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## Merkin, John H.

Compute Distance To:
 Author ID: merkin.john-h Published as: Merkin, J. H.; Merkin, John H.; Merkin, John; Merkin, J. Homepage: https://www1.maths.leeds.ac.uk/applied/staff.dir/merkin/merkin.html External Links: Wikidata · ResearchGate · dblp
 Documents Indexed: 190 Publications since 1967
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#### Co-Authors

 33 single-authored 48 Scott, Stephen K. 30 Needham, David John 29 Pop, Ioan 16 Kalliadasis, Serafim 11 Simon, Peter L. 8 Ingham, Derek Binns 6 Brindley, John 6 Leach, Jannie A. 6 Ševčıková, Hana 5 Lazarovici, A. 5 Metcalf, Mark J. 5 Satnoianu, Razvan Alin 4 Kumaran, V. 4 Lok, Yian Yian 4 Sadiq, Muhammad Adil 4 Snita, D. 3 Finlayson, A. B. 3 Gray, Brian F. 3 Kiss, István Z. 3 Morris, Philip J. 3 Nazar, Roslinda Mohd 3 Pilling, Michael J. 3 Rennell, R. W. 3 Yannacopoulos, Athanasios N. 2 Collier, S. M. 2 Groşan, Teodor S. 2 Hasal, Pavel 2 Jivraj, N. A. 2 King, Andrew C. 2 Neufeld, Zoltán 2 Poole, A. J. 2 Sleeman, Brian D. 2 Smith, Frank T. 2 Tomlin, Alison S. 2 Trevelyan, Philip M. J. 2 Yang, Jianbo 1 Arifin, Norihan Md 1 Bachok, Norfifah 1 Dalman, M. T. 1 Godula, Tomas 1 Howe, Sally E. 1 Ishak, Anuar 1 Jaradat, Mohammad A. 1 Kaas-Petersen, Christian 1 Kay, Anthony 1 Kuiken, Hendrik K. 1 Liñán, Amable 1 McGreavy, C. 1 Mealey, L. 1 Merkin, M. R. 1 Nita, D. 1 Noszticzius, Zoltán 1 Revnic, Cornelia 1 Roberts, M. J. 1 Roşca, Alin V. 1 Roşca, Natalia C. 1 Salleh, Mohd Zuki 1 Smith, J. D. B. 1 Tamizharasi, R. 1 Taylor, Annette F. 1 Thompson, Barnaby W. 1 Vajravelu, Kuppalapalle 1 Volpert, Vitaly A. 1 Wake, Graeme Charles 1 Weidman, Patrick D.
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#### Serials

 31 Journal of Engineering Mathematics 19 IMA Journal of Applied Mathematics 15 Journal of Mathematical Chemistry 13 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 11 Acta Mechanica 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Dynamics and Stability of Systems 9 Quarterly Journal of Mechanics and Applied Mathematics 7 International Journal of Heat and Mass Transfer 7 Journal of Fluid Mechanics 7 Physica D 6 Mathematical and Computer Modelling 5 Meccanica 5 European Journal of Mechanics. B. Fluids 4 Fluid Dynamics Research 4 Philosophical Transactions of the Royal Society of London. Series A 4 Mathematical Engineering in Industry 2 Nonlinearity 2 International Journal of Mathematics and Mathematical Sciences 2 SIAM Journal on Applied Mathematics 2 Chaos 1 Computers and Fluids 1 Journal of Mathematical Biology 1 Physics Letters. A 1 Applied Mathematics and Computation 1 Numerical Heat Transfer 1 European Journal of Mechanics. B. Fluids 1 Archive of Applied Mechanics 1 Physics of Fluids 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Combustion Theory and Modelling 1 Forma 1 Journal of Theoretical Biology
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#### Fields

 97 Fluid mechanics (76-XX) 82 Classical thermodynamics, heat transfer (80-XX) 69 Biology and other natural sciences (92-XX) 63 Partial differential equations (35-XX) 15 Ordinary differential equations (34-XX) 13 Numerical analysis (65-XX) 11 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

156 Publications have been cited 947 times in 574 Documents Cited by Year
On dual solutions occurring in mixed convection in a porous medium. Zbl 0597.76081
Merkin, J. H.
1986
On roll waves down an open inclined channel. Zbl 0553.76013
Needham, D. J.; Merkin, J. H.
1984
Mixed convection boundary layer flow on a vertical surface in a saturated porous medium. Zbl 0433.76078
Merkin, J. H.
1980
The effect of buoyancy forces on the boundary-layer flow over a semi- infinite vertical flat plate in a uniform free stream. Zbl 0164.56201
Merkin, J. H.
1969
Mixed convection boundary layer similarity solutions: Prescribed wall heat flux. Zbl 0667.76126
Merkin, J. H.; Mahmood, T.
1989
Triple-deck solutions for subsonic flow past humps, steps, concave or convex corners and wedged trailing edges. Zbl 0516.76043
Smith, F. T.; Merkin, J. H.
