Dr Matthias Winter
Senior Lecturer
Wei, J. and Winter, M. (2005) 'On a cubic-quintic Ginzburg-Landau equation with global coupling'. Proceedings of the American Mathematical Society, 133. pp. 1787 - 1796. ISSN: 0002-9939 Open Access Link
Winter, M., Wei, J. and Iron, D. (2004) 'Stability analysis of Turing patterns generated by the Schnakenberg model'. Journal of Mathematical Biology, 49 (4). pp. 358 - 390. ISSN: 0303-6812 Open Access Link
Wei, J. and Winter, M. (2004) 'Higher-order energy expansions and spike locations'. Calculus of Variations and Partial Differential Equations, 20 (4). pp. 403 - 430. ISSN: 0944-2669 Open Access Link
Wei, J. and Winter, M. (2004) 'On the Gierer-Meinhardt system with saturation'. Communications in Contemporary Mathematics, 6 (2). pp. 259 - 277. ISSN: 0219-1997 Open Access Link
Wei, J. and Winter, M. (2004) 'Existence and stability analysis of asymmetric patterns for the Gierer-Meinhardt system'. Journal de Mathématiques Pures et Appliquées, 83 (4). pp. 433 - 476. ISSN: 0021-7824 Open Access Link
Wei, J. and Winter, M. (2003) 'Existence and stability of multiple spot solutions for the Gray-Scott model in R²'.International Conference on Differential Equations (EQUADIFF 2003). Hasselt, Belgium. 22 - 26 July. WORLD SCIENTIFIC. pp. 813 - 818.Open Access Link
Wei, J. and Winter, M. (2003) 'Existence and stability of multiple-spot solutions for the Gray–Scott model in R²'. Physica D: Nonlinear Phenomena, 176 (3-4). pp. 147 - 180. ISSN: 0167-2789 Open Access Link
Wei, J. and Winter, M. (2003) 'Higher order energy expansions for some singularly perturbed Neumann problems'. Comptes Rendus Mathematique, 337 (1). pp. 37 - 42. ISSN: 0764-4442 Open Access Link
Winter, M. and Wei, J. (2003) 'Concentrated solutions for the one- and two-dimensional Gierer-Meinhardt system'.International Congress on Industrial and Applied Mathematics (ICIAM). Sydney, Australia. [unpublished]
Winter, M. and Wei, J. (2003) 'On the shadow Gierer-Meinhardt System with finite epsilon'.International Congress on Industrial and Applied Mathematics (ICIAM). Sydney, Australia. [unpublished]
Winter, M. and Wei, J. (2003) 'Higher order energy expansions for some singularly perturbed Neumann problems'.International Congress on Industrial and Applied Mathematics (ICIAM). Sydney, Australia. [unpublished]
Winter, M. and Wei, J. (2003) 'Existence and stability of multiple spotty patterns for the Gray-Scott system in a two-dimensional domain'.International Congress on Industrial and Applied Mathematics (ICIAM). Sydney, Australia. [unpublished]
Winter, M. and Wei, J. (2003) 'Multiple spikes in biological systems'.Multiscale Systems and Applications Workshop. Weierstrass Institute, Berlin. [unpublished]
Wei, J. and Winter, M. (2003) 'A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates'. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 13 (6). pp. 1529 - 1543. ISSN: 0218-1274 Open Access Link
Wei, J. and Winter, M. (2003) 'Asymmetric spotty patterns for the Gray-Scott model in R2'. Studies in Applied Mathematics, 110 (1). pp. 63 - 102. ISSN: 0022-2526 Open Access Link
Wei, J. and Winter, M. (2003) 'Stability of monotone solutions for the shadow Gierer-Meinhardt system with finite diffusivity'. Differential Integral Equations, 16 (10). pp. 1153 - 1180. ISSN: 0893-4983 Open Access Link
Ball, JM., Taheri, A. and Winter, M. (2002) 'Local minimizers in micromagnetics and related problems'. Calculus of Variations and Partial Differential Equations, 14 (1). pp. 1 - 27. ISSN: 0944-2669 Open Access Link
Wei, J. and Winter, M. (2002) 'Critical threshold and stability of cluster solutions for large reaction-diffusion systems in R'. SIAM Journal on Mathematical Analysis, 33 (5). pp. 1058 - 1089. ISSN: 1095-7154 Open Access Link
