On a Nonlinear Parabolic Problem arising in the Quantum Diffusive Description of a Degenerate Fermion Gas

Luigi Barletti; Francesco Salvarani

doi:10.1137/140998263

On a Nonlinear Parabolic Problem arising in the Quantum Diffusive Description of a Degenerate Fermion Gas

SIAM Journal on Applied Mathematics ◽

10.1137/140998263 ◽

2016 ◽

Vol 76 (3) ◽

pp. 867-886

Author(s):

Luigi Barletti ◽

Francesco Salvarani

Keyword(s):

Parabolic Problem ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic ◽

Fermion Gas

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On a fully coupled nonlinear parabolic problem modelling miscible compressible displacement in porous media

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.07.037 ◽

2008 ◽

Vol 339 (2) ◽

pp. 1112-1133 ◽

Cited By ~ 12

Author(s):

Catherine Choquet

Keyword(s):

Porous Media ◽

Parabolic Problem ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic ◽

Fully Coupled

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Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition

Boundary Value Problems ◽

10.1186/s13661-016-0663-y ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Xiufen Wang ◽

Yimin Shi

Keyword(s):

Boundary Condition ◽

Parabolic Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Laplacian Operator ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic

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Regularity of weak solutions for nonlinear parabolic problem withp(x)p(x)-growth

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2012.1.4 ◽

2012 ◽

pp. 1-26 ◽

Cited By ~ 2

Author(s):

Yongqiang Fu ◽

Mingqi Xiang ◽

Ning Pan

Keyword(s):

Weak Solutions ◽

Parabolic Problem ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic ◽

Regularity Of Weak Solutions

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Iterative Methods for Solving Nonlinear Parabolic Problem in Pension Saving Management

10.1063/1.3659948 ◽

2011 ◽

Cited By ~ 3

Author(s):

M. N. Koleva ◽

Michail D. Todorov ◽

Christo I. Christov

Keyword(s):

Iterative Methods ◽

Parabolic Problem ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic ◽

Pension Saving

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Numerical analysis of radially nonsymmetric blow-up solutions of a nonlinear parabolic problem

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00103-4 ◽

1998 ◽

Vol 97 (1-2) ◽

pp. 81-97 ◽

Cited By ~ 8

Author(s):

Stefka Dimova ◽

Michael Kaschiev ◽

Milena Koleva ◽

Daniela Vasileva

Keyword(s):

Numerical Analysis ◽

Parabolic Problem ◽

Blow Up ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic

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An efficient mass-conserved domain decomposition scheme for the nonlinear parabolic problem

Journal of Computational Science ◽

10.1016/j.jocs.2019.05.008 ◽

2019 ◽

Vol 35 ◽

pp. 66-79 ◽

Cited By ~ 1

Author(s):

Yuqing Zhao ◽

Guangmei Liu ◽

Zhongguo Zhou

Keyword(s):

Domain Decomposition ◽

Parabolic Problem ◽

Decomposition Scheme ◽

Nonlinear Parabolic Problem ◽

Conserved Domain ◽

Nonlinear Parabolic

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Finite element approximation of a nonlinear parabolic problem

Computers & Mathematics with Applications ◽

10.1016/0898-1221(78)90036-6 ◽

1978 ◽

Vol 4 (3) ◽

pp. 247-255 ◽

Cited By ~ 8

Author(s):

B. Neta

Keyword(s):

Finite Element ◽

Parabolic Problem ◽

Finite Element Approximation ◽

Element Approximation ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic

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Lower bounds for blow-up time in a nonlinear parabolic problem

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.01.010 ◽

2009 ◽

Vol 354 (1) ◽

pp. 394-396 ◽

Cited By ~ 38

Author(s):

L.E. Payne ◽

J.C. Song

Keyword(s):

Lower Bounds ◽

Parabolic Problem ◽

Blow Up ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic

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Controllability in a Nonlinear Parabolic Problem with Integral Overdetermination

Differential Equations ◽

10.1023/b:dieq.0000046863.03593.a8 ◽

2004 ◽

Vol 40 (6) ◽

pp. 853-872 ◽

Cited By ~ 3

Author(s):

A. V. Rozanova

Keyword(s):

Parabolic Problem ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic ◽

Integral Overdetermination

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Effect of a Gradient Term on the Solvability of the Heat Equation with a Supercritical Reaction with Respect to the Hardy Potential

Advanced Nonlinear Studies ◽

10.1515/ans-2014-0302 ◽

2014 ◽

Vol 14 (3) ◽

Author(s):

Boumediene Abdellaoui ◽

Ahmed Attar ◽

Susana Merchán ◽

Ireneo Peral

Keyword(s):

Heat Equation ◽

Parabolic Problem ◽

Gradient Term ◽

Hardy Potential ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic ◽

Supercritical Reaction

AbstractIn this paper we consider the following nonlinear parabolic problemwhere Ω ⊂ ℝ

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