1982
A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I: Equal diffusivities. Zbl 1052.80505
Chaudhary, M. A.; Merkin, J. H.
1995
Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system. Zbl 0707.76083
Merkin, J. H.; Needham, D. J.
1989
On the creation, growth and extinction of oscillatory solutions for a simple pooled chemical reaction scheme. Zbl 0627.92026
Merkin, J. H.; Needham, D. J.; Scott, S. K.
1987
Similarity solutions in free convection boundary-layer flows adjacent to vertical permeable surfaces in porous media. I: Prescribed surface temperature. Zbl 0835.76100
Chaudhary, M. A.; Merkin, J. H.; Pop, I.
1995
The propagation of a voidage disturbance in a uniformly fluidized bed. Zbl 0543.76130
Needham, D. J.; Merkin, J. H.
1983
The development of travelling waves in a simple isothermal chemical system. II: Cubic autocatalysis with quadratic and linear decay. Zbl 0718.92029
Merkin, J. H.; Needham, D. J.
1990
Free convection with blowing and suction. Zbl 0236.76068
Merkin, J. H.
1972
The development of travelling waves in a simple isothermal chemical system with general orders of autocatalysis and decay. Zbl 0749.92025
Needham, D. J.; Merkin, J. H.
1991
Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis. Zbl 0809.92027
Metcalf, M. J.; Merkin, J. H.; Scott, S. K.
1994
The development of travelling waves in a simple isothermal chemical system. I: Quadratic autocatalysis with linear decay. Zbl 0682.92024
Merkin, J. H.; Needham, D. J.; Scott, S. K.
1989
A note on the similarity solutions for free convection on a vertical plate. Zbl 0577.76083
Merkin, J. H.
1985
The existence and stability of quasi-steady periodic voidage waves in a fluidized bed. Zbl 0609.76040
Needham, D. J.; Merkin, J. H.
1986
Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics. Zbl 0952.76095
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K.
1998
Free convection boundary layers in a saturated porous medium with lateral mass flux. Zbl 0391.76061
Merkin, J. H.
1978
Reaction-diffusion waves in an isothermal chemical system with general orders of autocatalysis and spatial dimension. Zbl 0779.35057
Merkin, J. H.; Needham, D. J.
1993
A model for isothermal homogeneous-heterogeneous reactions in boundary-layer flow. Zbl 0884.76090
Merkin, J. H.
1996
On infinite period bifurcations with an application to roll waves. Zbl 0588.76024
Merkin, J. H.; Needham, D. J.
1986
Similarity solutions in axisymmetric mixed-convection boundary-layer flow. Zbl 0656.76073
Mahmood, T.; Merkin, J. H.
1988
A note on the solution of a differential equation arising in boundary- layer theory. Zbl 0532.76038
Merkin, J. H.
1984
Coupled reaction-diffusion waves in an isothermal autocatalytic chemical system. Zbl 0780.35053
Merkin, J. H.; Needham, D. J.; Scott, S. K.
1993
A simple model for sustained oscillations in isothermal branched-chain or autocatalytic reactions in a well stirred open system. I: Stationary states and local stabilities. Zbl 0606.92029
Merkin, J. H.; Needham, D. J.; Scott, S. K.
1985
The forced convection flow of a uniform stream over a flat surface with a convective surface boundary condition. Zbl 1419.76591
Merkin, J. H.; Pop, I.
2011
Evans function analysis of the stability of non-adiabatic flames. Zbl 1068.80531
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2003
Free convection boundary layers near corners and sharp trailing edges. Zbl 0487.76045
Merkin, J. H.; Smith, F. T.
1982
Conjugate free convection on a vertical surface. Zbl 0963.76582
Merkin, J. H.; Pop, I.
1996
The effects of blowing and suction on free convection boundary layers. Zbl 0295.76019
Merkin, J. H.
1975
On solutions of the boundary-layer equations with algebraic decay. Zbl 0389.76022
Merkin, J. H.
1978
The effects of blowing and suction on free convection boundary layers on vertical surfaces with prescribed heat flux. Zbl 0781.76077
Chaudhary, M. A.; Merkin, J. H.
1993
Mixed convection similarity solutions on a horizontal surface. Zbl 0611.76092
Merkin, J. H.; Ingham, D. B.
1987
Combustion initiation and extinction in a 2D chaotic flow. Zbl 1032.80006
Kiss, I. Z.; Merkin, J. H.; Neufeld, Z.
2003
The effects of an electric field on an autocatalytic ionic reaction in a system with high ionic strength. Zbl 0903.35079
Merkin, J. H.; Ševčíková, H.; Šnita, D.; Marek, M.
1998
Mixed convection on a vertical circular cylinder. Zbl 0642.76100
Mahmood, T.; Merkin, J. H.
1988
Forced-convection heat transfer over a circular cylinder with Newtonian heating. Zbl 1325.76171
Salleh, M. Z.; Nazar, R.; Arifin, N. M.; Pop, I.; Merkin, J. H.