Norbury, J., Wei, J. and Winter, M. (2002) 'Existence and stability of singular patterns in a Ginzburg–Landau equation coupled with a mean field'. Nonlinearity, 15 (6). pp. 2077 - 2096. ISSN: 0951-7715 Open Access Link
Wei, J. and Winter, M. (2002) 'Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case'. Journal of Differential Equations, 178 (2). pp. 478 - 518. ISSN: 0022-0396 Open Access Link
Wei, J. and Winter, M. (2001) 'Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case'. Journal of Nonlinear Science, 11 (6). pp. 415 - 458. ISSN: 0938-8974 Open Access Link
Wei, J. and Winter, M. (2001) 'On a hypercycle system with nonlinear rate'. Methods and Applications of Analysis, 8 (2). pp. 257 - 278. ISSN: 1073-2772 Open Access Link
Wei, J. and Winter, M. (2001) 'Solutions for the Cahn-Hilliard equation with many boundary spike layers'. Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 131 (1). pp. 185 - 204. ISSN: 0308-2105 Open Access Link
Winter, M. and Wei, J. (2001) 'Concentrated solutions for the two-dimensional Gierer-Meinhardt systems'.Nonlinear Partial Differential Equations Program, PIMS. University of British Columbia, Vancouver, Canada. [unpublished]
Gui, C., Wei, J. and Winter, M. (2000) 'Multiple boundary peak solutions for some singularly perturbed Neumann problems'. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 17 (1). pp. 47 - 82. ISSN: 0294-1449 Open Access Link
Wei, J. and Winter, M. (2000) 'Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks'. Calculus of Variations and Partial Differential Equations, 10 (3). pp. 249 - 289. ISSN: 0944-2669 Open Access Link
Wei, J. and Winter, M. (2000) 'On a two dimensional reaction-diffusion system with hypercyclical structure'. Nonlinearity, 13 (6). pp. 2005 - 2032. ISSN: 0951-7715 Open Access Link
Wei, J. and Winter, M. (1999) 'Multi-peak solutions for a wide class of singular perturbation problems'. Journal of London Mathematical Society, 59 (2). pp. 585 - 606. ISSN: 0024-6107 Open Access Link
Wei, J. and Winter, M. (1999) 'On the two dimensional Gierer-Meinhardt system with strong coupling'. SIAM Journal on Mathematical Analysis, 30 (6). pp. 1241 - 1263. ISSN: 0036-1410 Open Access Link
Wei, J. and Winter, M. (1998) 'Stationary solutions for the Cahn-Hilliard equation'. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 15 (4). pp. 459 - 492. ISSN: 0294-1449 Open Access Link
Wei, J. and Winter, M. (1998) 'On the stationary Cahn-Hilliard equation: interior spike solutions'. Journal of Differential Equations, 148 (2). pp. 231 - 267. ISSN: 0022-0396 Open Access Link
Wei, J. and Winter, M. (1998) 'On the stationary Cahn-Hilliard equation: bubble solutions'. SIAM Journal on Mathematical Analysis, 29 (6). pp. 1492 - 1518. ISSN: 0036-1410 Open Access Link
Ren, X. and Winter, M. (1997) 'Young measures in a nonlocal phase transition problem'. Proceedings of the Royal Society of Edinburgh Section A Mathematics, 127 (3). pp. 615 - 637. ISSN: 0308-2105 Open Access Link
Winter, M. (1996) 'Lavrentiev phenomenon in microstructure theory'. Electronic Journal of Differential Equations, 6. pp. 1 - 12. ISSN: 1072-6691 Open Access Link
Winter, M. (1995) 'Asymptotic characterization of standing waves and of the static limit for a class of wave equations of higher order with a variable coefficient and time-independent incitation'. Mathematical Methods in the Applied Sciences, 18 (2). pp. 147 - 168. ISSN: 0170-4214
Winter, M. (1995) 'Large time asymptotics for a class of wave equations of higher order with a variable coefficient and time-independent incitation'. Mathematical Methods in the Applied Sciences, 18 (1). pp. 1 - 25. ISSN: 0170-4214