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1

Modelling structural deformations in a roasting coffee bean

Fadai, Nabil T., Please, Colin P., Van Gorder, Robert A.

Journal:

International Journal of Non-Linear Mechanics

Year:

2018

Language:

english

File:

PDF, 616 KB

english, 2018

2

Analytical and numerical solutions of the density dependent Nagumo telegraph equation

Robert A. Van Gorder, K. Vajravelu

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 408 KB

english, 2010

3

Analytical solution for the unsteady MHD flow of a viscous fluid between moving parallel plates

Erik Sweet, K. Vajravelu, Robert A. Van Gorder, I. Pop

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2011

Language:

english

File:

PDF, 600 KB

english, 2011

4

Convective heat transfer in the flow of viscous Ag–water and Cu–water nanofluids over a stretching surface

K. Vajravelu, K.V. Prasad, Jinho Lee, Changhoon Lee, I. Pop, Robert A. Van Gorder

Journal:

International Journal of Thermal Sciences

Year:

2011

Language:

english

File:

PDF, 893 KB

english, 2011

5

Analytic and numerical solutions to the Lane–Emden equation

Robert A. Van Gorder, K. Vajravelu

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 516 KB

english, 2008

6

A heat and mass transfer study of coffee bean roasting

Fadai, Nabil T., Melrose, John, Please, Colin P., Schulman, Alexandra, Van Gorder, Robert A.

Journal:

International Journal of Heat and Mass Transfer

Year:

2017

Language:

english

File:

PDF, 2.08 MB

english, 2017

7

The influence of distributed chemical reaction groups in a multiphase coffee bean roasting model

Fadai, Nabil T, Akram, Zahra, Guilmineau, Fabien, Melrose, John, Please, Colin P, Van Gorder, Robert A

Journal:

IMA Journal of Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 2.55 MB

english, 2018

8

Wave propagation across interfaces induced by different interaction exponents in ordered and disordered Hertz-like granular chains

Kekić, Armin, Van Gorder, Robert A.

Journal:

Physica D: Nonlinear Phenomena

Year:

2018

Language:

english

File:

PDF, 1.13 MB

english, 2018

9

Maxwell-type models for the effective thermal conductivity of a porous material with radiative transfer in the voids

Kiradjiev, Kristian B., Halvorsen, Svenn Anton, Van Gorder, Robert A., Howison, Sam D.

Journal:

International Journal of Thermal Sciences

Year:

2019

Language:

english

File:

PDF, 1.47 MB

english, 2019

10

A variational formulation of the Nagumo reaction–diffusion equation and the Nagumo telegraph equation

Robert A. Van Gorder, K. Vajravelu

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 263 KB

english, 2010

11

On the selection of auxiliary functions, operators, and convergence control parameters in the application of the Homotopy Analysis Method to nonlinear differential equations: A general approach

Robert A. Van Gorder, K. Vajravelu

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2009

Language:

english

File:

PDF, 226 KB

english, 2009

12

Exact solutions to the modified 2D Burgers vortex equation: a general result for the unsteady case

Robert A. Van Gorder

Journal:

Year:

2011

Language:

english

File:

PDF, 158 KB

english, 2011

13

Dynamics of the Rayleigh–Plesset equation modelling a gas-filled bubble immersed in an incompressible fluid

Van Gorder, Robert A.

Journal:

Journal of Fluid Mechanics

Year:

2016

Language:

english

File:

PDF, 1.96 MB

english, 2016

14

Solutions to Forced and Unforced Lin–Reissner–Tsien Equations for Transonic Gas Flows on Various Length Scales

Theaker, Kyle A., Van Gorder, Robert A.

Journal:

Communications in Theoretical Physics

Year:

2017

Language:

english

File:

PDF, 613 KB

english, 2017

15

Asymptotic Analysis of a Multiphase Drying Model Motivated By Coffee Bean Roasting

Fadai, Nabil T., Please, Colin P., Van Gorder, Robert A.

Journal:

SIAM Journal on Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 634 KB

english, 2018

16

Asymptotic Analysis of a Silicon Furnace Model

Sloman, Benjamin M., Please, Colin P., Van Gorder, Robert A.