2011
The development of spatial structure in an ionic chemical system induced by applied electric fields. Zbl 0968.35119
Merkin, John; Satnoianu, Razvan; Scott, Stephen
2000
Free-convection boundary layers on vertical surfaces driven by an exothermic surface reaction. Zbl 0812.76089
Merkin, J. H.; Chaudhary, M. A.
1994
The use of algebraic sets in the approximation of inertial manifolds and lumping in chemical kinetic systems. Zbl 0885.92039
Yannacopoulos, A. N.; Tomlin, A. S.; Brindley, J.; Merkin, J. H.; Pilling, M. J.
1995
Stable pattern and standing wave formation in a simple isothermal cubic autocatalytic reaction scheme. Zbl 0847.35064
Hill, R.; Merkin, J. H.; Needham, D. J.
1995
Free-convection stagnation-point boundary layers driven by catalytic surface reactions. I: The steady states. Zbl 0801.76093
Chaudhary, M. A.; Merkin, J. H.
1994
Disjoint bifurcation diagrams in combustion systems. Zbl 0758.35083
Gray, B. F.; Merkin, J. H.; Wake, G. C.
1991
Steady states, oscillations and heat explosion in a combustion problem with convection. Zbl 1060.76127
Lazarovici, A.; Volpert, V.; Merkin, J. H.
2005
The development of nonlinear waves on the surface of a horizontally rotating thin liquid film. Zbl 0642.76047
Needham, D. J.; Merkin, J. H.
1987
Creation of spatial structure by an electric field applied to an ionic cubic autocatalator system. Zbl 0948.92026
Finlayson, A. B.; Merkin, J. H.
2000
The unsteady MHD boundary-layer flow on a shrinking sheet. Zbl 1196.76086
Merkin, J. H.; Kumaran, V.
2010
Mixed convection boundary layer flow over a permeable vertical surface with prescribed wall heat flux. Zbl 1133.76048
Ishak, A.; Merkin, J. H.; Nazar, R.; Pop, I.
2008
Forced convective structures in a differential flow reactor. Zbl 0935.35063
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K.
1999
Pattern formation in a coupled cubic autocatalator system. Zbl 0815.92003
Hill, R.; Merkin, J. H.
1994
Reaction-diffusion waves in coupled isothermal autocatalytic chemical systems. Zbl 0808.35164
Metcalf, M. J.; Merkin, J. H.; Scott, S. K.
1993
Mixed convection along a vertical surface: Similarity solutions for uniform flow. Zbl 1064.76610
Merkin, J. H.; Pop, I.
2002
Natural convection from a semi-infinite flat plate inclined at a small angle to the horizontal in a saturated porous medium. Zbl 0605.76103
Ingham, D. B.; Merkin, J. H.; Pop, I.
1985
Free convection on a heated vertical plate: The solution for small Prandtl number. Zbl 0702.76100
Merkin, J. H.
1989
The effect of an electric field on the local stoichiometry of front waves in an ionic chemical system. Zbl 0945.92029
Merkin, J. H.; Ševčíková, H.; Šnita, D.
2000
The collision of free-convection boundary layers on a horizontal cylinder embedded in a porous medium. Zbl 0524.76083
Ingham, D. B.; Merkin, J. H.; Pop, I.
1983
Free convection boundary layers over humps and indentations. Zbl 0537.76055
Merkin, J. H.
1983
Flow past a suddenly cooled vertical flat surface in a saturated porous medium. Zbl 0502.76106
Ingham, D. B.; Merkin, J. H.; Pop, I.
1982
A note on the similarity equations arising in free convection boundary layers with blowing and suction. Zbl 0803.76078
Merkin, J. H.
1994
Conjugate free convection on a vertical surface in a saturated porous medium. Zbl 1051.76611
Pop, I.; Merkin, J. H.
1995
An infinite period bifurcation arising in roll waves down an open inclined channel. Zbl 0593.76024
Merkin, J. H.; Needham, D. J.
1986
The effects of a complexing agent on travelling waves in autocatalytic systems with applied electric fields. Zbl 1084.35032
Merkin, J. H.; Ševčíková, H.
2005
Inhibition of flame propagation by an endothermic reaction. Zbl 1058.80006
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2003
On the free convection boundary layer on a vertical plate with prescribed surface heat flux. Zbl 0708.76119
Merkin, J. H.; Mahmood, T.
1990
Stationary-state solutions for coupled reaction-diffusion and temperature-conduction equations. I: Infinite slab and cylinder with general boundary conditions. Zbl 0713.35030
Brindley, J.; Jivraj, N. A.; Merkin, J. H.; Scott, S. K.
1990
Stationary-state solutions for coupled reaction-diffusion and temperature-conduction equations. II: Spherical geometry with Dirichlet boundary conditions. Zbl 0713.35031
Brindley, J.; Jivraj, N. A.; Merkin, J. H.; Scott, S. K.
1990
The development of travelling waves in a simple isothermal chemical system. III: Cubic and mixed autocatalysis. Zbl 0718.92030
Gray, P.; Merkin, J. H.; Needham, D. J.; Scott, S. K.
