Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-021-01711-x ◽

2021 ◽

Author(s):

Hongjun Guo ◽

Wan-Tong Li ◽

Rongsong Liu ◽

Zhi-Cheng Wang

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Periodic Media ◽

Spatially Periodic

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Reaction–diffusion equations in space–time periodic media

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.10.004 ◽

2007 ◽

Vol 345 (9) ◽

pp. 489-493 ◽

Author(s):

Grégoire Nadin

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Periodic Media ◽

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Existence of Stable Spatially Periodic Steady States in Coupled Reaction-Diffusion Equations

Advances in Applied Mathematics ◽

10.1006/aama.1993.1005 ◽

1993 ◽

Vol 14 (1) ◽

pp. 62-88 ◽

Author(s):

J.G.G. Yan

Keyword(s):

Reaction Diffusion ◽

Steady States ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Spatially Periodic ◽

Coupled Reaction

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Existence and Homogenisation of Travelling Waves Bifurcating from Resonances of Reaction–Diffusion Equations in Periodic Media

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-014-9398-6 ◽

2014 ◽

Vol 26 (3) ◽

pp. 405-459 ◽

Author(s):

Adam Boden ◽

Karsten Matthies

Keyword(s):

Travelling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2011.05.003 ◽

2011 ◽

Vol 28 (4) ◽

pp. 471-483 ◽

Author(s):

Mathew A. Johnson ◽

Kevin Zumbrun

Keyword(s):

Nonlinear Stability ◽

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions ◽

Spatially Periodic ◽

Periodic Traveling Wave

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Spatially Periodic Domain Structure in Coupled Reaction–Diffusion Equations for Segment Formation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.81.024802 ◽

2012 ◽

Vol 81 (2) ◽

pp. 024802 ◽

Author(s):

Hidetsugu Sakaguchi

Keyword(s):

Domain Structure ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Periodic Domain ◽

Spatially Periodic ◽

Coupled Reaction ◽

Periodic Domain Structure

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A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2010-04931-1 ◽

2010 ◽

Vol 362 (11) ◽

pp. 5605-5605 ◽

Author(s):

Xing Liang ◽

Xiaotao Lin ◽

Hiroshi Matano

Keyword(s):

Variational Problem ◽

Travelling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Minimal Speed ◽

Periodic Reaction ◽

Spatially Periodic

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EXISTENCE OF TRAVELING WAVES FOR REACTION DIFFUSION EQUATIONS OF FISHER TYPE IN PERIODIC MEDIA

Boundary Value Problems for Functional Differential Equations ◽

10.1142/9789812812841_0016 ◽

1995 ◽

pp. 187-199 ◽

Author(s):

W. HUDSON ◽

B. ZINNER

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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Front propagation for integro-differential KPP reaction–diffusion equations in periodic media

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-019-0573-7 ◽

2019 ◽

Vol 26 (4) ◽

Author(s):

Panagiotis E. Souganidis ◽

Andrei Tarfulea

Keyword(s):

Reaction Diffusion ◽

Front Propagation ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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Stability of spatially periodic pulse patterns in a class of singularly perturbed reaction-diffusion equations

Indiana University Mathematics Journal ◽

10.1512/iumj.2005.54.2792 ◽

2005 ◽

Vol 54 (5) ◽

pp. 1219-1302 ◽

Author(s):

Arjen Doelman

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Periodic Pulse ◽

Spatially Periodic

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Blocking and invasion for reaction–diffusion equations in periodic media

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-018-1412-0 ◽

2018 ◽

Vol 57 (5) ◽

Author(s):

Romain Ducasse ◽

Luca Rossi

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

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