Journal:

SIAM Journal on Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.63 MB

english, 2018

17

A Homogenization Approach for the Roasting of an Array of Coffee Beans

Sachak-Patwa, Rahil, Fadai, Nabil, Van Gorder, Robert A.

Journal:

SIAM Journal on Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 1.97 MB

english, 2019

18

Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner–Skan flow

Robert A. Van Gorder, K. Vajravelu

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2010

Language:

english

File:

PDF, 194 KB

english, 2010

19

An elegant perturbation solution for the Lane–Emden equation of the second kind

Robert A. Van Gorder

Journal:

Year:

2011

Language:

english

File:

PDF, 173 KB

english, 2011

20

Existence and uniqueness results for a nonlinear differential equation arising in stagnation point flow in a porous medium

Robert A. Van Gorder, Kuppalapalle Vajravelu

Journal:

Year:

2010

Language:

english

File:

PDF, 156 KB

english, 2010

21

Non-Darcian flow and heat transfer along a permeable vertical surface with nonlinear density temperature variation

K. V. Prasad, K. Vajravelu, Robert A. van Gorder

Journal:

Year:

2011

Language:

english

File:

PDF, 801 KB

english, 2011

22

Free Convection Boundary Layer Flow Past a Vertical Surface in a Porous Medium with Temperature-Dependent Properties

K. Vajravelu, K. V. Prasad, Robert A. Van Gorder, Jinho Lee

Journal:

Transport in Porous Media

Year:

2011

Language:

english

File:

PDF, 548 KB

english, 2011

23

Erratum to: Existence and uniqueness results for a nonlinear differential equation arising in stagnation point flow in a porous medium

Robert A. Van Gorder, Kuppalapalle Vajravelu

Journal:

Year:

2012

Language:

english

File:

PDF, 84 KB

english, 2012

24

Analytical method for the construction of solutions to the Föppl–von Kármán equations governing deflections of a thin flat plate

Robert A. Van Gorder

Journal:

International Journal of Non-Linear Mechanics

Year:

2012

Language:

english

File:

PDF, 513 KB

english, 2012

25

Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces

F. Talay Akyildiz, Hamid Bellout, Kuppalapalle Vajravelu, Robert A. Van Gorder

Journal:

Nonlinear Analysis: Real World Applications

Year:

2011

Language:

english

File:

PDF, 332 KB

english, 2011

26

Corrigendum to “Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner-Skan flow” [Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 2272–2277]

Robert A. Van Gorder, K. Vajravelu

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2012

Language:

english

File:

PDF, 143 KB

english, 2012

27

Rare exact solution to a model of two-phase flow consisting of a nanofluid adjacent to a clear fluid

Van Gorder, Robert A.

Journal:

International Journal of Heat and Mass Transfer

Year:

2013

Language:

english

File:

PDF, 551 KB

english, 2013

28

Flow and heat transfer in a moving fluid over a moving non-isothermal surface

Mukhopadhyay, Swati, Vajravelu, Kuppalapalle, Van Gorder, Robert A.

Journal:

International Journal of Heat and Mass Transfer

Year:

2012

Language:

english

File:

PDF, 541 KB

english, 2012

29

Exact and analytical solutions for a nonlinear sigma model

Baxter, Mathew, Van Gorder, Robert A.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2014

Language:

english

File:

PDF, 522 KB

english, 2014

30

A Multicomplex Riemann Zeta Function

Frederick Lyall Reid, Robert A. Van Gorder

Journal:

Advances in Applied Clifford Algebras

Year:

2013

Language:

english

File:

PDF, 311 KB

english, 2013

31

Chemically reactive solute transfer in a moving fluid over a moving surface

Swati Mukhopadhyay, Kuppalapalle Vajravelu, Robert A. Van Gorder

Journal:

Year:

2013

Language:

english

File:

PDF, 396 KB

english, 2013

32

Effect of resource subsidies on predator–prey population dynamics: a mathematical model

Nevai, Andrew L., Van Gorder, Robert A.

Journal:

Journal of Biological Dynamics

Year:

2012

Language:

english

File:

PDF, 516 KB

english, 2012

33

Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists

Snyder, Brooke C., Van Gorder, Robert A., Vajravelu, K.