1990
Dynamics of a vertically falling film in the presence of a first-order chemical reaction. Zbl 1185.76372
Trevelyan, Philip M. J.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2002
The effects of an outer flow on the unsteady free convection boundary layer near a stagnation point in a heat-generating porous medium. Zbl 1302.76063
Merkin, J. H.
2014
Quenching of flame propagation with heat loss. Zbl 1023.92049
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2002
Wave propagation in spatially distributed excitable media. Zbl 1048.92002
Yang, Jianbo; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2002
On the spread of morphogens. Zbl 1066.92003
Merkin, J. H.; Sleeman, B. D.
2005
Free convection boundary layers driven by exothermic surface reactions: Critical ambient temperatures. Zbl 0832.92029
Chaudhary, M. A.; Liñan, A.; Merkin, J. H.
1995
The effects of geometrical spreading in two and three dimensions on the formation of travelling wavefronts in a simple, isothermal, chemical system. Zbl 0800.35052
Needham, D. J.; Merkin, J. H.
1992
An analysis of a two-cell coupled nonlinear chemical oscillator. Zbl 0761.92048
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1991
Stability of flames in an exothermic-endothermic system. Zbl 1149.80302
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2004
The structure of flame filaments in chaotic flows. Zbl 1006.80002
Kiss, I. Z.; Merkin, J. H.; Scott, S. K.; Simon, P. L.; Kalliadasis, S.; Neufeld, Z.
2003
The propagation of travelling waves in an open cubic autocatalytic chemical system. Zbl 0872.92022
Merkin, J. H.; Sadiq, M. A.
1996
Oscillations and waves in the Belousov-Zhabotinskii reaction in a finite medium. Zbl 0857.92023
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1994
Mixed convection boundary-layer on a vertical cylinder embedded in a saturated porous medium. Zbl 0608.76071
Merkin, J. H.; Pop, I.
1987
A mathematical model for the spread of morphogens with density dependent chemosensitivity. Zbl 1078.92010
Merkin, J. H.; Needham, D. J.; Sleeman, B. D.
2005
Pattern formation through reaction and diffusion in a simple pooled- chemical system. Zbl 0702.58083
Needham, D. J.; Merkin, J. H.
1989
Travelling waves in an ionic autocatalytic chemical system with an imposed electric field. Zbl 1067.92504
Snita, D.; Sevcikova, H.; Marek, M.; Merkin, M.; Merkin, J. H.
1997
Reaction fronts in an ionic autocatalytic system with an applied electric field. Zbl 0948.92027
Merkin, J. H.; Ševčíková, H.
1999
On the structural stability of the cubic autocatalytic scheme in a closed vessel. Zbl 0673.93070
Gray, B. F.; Merkin, J. H.; Roberts, M. J.
1989
Free convection boundary layers on a vertical surface in a heat-generating porous medium. Zbl 1138.76060
Mealey, L.; Merkin, J. H.
2008
Natural convective boundary-layer flow in a heat generating porous medium with a prescribed wall heat flux. Zbl 1171.76051
Merkin, J. H.
2009
Unsteady free convective boundary-layer flow near a stagnation point in a heat-generating porous medium. Zbl 1294.76227
Merkin, J. H.
2013
Combustion in a porous material with reactant consumption: The role of the ambient temperature. Zbl 0805.34024
Sadiq, M. A.; Merkin, J. H.
1994
Multistability, oscillations and travelling waves in a product-feedback autocatalator model. II: The initiation and propagation of travelling waves. Zbl 0821.92026
Collier, S. M.; Merkin, J. H.; Scott, S. K.
1994
Two-cell coupled cubic autocatalator: The effect of the uncatalysed reaction. Zbl 0782.92023
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1992
Reaction-diffusion model for combustion with fuel consumption. I: Dirichlet boundary conditions. Zbl 0775.76214
Zhang, G.; Merkin, J. H.; Scott, S. K.
1991
Mixed convection on a vertical surface with a prescribed heat flux: The solution for small and large Prandtl numbers. Zbl 0749.76064
Merkin, J. H.; Pop, I.; Mahmood, T.
1991
A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. II: Different diffusivities for reactant and autocatalyst. Zbl 1052.80506
Chaudhary, M. A.; Merkin, J. H.
1995
The suppression of an exothermic branched-chain flame through endothermic reaction and radical scavenging. Zbl 1013.80006
Gray, B. F.; Kalliadasis, S.; Lazarovici, A.; Macaskill, C.; Merkin, J. H.; Scott, S. K.
2002
Free convection stagnation point boundary layers driven by catalytic surface reactions. II: Times to ignition. Zbl 0876.76081
Chaudhary, M. A.; Merkin, J. H.
1996
A simple model for sustained oscillations in isothermal branched-chain or autocatalytic reactions in a well stirred open system. II: Limit cycles and non-stationary states. Zbl 0606.92030
Merkin, J. H.; Needham, D. J.; Scott, S. K.
1985
Free convection from a vertical cylinder embedded in a saturated porous medium. Zbl 0608.76075
Merkin, J. H.
