Results 31 to 40 of about 106,224 (286)
Null controllability of a nonlinear heat equation
Abstract and Applied Analysis, 2002 We study the internal exact null controllability of a nonlinear heat equation with homogeneous Dirichlet boundary condition. The method used combines the Kakutani fixed-point theorem and the Carleman estimates for the backward adjoint linearized system ...
G. Aniculăesei, S. Aniţa
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Nonlocal transformations of Kolmogorov equations into the backward heat equation
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bluman, George, Shtelen, Vladimir
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On the backward heat problem: evaluation of the norm of ∂u∂t
International Journal of Mathematics and Mathematical Sciences, 1980 We show in this paper that ‖Δu‖=‖ut‖ is bounded ∀t≤T(0)
Yves Biollay
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Frontiers in Earth Science, 2022 A modified VG model considering both pore ratio and temperature effect is constructed. Based on the wet-thermal elasticity theory and mixture theory, coupled thermo-hydro-mechanical (THM) equations for moisture migration, heat transfer, and deformation ...
Peipei Chen +5 more
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Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow
, 2012 We prove several differential Harnack inequalities for positive solutions to nonlinear backward heat equations with different potentials coupled with the Ricci flow.
Aronson +15 more
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Minimum Principles for Ill-Posed Problems [PDF]
, 1978 Ill-posed problems Ax = h are discussed in which A is Hermitian,and postive definite; a bound ║Bx║ ≤ β is prescribed. A minimum principle is given for an approximate solution x^. Comparisons are made with the least-squares solutions of K.
Franklin, Joel N.
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A Regularization Method for Backward Heat Equation on a Rectangular Domain
Journal of Harbin University of Science and TechnologyA regularization method is proposed for the non-homogeneous backward heat equation with a space-dependent source on a two-dimensional rectangular domain. This method is an extension of a known regularization approach.
WANG Yu, SUN Wei
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Quantum-Liouville and Langevin Equations for Gravitational Radiation Damping
, 2001 From a forward--backward path integral, we derive a master equation for the emission and absorption of gravitons by a massive quantum object in a heat bath of gravitons. Such an equation could describe collapse phenomena of dense stars. We also present a
Adler S. +6 more
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Sets of unique continuation for heat equation [PDF]
, 2014 We study nodal lines of solutions to the heat equations. We are interested in the global geometry of nodal sets, in the whole domain of definition of the solution.
Nadirashvili, Nikolai +1 more
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A Simple Boltzmann Transport Equation for Ballistic to Diffusive Transient Heat Transport [PDF]
, 2015 Developing simplified, but accurate, theoretical approaches to treat heat transport on all length and time scales is needed to further enable scientific insight and technology innovation. Using a simplified form of the Boltzmann transport equation (BTE),
Chen G. +4 more
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