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Jun Zhou - One of the best experts on this subject based on the ideXlab platform.
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blow up for a thin film equation with positive Initial Energy
Journal of Mathematical Analysis and Applications, 2017Co-Authors: Jun ZhouAbstract:Abstract In this paper, we consider a thin-film equation with nonlocal source, which was studied by Qu and Zhou (2016) [11] , where the authors derived the conditions for global existence, blow-up and extinction. We consider the case that the Initial Energy is positive and establish a blow-up result for this case. Furthermore, the upper bound of the blow-up time is derived.
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Upper bound estimate for the blow-up time of an evolution m -Laplace equation involving variable source and positive Initial Energy
Computers & Mathematics with Applications, 2015Co-Authors: Jun Zhou, Di YangAbstract:In this paper, we study an evolution m -Laplace equation involving variable source and positive Initial Energy. We establish a blow-up result for a certain solution with positive Initial Energy and estimate the upper bound of the blow-up time for the blowing up solutions.
Yuzhu Han - One of the best experts on this subject based on the ideXlab platform.
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A class of fourth-order parabolic equation with arbitrary Initial Energy
Nonlinear Analysis: Real World Applications, 2018Co-Authors: Yuzhu HanAbstract:Abstract In this paper we apply the modified potential well method to the study of the long time behaviors of solutions to a class of fourth-order parabolic equation in a bounded smooth domain of R n for arbitrary n ≥ 1 . Global existence and blow up in finite time of solutions are obtained when the Initial data satisfy different conditions. To be a little more precise, we give a threshold result for the solutions to exist globally or to blow up in finite time when the Initial Energy is subcritical and critical, respectively. Moreover, the decay rate of the L 2 norm is also obtained for global solutions. Sufficient conditions for the existence of global and blow-up solutions are also provided for supercritical Initial Energy. These improve and generalize some recent results.
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blow up of a nonlocal semilinear parabolic equation with positive Initial Energy
Applied Mathematics Letters, 2011Co-Authors: Wenjie Gao, Yuzhu HanAbstract:Abstract In this short work, a semilinear parabolic equation with a homogeneous Neumann boundary condition is studied. A blow-up result for a certain solution with positive Initial Energy is established.
Raju Venugopalan - One of the best experts on this subject based on the ideXlab platform.
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Initial Energy density of gluons produced in very high Energy nuclear collisions
Physical Review Letters, 2000Co-Authors: Alex Krasnitz, Raju VenugopalanAbstract:In very-high-Energy nuclear collisions, the Initial Energy of produced gluons per unit area per unit rapidity, (dE/L{sup 2})/d{eta} , is equal to f(g{sup 2}{mu}L) (g{sup 2}{mu}){sup 3}/g{sup 2} , where {mu}{sup 2} is proportional to the gluon density per unit area of the colliding nuclei. For an SU(2) gauge theory, a nonperturbative computation of f(g{sup 2}{mu}L) shows that it varies rapidly for small g{sup 2}{mu}L but varies only by {approx}25% , from 0.208{+-}0.004 to 0.257{+-}0.005 , for a wide range 35.36 -296.98 in g{sup 2}{mu}L . This includes the range relevant for collisions at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). Extrapolating to SU(3), we estimate dE/d{eta} for Au-Au collisions in the central region at RHIC and LHC. (c) 2000 The American Physical Society.
Xiulan Wu - One of the best experts on this subject based on the ideXlab platform.
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blow up of solutions for a semilinear parabolic equation involving variable source and positive Initial Energy
Applied Mathematics Letters, 2013Co-Authors: Xiulan WuAbstract:Abstract This paper deals with a class of semilinear parabolic equations with variable reaction u t = Δ u + u p ( x ) with homogeneous Dirichlet boundary conditions. A blow-up result is established for certain solution with positive Initial Energy.
Alex Krasnitz - One of the best experts on this subject based on the ideXlab platform.
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Initial Energy density of gluons produced in very high Energy nuclear collisions
Physical Review Letters, 2000Co-Authors: Alex Krasnitz, Raju VenugopalanAbstract:In very-high-Energy nuclear collisions, the Initial Energy of produced gluons per unit area per unit rapidity, (dE/L{sup 2})/d{eta} , is equal to f(g{sup 2}{mu}L) (g{sup 2}{mu}){sup 3}/g{sup 2} , where {mu}{sup 2} is proportional to the gluon density per unit area of the colliding nuclei. For an SU(2) gauge theory, a nonperturbative computation of f(g{sup 2}{mu}L) shows that it varies rapidly for small g{sup 2}{mu}L but varies only by {approx}25% , from 0.208{+-}0.004 to 0.257{+-}0.005 , for a wide range 35.36 -296.98 in g{sup 2}{mu}L . This includes the range relevant for collisions at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). Extrapolating to SU(3), we estimate dE/d{eta} for Au-Au collisions in the central region at RHIC and LHC. (c) 2000 The American Physical Society.