1986
An anomalous self-similar solution for a laminar wall jet flowing up a heated vertical wall. Zbl 07167122
Merkin, J. H.; Weidman, P. D.
2020
On an equation arising in the boundary-layer flow of stretching/shrinking permeable surfaces. Zbl 1443.76123
Merkin, J. H.; Pop, I.
2020
Stagnation point flow past a stretching/shrinking sheet driven by arrhenius kinetics. Zbl 1427.76059
Merkin, J. H.; Pop, I.
2018
Mixed convection boundary-layer flow near the lower stagnation point of a horizontal circular cylinder with a second-order wall velocity condition and a constant surface heat flux. Zbl 1328.35179
Roşca, Natalia C.; Roşca, Alin V.; Merkin, John H.; Pop, Ioan
2015
MHD oblique stagnation-point flow towards a stretching/shrinking surface. Zbl 1336.76045
Lok, Y. Y.; Merkin, J. H.; Pop, I.
2015
The effects of an outer flow on the unsteady free convection boundary layer near a stagnation point in a heat-generating porous medium. Zbl 1302.76063
Merkin, J. H.
2014
Unsteady free convective boundary-layer flow near a stagnation point in a heat-generating porous medium. Zbl 1294.76227
Merkin, J. H.
2013
A similarity solution for the flow and heat transfer over a moving permeable flat plate in an external free stream: case of strong injection. Zbl 1293.76119
Merkin, J. H.; Bachok, N.; Jaradat, M. A.; Pop, I.
2013
Mixed convection boundary-layer flow on a horizontal flat surface with a convective boundary condition. Zbl 1293.74374
Grosan, T.; Merkin, J. H.; Pop, I.
2013
The development of forced convection heat transfer near a forward stagnation point with Newtonian heating. Zbl 1268.76059
Merkin, J. H.; Nazar, R.; Pop, I.
2012
On thin film flow of a third-grade fluid down an inclined plane. Zbl 1293.76038
Kumaran, V.; Tamizharasi, R.; Merkin, J. H.; Vajravelu, K.
2012
Natural convective boundary-layer flow in a heat generating porous medium with a constant surface heat flux. Zbl 1291.76296
Merkin, J. H.
2012
The unsteady heat transfer due to a heat source in an MHD stretching sheet flow. Zbl 1293.76174
Merkin, John H.; Kumaran, V.
2012
The forced convection flow of a uniform stream over a flat surface with a convective surface boundary condition. Zbl 1419.76591
Merkin, J. H.; Pop, I.
2011
Forced-convection heat transfer over a circular cylinder with Newtonian heating. Zbl 1325.76171
Salleh, M. Z.; Nazar, R.; Arifin, N. M.; Pop, I.; Merkin, J. H.
2011
The unsteady MHD boundary-layer flow on a shrinking sheet. Zbl 1196.76086
Merkin, J. H.; Kumaran, V.
2010
Natural convective boundary-layer flow in a heat generating porous medium with a prescribed wall heat flux. Zbl 1171.76051
Merkin, J. H.
2009
Travelling waves in the Oregonator model for the BZ reaction. Zbl 1185.35299
Merkin, J. H.
2009
Mixed convection flow near an axisymmetric stagnation point on a vertical cylinder. Zbl 1160.76044
Revnic, Cornelia; Grosan, Teodor; Merkin, John; Pop, Ioan
2009
Mixed convection boundary layer flow over a permeable vertical surface with prescribed wall heat flux. Zbl 1133.76048
Ishak, A.; Merkin, J. H.; Nazar, R.; Pop, I.
2008
Free convection boundary layers on a vertical surface in a heat-generating porous medium. Zbl 1138.76060
Mealey, L.; Merkin, J. H.
2008
Free convective boundary-layer flow in a heat-generating porous medium: similarity solutions. Zbl 1138.76032
Merkin, J. H.
2008
Travelling waves in autocatalytic chemical systems with decay: bounds on existence. Zbl 1120.92050
Merkin, J. H.
2007
Steady states, oscillations and heat explosion in a combustion problem with convection. Zbl 1060.76127
Lazarovici, A.; Volpert, V.; Merkin, J. H.
2005
The effects of a complexing agent on travelling waves in autocatalytic systems with applied electric fields. Zbl 1084.35032
Merkin, J. H.; Ševčíková, H.
2005
On the spread of morphogens. Zbl 1066.92003
Merkin, J. H.; Sleeman, B. D.
2005
A mathematical model for the spread of morphogens with density dependent chemosensitivity. Zbl 1078.92010
Merkin, J. H.; Needham, D. J.; Sleeman, B. D.
2005
The effects of a complexation reaction on travelling wave-fronts in a quadratic autocatalytic system. Zbl 1083.92046
Needham, D. J.; Leach, J. A.; Merkin, J. H.
2005
The effect of an electric field on reaction fronts in autocatalytic systems. Zbl 1134.35372
Merkin, J. H.
