Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions

Operator Theory and Its Applications ◽

10.1090/fic/025/12 ◽

2000 ◽

pp. 239-256 ◽

Author(s):

Jan Eisner ◽

Milan Kučera

Keyword(s):

Boundary Conditions ◽

Reaction Diffusion ◽

Spatial Patterning ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Trajectory planning for semilinear time-fractional reaction-diffusion systems under Robin boundary conditions

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.1520 ◽

2020 ◽

Vol 53 (2) ◽

pp. 7722-7727

Author(s):

Fudong Ge ◽

Thomas Meurer

Keyword(s):

Boundary Conditions ◽

Trajectory Planning ◽

Reaction Diffusion ◽

Robin Boundary Conditions ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Robin Boundary ◽

Fractional Reaction

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Invariant sets for strongly coupled reaction-diffusion systems under general boundary conditions

Archive for Rational Mechanics and Analysis ◽

10.1007/bf01052975 ◽

1989 ◽

Vol 108 (4) ◽

pp. 281-291 ◽

Author(s):

Reinhard Redlinger

Keyword(s):

Boundary Conditions ◽

Reaction Diffusion ◽

Invariant Sets ◽

General Boundary ◽

General Boundary Conditions ◽

Strongly Coupled ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Coupled Reaction

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Monotonicity and Stability for Some Reaction-Diffusion Systems with Delay and Dirichlet Boundary Conditions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2000.7238 ◽

2001 ◽

Vol 255 (2) ◽

pp. 458-479

Author(s):

S. Amraoui ◽

S.Lalaoui Rhali

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Dirichlet Boundary Conditions ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Periodic Travelling Wave Selection by Dirichlet Boundary Conditions in Oscillatory Reaction-Diffusion Systems

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139902392483 ◽

2003 ◽

Vol 63 (5) ◽

pp. 1520-1538 ◽

Author(s):

Jonathan A. Sherratt

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Travelling Wave ◽

Dirichlet Boundary Conditions ◽

Oscillatory Reaction ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Periodic Travelling Wave

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Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions

Numerical Algorithms ◽

10.1007/s11075-019-00729-3 ◽

2019 ◽

Vol 83 (4) ◽

pp. 1373-1397 ◽

Author(s):

H. P. Bhatt ◽

A. Q. M. Khaliq ◽

K. M. Furati

Keyword(s):

Boundary Conditions ◽

Reaction Diffusion ◽

Exponential Time ◽

Reaction Diffusion Systems ◽

Exponential Time Differencing ◽

Nonhomogeneous Boundary ◽

Diffusion Systems ◽

Nonhomogeneous Boundary Conditions ◽

Exponential Time Differencing Method ◽

Fractional Reaction

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SOME EXISTENCE AND STABILITY RESULTS FOR SOLUTIONS OF REACTION-DIFFUSION SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS

Nonlinear Differential Equations ◽

10.1016/b978-0-12-508780-3.50019-5 ◽

1981 ◽

pp. 161-173 ◽

Author(s):

Jesús Hernández

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Reaction Diffusion ◽

Nonlinear Boundary Conditions ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Existence And Stability ◽

Stability Results

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On the question of global existence for reaction-diffusion systems with mixed boundary conditions

Quarterly of Applied Mathematics ◽

10.1090/qam/1218366 ◽

1993 ◽

Vol 51 (2) ◽

pp. 241-250 ◽

Author(s):

Selwyn L. Hollis

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Mixed Boundary ◽

Reaction Diffusion ◽

Mixed Boundary Conditions ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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POSITIVE SOLUTIONS OF REACTION-DIFFUSION SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS AND THE FIXED POINT INDEX

Nonlinear Phenomena in Mathematical Sciences ◽

10.1016/b978-0-12-434170-8.50068-6 ◽

1982 ◽

pp. 525-535 ◽

Author(s):

Jesús Hernández

Keyword(s):

Fixed Point ◽

Boundary Conditions ◽

Positive Solutions ◽

Fixed Point Index ◽

Nonlinear Boundary ◽

Reaction Diffusion ◽

Nonlinear Boundary Conditions ◽

Point Index ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Finite difference reaction–diffusion systems with coupled boundary conditions and time delays

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00145-2 ◽

2002 ◽

Vol 272 (2) ◽

pp. 407-434 ◽

Author(s):

C.V. Pao

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Delays ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Coupled Boundary Conditions

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Bounded solutions for reaction-diffusion systems with nonlinear boundary conditions

Nonlinear Analysis ◽

10.1016/0362-546x(90)90068-r ◽

1990 ◽

Vol 14 (12) ◽

pp. 1051-1077 ◽

Author(s):

Weihua Ruan

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Reaction Diffusion ◽

Nonlinear Boundary Conditions ◽

Bounded Solutions ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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