Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.
Ames, K.A., Payne, L.E. (1999)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Exponential stability of positive solutions to some nonlinear heat equations.”
Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.
A remark on parabolic equations.
Haraux, Alain (1997)
Portugaliae Mathematica
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On the backward heat problem: evaluation of the norm of .
Biollay, Yves (1980)
International Journal of Mathematics and Mathematical Sciences
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Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation.
Karachalios, Nikos, Stavrakakis, Nikos, Xanthopoulos, Pavlos (2003)
Abstract and Applied Analysis
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Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics
Wen Zhang, Jianwen Zhang (2012)
Applications of Mathematics
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In this paper, we prove the existence of a global solution to an initial-boundary value problem for 1-D flows of the viscous heat-conducting radiative and reactive gases. The key point here is that the growth exponent of heat conductivity is allowed to be any nonnegative constant; in particular, constant heat conductivity is allowed.
Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound.
Messaoudi, Salim A., Said-Houari, Belkacem (2004)
Journal of Applied Mathematics
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Blowup for degenerate and singular parabolic system with nonlocal source.
Zhou, Jun, Mu, Chunlai, Li, Zhongping (2006)
Boundary Value Problems [electronic only]
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A nonexistence result for a nonlinear PDE with Robin condition.
Khodja, Brahim (2006)
International Journal of Mathematics and Mathematical Sciences
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Stability of vibrations for some Kirchhoff equation with dissipation
Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)
Applications of Mathematics
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In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval with a tolerance level . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances...
Global and blowup solutions of quasilinear parabolic equation with critical Sobolev equation and lower energy initial value.
Tan, Zhong, Yao, Zheng-An (2001)
Journal of Inequalities and Applications [electronic only]
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First moments of energy and convergence to equilibrium.
Busca, Jerome (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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