2005
The effect of a radical scavenger on the propagation of flames in an exothermic-endothermic system. Zbl 1217.80136
Simon, Peter L.; Scott, Stephen K.; Kalliadasis, Serafim; Merkin, John H.
2005
Stability of flames in an exothermic-endothermic system. Zbl 1149.80302
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2004
Electric field effects on travelling waves in the Oregonator model for the Belousov-Zhabotinsky reaction. Zbl 1060.92008
Kiss, I.; Merkin, J. H.; Scott, S. K.; Simon, P. L.
2004
The propagation and inhibition of an exothermic branched-chain flame with an endothermic reaction and radical scavenging. Zbl 1125.80008
Lazarovici, A.; Kalliadasis, S.; Merkin, J. H.; Scott, S. K.; Simon, P. L.
2004
On the structure of the spectra for a class of combustion waves. Zbl 1170.80334
Simon, Peter L.; Scott, Stephen K.; Kalliadasis, Serafim; Merkin, John H.
2004
Evans function analysis of the stability of non-adiabatic flames. Zbl 1068.80531
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2003
Combustion initiation and extinction in a 2D chaotic flow. Zbl 1032.80006
Kiss, I. Z.; Merkin, J. H.; Neufeld, Z.
2003
Inhibition of flame propagation by an endothermic reaction. Zbl 1058.80006
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2003
The structure of flame filaments in chaotic flows. Zbl 1006.80002
Kiss, I. Z.; Merkin, J. H.; Scott, S. K.; Simon, P. L.; Kalliadasis, S.; Neufeld, Z.
2003
Mixed convection along a vertical surface: Similarity solutions for uniform flow. Zbl 1064.76610
Merkin, J. H.; Pop, I.
2002
Dynamics of a vertically falling film in the presence of a first-order chemical reaction. Zbl 1185.76372
Trevelyan, Philip M. J.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2002
Quenching of flame propagation with heat loss. Zbl 1023.92049
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2002
Wave propagation in spatially distributed excitable media. Zbl 1048.92002
Yang, Jianbo; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2002
The suppression of an exothermic branched-chain flame through endothermic reaction and radical scavenging. Zbl 1013.80006
Gray, B. F.; Kalliadasis, S.; Lazarovici, A.; Macaskill, C.; Merkin, J. H.; Scott, S. K.
2002
Mass-transport enhancement in regions bounded by rigid walls. Zbl 1016.76076
Trevelyan, Philip M. J.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2002
Quenching of flame propagation through endothermic reaction. Zbl 1011.92054
Simon, Peter L.; Kalliadasis, Serafim; Merkin, John H.; Scott, Stephen K.
2002
Flame quenching through endothermic reaction. Zbl 1141.80311
Lazarovici, A.; Kalliadasis, S.; Merkin, J. H.; Scott, S. K.
2002
Chemically driven convection in porous media. Zbl 1180.76069
Pop, I.; Merkin, J. H.; Ingham, D. B.
2002
Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model. Zbl 1080.92503
Hasal, P.; Merkin, J. H.
2002
The development of spatial structure in an ionic chemical system induced by applied electric fields. Zbl 0968.35119
Merkin, John; Satnoianu, Razvan; Scott, Stephen
2000
Creation of spatial structure by an electric field applied to an ionic cubic autocatalator system. Zbl 0948.92026
Finlayson, A. B.; Merkin, J. H.
2000
The effect of an electric field on the local stoichiometry of front waves in an ionic chemical system. Zbl 0945.92029
Merkin, J. H.; Ševčíková, H.; Šnita, D.
2000
Free convection near a stagnation point in a porous medium resulting from an oscillatory wall temperature. Zbl 0979.76081
Merkin, J. H.; Pop, I.
2000
Electric field induced propagating structures in a model of spatio-temporal signalling. Zbl 0953.35064
Šnita, D.; Hasal, P.; Merkin, J. H.
2000
Analysis of the electrolyte diode. Electro-diffusion and chemical reaction within a hydrogel reactor. Zbl 1038.92050
Merkin, J. H.; Simon, P. L.; Noszticzius, Z.
2000
Forced convective structures in a differential flow reactor. Zbl 0935.35063
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K.
1999
Reaction fronts in an ionic autocatalytic system with an applied electric field. Zbl 0948.92027
Merkin, J. H.; Ševčíková, H.
1999
Travelling waves in an ionic quadratic autocatalytic chemical system. Zbl 0991.92042
Finlayson, A. B.; Merkin, J. H.
1999
Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics. Zbl 0952.76095
Satnoianu, Razvan A.; Merkin, John H.; Scott, Stephen K.
1998
The effects of an electric field on an autocatalytic ionic reaction in a system with high ionic strength. Zbl 0903.35079
Merkin, J. H.; Ševčíková, H.; Šnita, D.; Marek, M.
1998
Travelling waves in a differential flow reactor with simple autocatalytic kinetics. Zbl 0899.92038
Merkin, J. H.; Satnoianu, R. A.; Scott, S. K.
1998
Differential-flow-induced instability in a cubic autocatalator system. Zbl 0909.76035
Satnoianu, R. A.; Merkin, J. H.; Scott, S. K.
