High-Order Relaxation Schemes for Nonlinear Degenerate Diffusion Problems

Fausto Cavalli; Giovanni Naldi; Gabriella Puppo; Matteo Semplice

doi:10.1137/060664872

High-Order Relaxation Schemes for Nonlinear Degenerate Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/060664872 ◽

2007 ◽

Vol 45 (5) ◽

pp. 2098-2119 ◽

Cited By ~ 27

Author(s):

Fausto Cavalli ◽

Giovanni Naldi ◽

Gabriella Puppo ◽

Matteo Semplice

Keyword(s):

High Order ◽

Degenerate Diffusion ◽

Relaxation Schemes ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate ◽

Diffusion Problems

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Nonlinear degenerate diffusion problems with a singularity

Differential Equations & Applications ◽

10.7153/dea-03-07 ◽

2011 ◽

pp. 85-112

Author(s):

Kaouther Ammar ◽

Hicham Redwane

Keyword(s):

Degenerate Diffusion ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate ◽

Diffusion Problems

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Numerical methods for fourth order nonlinear degenerate diffusion problems

Applications of Mathematics ◽

10.1023/b:apom.0000034537.55985.44 ◽

2002 ◽

Vol 47 (6) ◽

pp. 517-543 ◽

Cited By ~ 8

Author(s):

Jurgen Becker ◽

Gunther Grun ◽

Martin Lenz ◽

Martin Rumpf

Keyword(s):

Numerical Methods ◽

Fourth Order ◽

Degenerate Diffusion ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate ◽

Diffusion Problems

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The integrable nonlinear degenerate diffusion equationu t=[f(u)u x ?1 x and its relatives

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00920043 ◽

1996 ◽

Vol 47 (6) ◽

pp. 926-942 ◽

Cited By ~ 4

Author(s):

Joanna M. Goard ◽

Philip Broadbridge ◽

Daniel J. Arrigo

Keyword(s):

Degenerate Diffusion ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics

SIAM Journal on Applied Mathematics ◽

10.1137/0143029 ◽

1983 ◽

Vol 43 (3) ◽

pp. 449-464 ◽

Cited By ~ 41

Author(s):

Toshitaka Nagai ◽

Masayasu Mimura

Keyword(s):

Population Dynamics ◽

Asymptotic Behavior ◽

Diffusion Equation ◽

Degenerate Diffusion ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate ◽

Degenerate Diffusion Equation

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ON SOME DECAY ESTIMATES OF SOLUTIONS FOR SOME NONLINEAR DEGENERATE DIFFUSION EQUATIONS

Progress in Analysis ◽

10.1142/9789812794253_0116 ◽

2003 ◽

Cited By ~ 1

Author(s):

TOKUMORI NANBU

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Decay Estimates ◽

Estimates Of Solutions ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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A nonlinear degenerate diffusion equation not in divergence form

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/pl00001503 ◽

2000 ◽

Vol 51 (1) ◽

pp. 149-159 ◽

Cited By ~ 24

Author(s):

S. Wang ◽

M. Wang ◽

Ch.-h. Xie

Keyword(s):

Diffusion Equation ◽

Divergence Form ◽

Degenerate Diffusion ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate ◽

Degenerate Diffusion Equation

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Fractional nonlinear degenerate diffusion equations on bounded domains part I. Existence, uniqueness and upper bounds

Nonlinear Analysis ◽

10.1016/j.na.2015.10.005 ◽

2016 ◽

Vol 131 ◽

pp. 363-398 ◽

Cited By ~ 16

Author(s):

Matteo Bonforte ◽

Juan Luis Vázquez

Keyword(s):

Upper Bounds ◽

Diffusion Equations ◽

Bounded Domains ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30203-0 ◽

1993 ◽

Vol 13 (2) ◽

pp. 167-179

Author(s):

Tao Luo ◽

Ling Xiao

Keyword(s):

Large Time ◽

Large Time Behavior ◽

Diffusion Equations ◽

Time Behavior ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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$L^{p}$ -estimates of solutions of some nonlinear degenerate diffusion equations

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03710041 ◽

1985 ◽

Vol 37 (1) ◽

pp. 41-63 ◽

Cited By ~ 25

Author(s):

Mitsuhiro NAKAO

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Estimates Of Solutions ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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Localized Cluster Solutions of Nonlinear Degenerate Diffusion Equations Arising in Population Dynamics

SIAM Journal on Mathematical Analysis ◽

10.1137/0520058 ◽

1989 ◽

Vol 20 (4) ◽

pp. 845-869 ◽

Cited By ~ 7

Author(s):

Yuzo Hosono ◽

Masayasu Mimura

Keyword(s):

Population Dynamics ◽

Diffusion Equations ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Cluster Solutions ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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