Numerical treatment of degenerate diffusion equations via Feller's boundary classification, and applications

Emanuela Cacio; Stephen E. Cohn; Renato Spigler

doi:10.1002/num.20657

Numerical treatment of degenerate diffusion equations via Feller's boundary classification, and applications

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20657 ◽

2011 ◽

Vol 28 (3) ◽

pp. 807-833 ◽

Cited By ~ 2

Author(s):

Emanuela Cacio ◽

Stephen E. Cohn ◽

Renato Spigler

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Numerical Treatment ◽

Degenerate Diffusion Equations ◽

Boundary Classification

Download Full-text

NONUNIQUENESS IN STRONGLY DEGENERATE DIFFUSION EQUATIONS WITH STRONG ABSORPTION

EQUADIFF 2003 ◽

10.1142/9789812702067_0046 ◽

2005 ◽

Cited By ~ 1

Author(s):

MICHAEL WINKLER

Keyword(s):

Strong Absorption ◽

Diffusion Equations ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Strongly Degenerate

Download Full-text

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

Download Full-text

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

Download Full-text

On a system of degenerate diffusion equations

Proceedings of Symposia in Pure Mathematics - Nonlinear Functional Analysis and Its Applications ◽

10.1090/pspum/045.1/843555 ◽

1986 ◽

pp. 133-139

Author(s):

M. Bertsch ◽

M. E. Gurtin ◽

D. Hilhorst ◽

L. A. Peletier

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations

Download Full-text

Lototsky-Schnabl operators on the unit interval and degenerate diffusion equations

Progress in Functional Analysis, Proceedings of the International Functional Analysis Meeting on the Occasion of the 60th Birthday of Professor M. Valdivia - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)70325-6 ◽

1992 ◽

pp. 259-277 ◽

Cited By ~ 8

Author(s):

F. Altomare

Keyword(s):

Unit Interval ◽

Diffusion Equations ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations

Download Full-text

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

Download Full-text

Transport distances and geodesic convexity for systems of degenerate diffusion equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-015-0909-z ◽

2015 ◽

Vol 54 (4) ◽

pp. 3397-3438 ◽

Cited By ~ 15

Author(s):

Jonathan Zinsl ◽

Daniel Matthes

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Geodesic Convexity ◽

Degenerate Diffusion Equations

Download Full-text

Gradient estimates for degenerate diffusion equations. I

Mathematische Annalen ◽

10.1007/bf01456828 ◽

1982 ◽

Vol 259 (1) ◽

pp. 53-70 ◽

Cited By ~ 26

Author(s):

Nicholas D. Alikakos ◽

Rouben Rostamian

Keyword(s):

Diffusion Equations ◽

Gradient Estimates ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations

Download Full-text

Quenching phenomena in strongly degenerate diffusion equations with strong absorption

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2003.09.006 ◽

2003 ◽

Vol 288 (2) ◽

pp. 481-504 ◽

Cited By ~ 3

Author(s):

Michael Winkler

Keyword(s):

Strong Absorption ◽

Diffusion Equations ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Strongly Degenerate

Download Full-text

Existence of weak solutions to doubly degenerate diffusion equations

Applications of Mathematics ◽

10.1007/s10492-012-0004-0 ◽

2012 ◽

Vol 57 (1) ◽

pp. 43-69 ◽

Cited By ~ 5

Author(s):

Aleš Matas ◽

Jochen Merker

Keyword(s):

Weak Solutions ◽

Diffusion Equations ◽

Degenerate Diffusion ◽

Existence Of Weak Solutions ◽

Degenerate Diffusion Equations

Download Full-text