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 448 KB

english, 2013

34

The Cauchy problem for complex fuzzy differential equations

Karpenko, Daria, Van Gorder, Robert A., Kandel, Abraham

Journal:

Fuzzy Sets and Systems

Year:

2014

Language:

english

File:

PDF, 298 KB

english, 2014

35

The generalized lucky ticket problem, perfect matchings, and closure relations satisfied by the Chebyshev and\(q\)-Hermite polynomials

Brennan, Joseph P., Van Gorder, Robert A.

Journal:

The Ramanujan Journal

Year:

2015

Language:

english

File:

PDF, 267 KB

english, 2015

36

Does the Riemann zeta function satisfy a differential equation?

Van Gorder, Robert A.

Journal:

Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 194 KB

english, 2015

37

GLAISHER-TYPE PRODUCTS OVER THE PRIMES

VAN GORDER, ROBERT A.

Journal:

International Journal of Number Theory

Year:

2012

Language:

english

File:

PDF, 133 KB

english, 2012

38

General exact solutions for linear and nonlinear waves in a Thirring model

Van Gorder, Robert A.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2015

Language:

english

File:

PDF, 903 KB

english, 2015

39

Helical vortex filament motion under the non-local Biot–Savart model

Van Gorder, Robert A.

Journal:

Journal of Fluid Mechanics

Year:

2015

Language:

english

File:

PDF, 487 KB

english, 2015

40

Exact and Approximate Solutions for Nonlinear PDEs

Hong, Baojian, Lu, Dianchen, Khalique, Chaudry Masood, Salas, Alvaro H., Van Gorder, Robert A.

Journal:

Abstract and Applied Analysis

Year:

2014

Language:

english

File:

PDF, 74 KB

english, 2014

41

Solidification of silicon in a one-dimensional slab and a two-dimensional wedge

Benham, Graham P., Hildal, Kjetil, Please, Colin P., Van Gorder, Robert A.

Journal:

International Journal of Heat and Mass Transfer

Year:

2016

Language:

english

File:

PDF, 2.14 MB

english, 2016

42

The Biot–Savart description of Kelvin waves on a quantum vortex filament in the presence of mutual friction and a driving fluid

Van Gorder, Robert A.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2015

Language:

english

File:

PDF, 462 KB

english, 2015

43

Self-similar vortex filament motion under the non-local Biot–Savart model

Van Gorder, Robert A.

Journal:

Journal of Fluid Mechanics

Year:

2016

Language:

english

File:

PDF, 608 KB

english, 2016

44

Zero curvature representation, bi-Hamiltonian structure, and an integrable hierarchy for the Zakharov-Ito system

Baxter, Mathew, Choudhury, S. Roy, Van Gorder, Robert A.

Journal:

Journal of Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 462 KB

english, 2015

45

Multicomplex Wave Functions for Linear And Nonlinear Schrödinger Equations

Kyle A. Theaker,Robert A. Van Gorder

Journal:

Advances in Applied Clifford Algebras

Year:

2017

Language:

english

File:

PDF, 634 KB

english, 2017

46

A Heat and Mass Transfer Model of a Silicon Pilot Furnace

Sloman, Benjamin M., Please, Colin P., Van Gorder, Robert A., Valderhaug, Aasgeir M., Birkeland, Rolf G., Wegge, Harald

Journal:

Metallurgical and Materials Transactions B

Year:

2017

Language:

english

File:

PDF, 1.42 MB

english, 2017

47

Influence of boiler size and location on one-dimensional two-phase vertical pipe flow

Kleanthous, Antigoni, Van Gorder, Robert A.

Journal:

International Journal of Thermal Sciences

Year:

2017

Language:

english

File:

PDF, 658 KB

english, 2017

48

Motion of open vortex-current filaments under the Biot–Savart model

Kennedy, Daniel T., Van Gorder, Robert A.

Journal:

Journal of Fluid Mechanics

Year:

2018

Language:

english

File:

PDF, 893 KB

english, 2018

49

Instability in the self-similar motion of a planar solidification front

Brosa Planella, Ferran, Please, Colin P, Van Gorder, Robert A

Journal:

IMA Journal of Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.06 MB

english, 2018

50

Opinion formation and distribution in a bounded-confidence model on various networks

Meng, X. Flora, Van Gorder, Robert A., Porter, Mason A.

Journal:

Physical Review E

Year:

2018

Language:

english

File:

PDF, 1.92 MB

english, 2018

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