Mathematics
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In this paper, we develop a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress contains, in addition to elastic, viscous and thermic contributions, a plastic component of the form . Here and are the fields of strain and absolute temperature, respectively, and denotes a family of (rate-independent) hysteresis operators of Prandtl-Ishlinskii type, parametrized by the absolute temperature. The system...