1998
Propagating reaction fronts in an ionic autocatalytic system: The effects of electric field intensity and ionic strength. Zbl 1185.92095
Nita, D.; Lindner, J.; Marek, M.; Merkin, J. H.
1998
Travelling waves in an ionic autocatalytic chemical system with an imposed electric field. Zbl 1067.92504
Snita, D.; Sevcikova, H.; Marek, M.; Merkin, M.; Merkin, J. H.
1997
A model for isothermal homogeneous-heterogeneous reactions in boundary-layer flow. Zbl 0884.76090
Merkin, J. H.
1996
Conjugate free convection on a vertical surface. Zbl 0963.76582
Merkin, J. H.; Pop, I.
1996
The propagation of travelling waves in an open cubic autocatalytic chemical system. Zbl 0872.92022
Merkin, J. H.; Sadiq, M. A.
1996
Free convection stagnation point boundary layers driven by catalytic surface reactions. II: Times to ignition. Zbl 0876.76081
Chaudhary, M. A.; Merkin, J. H.
1996
A reaction-diffusion model for autocatalytic polymerization. II: The initial value problem. Zbl 0852.92030
Needham, D. J.; King, A. C.; Merkin, J. H.
1996
Homogeneous-heterogeneous reactions in boundary layer flow: Effects of loss of reactant. Zbl 0859.76077
Chaudhary, M. A.; Merkin, J. H.
1996
Analysis of the bromate-ferroin clock reaction. Zbl 0903.92038
Merkin, J. H.; Poole, A. J.; Scott, S. K.; Smith, J. D. B.; Thompson, B. W.
1996
Error propagation in approximations to reaction-diffusion-advection equations. Zbl 1037.80503
Yannacopoulos, A. N.; Tomlin, A. S.; Brindley, J.; Merkin, J. H.; Pilling, M. J.
1996
A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I: Equal diffusivities. Zbl 1052.80505
Chaudhary, M. A.; Merkin, J. H.
1995
Similarity solutions in free convection boundary-layer flows adjacent to vertical permeable surfaces in porous media. I: Prescribed surface temperature. Zbl 0835.76100
Chaudhary, M. A.; Merkin, J. H.; Pop, I.
1995
The use of algebraic sets in the approximation of inertial manifolds and lumping in chemical kinetic systems. Zbl 0885.92039
Yannacopoulos, A. N.; Tomlin, A. S.; Brindley, J.; Merkin, J. H.; Pilling, M. J.
1995
Stable pattern and standing wave formation in a simple isothermal cubic autocatalytic reaction scheme. Zbl 0847.35064
Hill, R.; Merkin, J. H.; Needham, D. J.
1995
Conjugate free convection on a vertical surface in a saturated porous medium. Zbl 1051.76611
Pop, I.; Merkin, J. H.
1995
Free convection boundary layers driven by exothermic surface reactions: Critical ambient temperatures. Zbl 0832.92029
Chaudhary, M. A.; Liñan, A.; Merkin, J. H.
1995
A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. II: Different diffusivities for reactant and autocatalyst. Zbl 1052.80506
Chaudhary, M. A.; Merkin, J. H.
1995
The effects of coupling on pattern formation in a simple autocatalytic system. Zbl 0834.92028
Hill, R.; Merkin, J. H.
1995
The propagation of isothermal reaction-diffusion waves in coupled autocatalytic systems. Zbl 0832.92030
Merkin, J. H.; Metcalf, M. J.; Needham, D. J.; Scott, S. K.
1995
Reaction-diffusion travelling waves in the acidic nitrate-ferroin reaction. Zbl 0879.35077
Merkin, J. H.; Sadiq, M. A.
1995
Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis. Zbl 0809.92027
Metcalf, M. J.; Merkin, J. H.; Scott, S. K.
1994
Free-convection boundary layers on vertical surfaces driven by an exothermic surface reaction. Zbl 0812.76089
Merkin, J. H.; Chaudhary, M. A.
1994
Free-convection stagnation-point boundary layers driven by catalytic surface reactions. I: The steady states. Zbl 0801.76093
Chaudhary, M. A.; Merkin, J. H.
1994
Pattern formation in a coupled cubic autocatalator system. Zbl 0815.92003
Hill, R.; Merkin, J. H.
1994
A note on the similarity equations arising in free convection boundary layers with blowing and suction. Zbl 0803.76078
Merkin, J. H.
1994
Oscillations and waves in the Belousov-Zhabotinskii reaction in a finite medium. Zbl 0857.92023
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1994
Combustion in a porous material with reactant consumption: The role of the ambient temperature. Zbl 0805.34024
Sadiq, M. A.; Merkin, J. H.
1994
Multistability, oscillations and travelling waves in a product-feedback autocatalator model. II: The initiation and propagation of travelling waves. Zbl 0821.92026
Collier, S. M.; Merkin, J. H.; Scott, S. K.
1994
A reaction-diffusion model for autocatalytic polymerization. I: Permanent form travelling waves. Zbl 0812.92026
Needham, D. J.; King, A. C.; Merkin, J. H.
