Dr Matthias Winter

Dr Matthias Winter Senior Lecturer
Room: John Crank 502
Brunel University
Uxbridge
UB8 3PH
United Kingdom
Tel: +44 (0)1895 267179
Fax: +44 (0)1895 269732
Email: matthias.winter@brunel.ac.uk
Web: Personal Website
Web: ResearcherID Profile
Web: Google Scholar Profile

University Research Centre Membership

Research Group Membership

Publications

Journal Papers

(2012) Wei, J. and Winter, M., Flow-distributed spikes for Schnakenberg kinetics, Journal of Mathematical Biology 64 (1-2) : 211- 254 Download publication

(2011) Hussaini, N., Winter, M. and Gumel, AB., Qualitative assessment of the role of public health education program on HIV transmission dynamics, Mathematical Medicine and Biology 28 (3) : 245- 270

(2010) Wei, J. and Winter, M., Stability of spiky solutions in a reaction-diffusion system with four morphogens on the real line, SIAM Journal on Mathematical Analysis 42 (6) : 2818- 2841 Download publication

(2010) Hussaini, N. and Winter, M., Travelling waves for an epidemic model with non-smooth treatment rates, Journal of Statistical Mechanics: Theory and Experiment 2010P11019 Download publication

(2010) Tse, WH., Wei, J. and Winter, M., The Gierer–Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green's function, Journal de Mathématiques Pures et Appliqués 94 (4) : 366- 397 Download publication

(2009) Kolokolnikov, T., Wei, JC. and Winter, M., Existence and stability analysis of spiky solutions for the Gierer-Meinhardt system with large reaction rates, Physica D: Nonlinear Phenomena 238 (16) : 1695- 1710 Download publication

(2009) Wei, JC. and Winter, M., On the Gierer-Meinhardt system with precursors, Discrete and Continuous Dynamical Systems (DCDS-A) 25 (1) : 363- 398 Download publication

(2009) Wei, JC. and Winter, M., Spikes for the Gierer-Meinhardt system with discontinuous diffusion coefficients, Journal of Nonlinear Science 19 (3) : 301- 339 Download publication

(2009) Wei, J. and Winter, M., Strongly interacting bumps for the Schrödinger-Newton equations, Journal of Mathematical Physics 50 (1) : 012905 Download publication

(2008) Wei, J. and Winter, M., Mutually exclusive spiky pattern and segmentation modeled by the five-component Meinhardt-Gierer system, SIAM Journal of Applied Mathematics 69 (2) : 419- 452 Download publication

(2008) Winter, M., Wei, J. and Tse, W., Spikes for the Gierer-Meinhardt system with many segments of different diffusivities, Bulletin of the Institute of Mathematics Academia Sinica (New Series) 3 (4) : 525- 566 Download publication

(2008) Wei, J. and Winter, M., Stationary multiple spots for reaction-diffusion systems, Journal of Mathematical Biology 57 (1) : 53- 89 Download publication

(2007) Wei, J. and Winter, M., Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in R¹, Methods and Applications of Analysis 14 (2) : 119- 164 Download publication

(2007) Norbury, J., Wei, J. and Winter, M., Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field, European Journal of Applied Mathematics 18 (2) : 129- 151 Download publication

(2007) Maini, PK., Wei, J. and Winter, M., Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions, Chaos: An Interdisciplinary Journal of Nonlinear Science 17 (3) : 037106 Download publication

(2007) Wei, J. and Winter, M., Symmetric and asymmetric multiple clusters in a reaction-diffusion system, NoDEA : Nonlinear Differential Equations and Applications 14 (5-6) : 787- 823 Download publication

(2006) Wei, J. and Winter, M., Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry, Mathematische Zeitschrift 254 (2) : 359- 383 Download publication

(2005) Wei, J., Winter, M. and Yeung, WK., A higher-order energy expansion to two-dimensional singularity perturbed Neumann problems, Asymptotic Analysis 43 (1-2) : 75- 110 Download publication

(2005) Wei, J. and Winter, M., Clustered spots in the FitzHugh-Nagumo system, Journal of Differential Equations 213 (1) : 121- 145 Download publication

(2005) Wei, J. and Winter, M., Symmetry of nodal solutions for singularly perturbed elliptic problems on a ball, Indiana University Mathematics Journal 54 (3) : 707- 742 Download publication

(2004) Wei, J. and Winter, M., Existence and stability analysis of asymmetric patterns for the Gierer-Meinhardt system, Journal de Mathématiques Pures et Appliquées 83 (4) : 433- 476 Download publication