1994
Reaction-diffusion waves in an isothermal chemical system with general orders of autocatalysis and spatial dimension. Zbl 0779.35057
Merkin, J. H.; Needham, D. J.
1993
Coupled reaction-diffusion waves in an isothermal autocatalytic chemical system. Zbl 0780.35053
Merkin, J. H.; Needham, D. J.; Scott, S. K.
1993
The effects of blowing and suction on free convection boundary layers on vertical surfaces with prescribed heat flux. Zbl 0781.76077
Chaudhary, M. A.; Merkin, J. H.
1993
Reaction-diffusion waves in coupled isothermal autocatalytic chemical systems. Zbl 0808.35164
Metcalf, M. J.; Merkin, J. H.; Scott, S. K.
1993
Reaction-diffusion model for combustion with fuel consumption. II: Robin boundary conditions. Zbl 0786.76100
Zhang, G.; Merkin, J. H.; Scott, S. K.
1993
Two-cell coupled nonlinear chemical oscillator: Asymmetric cells. Zbl 0793.92017
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1993
The initiation and propagation of travelling waves on membrane interfaces in the Belousov-Zhabotinskii reaction. Zbl 0814.35139
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1993
The effects of geometrical spreading in two and three dimensions on the formation of travelling wavefronts in a simple, isothermal, chemical system. Zbl 0800.35052
Needham, D. J.; Merkin, J. H.
1992
Two-cell coupled cubic autocatalator: The effect of the uncatalysed reaction. Zbl 0782.92023
Leach, J. A.; Merkin, J. H.; Scott, S. K.
1992
The development of travelling waves in a simple isothermal chemical system with general orders of autocatalysis and decay. Zbl 0749.92025
Needham, D. J.; Merkin, J. H.
1991
...and 56 more Documents
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#### Cited in 124 Serials

 45 Journal of Fluid Mechanics 34 Acta Mechanica 34 Journal of Engineering Mathematics 24 European Journal of Mechanics. B. Fluids 21 Physica D 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Meccanica 18 Journal of Mathematical Chemistry 16 Physics of Fluids 16 Communications in Nonlinear Science and Numerical Simulation 15 Mathematical and Computer Modelling 15 Dynamics and Stability of Systems 13 Applied Mathematics and Computation 11 International Journal of Heat and Mass Transfer 11 Mathematical Problems in Engineering 9 International Journal of Numerical Methods for Heat & Fluid Flow 8 Fluid Dynamics 8 Applied Mathematics Letters 8 Applied Mathematical Modelling 7 Computers and Fluids 7 Journal of Differential Equations 7 Chaos 7 International Journal of Applied and Computational Mathematics 7 AMM. Applied Mathematics and Mechanics. (English Edition) 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Chaos, Solitons and Fractals 6 Journal of Applied Mechanics and Technical Physics 5 Applied Mathematics and Mechanics. (English Edition) 5 Japan Journal of Industrial and Applied Mathematics 5 Nonlinear Analysis. Real World Applications 5 Boundary Value Problems 4 Computers & Mathematics with Applications 4 International Journal of Engineering Science 4 Journal of Mathematical Analysis and Applications 4 Quarterly of Applied Mathematics 4 Archive of Applied Mechanics 4 Abstract and Applied Analysis 4 Combustion Theory and Modelling 4 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Mathematical Biology 3 Mathematical Methods in the Applied Sciences 3 Physics Letters. A 3 Physics of Fluids, A 3 SIAM Journal on Applied Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Nonlinear Dynamics 3 The ANZIAM Journal 3 Journal of Applied Mathematics 3 Acta Mechanica Sinica 3 Symmetry 2 Archive for Rational Mechanics and Analysis 2 Bulletin of Mathematical Biology 2 Journal of Computational and Applied Mathematics 2 Numerical Methods for Partial Differential Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Journal of the Egyptian Mathematical Society 2 Complexity 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Technological Sciences 2 Afrika Matematika 1 Astrophysics and Space Science 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal for Numerical Methods in Fluids 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Nonlinearity 1 Wave Motion 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Reviews in Mathematical Physics 1 Prikladnaya Matematika i Mekhanika 1 Archiv der Mathematik 1 Integral Equations and Operator Theory 1 Mechanics Research Communications 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Flow, Turbulence and Combustion 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Acta Mathematica Sinica. English Series 1 Engineering Computations 1 Journal of Biological Systems ...and 24 more Serials
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#### Cited in 27 Fields

 379 Fluid mechanics (76-XX) 167 Classical thermodynamics, heat transfer (80-XX) 165 Partial differential equations (35-XX) 92 Biology and other natural sciences (92-XX) 61 Ordinary differential equations (34-XX) 39 Numerical analysis (65-XX) 31 Dynamical systems and ergodic theory (37-XX) 14 Mechanics of deformable solids (74-XX) 9 Geophysics (86-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Operator theory (47-XX) 6 Optics, electromagnetic theory (78-XX) 5 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX)

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