(2004) Wei, J. and Winter, M., Higher-order energy expansions and spike locations, Calculus of Variations and Partial Differential Equations 20 (4) : 403- 430 Download publication

(2004) Wei, J. and Winter, M., On the Gierer-Meinhardt system with saturation, Communications in Contemporary Mathematics 6 (2) : 259- 277 Download publication

(2004) Winter, M., Wei, J. and Iron, D., Stability analysis of Turing patterns generated by the Schnakenberg model, Journal of Mathematical Biology 49 (4) : 358- 390 Download publication

(2003) Wei, J. and Winter, M., Existence and stability of multiple-spot solutions for the Gray–Scott model in R², Physica D: Nonlinear Phenomena 176 (3-4) : 147- 180 Download publication

(2003) Wei, J. and Winter, M., 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) : 1529- 1543 Download publication

(2003) Wei, J. and Winter, M., Asymmetric spotty patterns for the Gray-Scott model in R2, Studies in Applied Mathematics 110 (1) : 63- 102 Download publication

(2003) Wei, J. and Winter, M., Higher order energy expansions for some singularly perturbed Neumann problems, Comptes Rendus Mathematique 337 (1) : 37- 42 Download publication

(2003) Wei, J. and Winter, M., Stability of monotone solutions for the shadow Gierer-Meinhardt system with finite diffusivity, Differential Integral Equations 16 (10) : 1153- 1180 Download publication

(2002) Wei, J. and Winter, M., Critical threshold and stability of cluster solutions for large reaction-diffusion systems in R, SIAM Journal on Mathematical Analysis 33 (5) : 1058- 1089 Download publication

(2002) Norbury, J., Wei, J. and Winter, M., Existence and stability of singular patterns in a Ginzburg–Landau equation coupled with a mean field, Nonlinearity 15 (6) : 2077- 2096 Download publication

(2002) Ball, JM., Taheri, A. and Winter, M., Local minimizers in micromagnetics and related problems, Calculus of Variations and Partial Differential Equations 14 (1) : 1- 27 Download publication

(2002) Wei, J. and Winter, M., Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case, Journal of Differential Equations 178 (2) : 478- 518 Download publication

(2001) Wei, J. and Winter, M., On a hypercycle system with nonlinear rate, Methods and Applications of Analysis 8 (2) : 257- 278 Download publication

(2001) Wei, J. and Winter, M., Solutions for the Cahn-Hilliard equation with many boundary spike layers, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 131 (1) : 185- 204 Download publication

(2001) Wei, J. and Winter, M., Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case, Journal of Nonlinear Science 11 (6) : 415- 458 Download publication

(2000) Wei, J. and Winter, M., Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks, Calculus of Variations and Partial Differential Equations 10 (3) : 249- 289 Download publication

(2000) Gui, C., Wei, J. and Winter, M., Multiple boundary peak solutions for some singularly perturbed Neumann problems, Annales de l'Institut Henri Poincare (C) Non Linear Analysis 17 (1) : 47- 82 Download publication

(2000) Wei, J. and Winter, M., On a two dimensional reaction-diffusion system with hypercyclical structure, Nonlinearity 13 (6) : 2005- 2032 Download publication

(1999) Wei, J. and Winter, M., Multi-peak solutions for a wide class of singular perturbation problems, Journal of London Mathematical Society 59 (2) : 585- 606 Download publication

(1999) Wei, J. and Winter, M., On the two dimensional Gierer-Meinhardt system with strong coupling, SIAM Journal on Mathematical Analysis 30 (6) : 1241- 1263 Download publication

(1998) Wei, J. and Winter, M., On the stationary Cahn-Hilliard equation: bubble solutions, SIAM Journal on Mathematical Analysis 29 (6) : 1492- 1518 Download publication

(1998) Wei, J. and Winter, M., On the stationary Cahn-Hilliard equation: interior spike solutions, Journal of Differential Equations 148 (2) : 231- 267 Download publication

(1998) Wei, J. and Winter, M., Stationary solutions for the Cahn-Hilliard equation, Annales de l'Institut Henri Poincare (C) Non Linear Analysis 15 (4) : 459- 492 Download publication

(1997) Ren, X. and Winter, M., Young measures in a nonlocal phase transition problem, Proceedings of the Royal Society of Edinburgh Section A Mathematics 127 (3) : 615- 637 Download publication

(1996) Winter, M., Lavrentiev phenomenon in microstructure theory, Electronic Journal of Differential Equations 6 1- 12 Download publication

(1995) Winter, M., 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) : 147- 168

(1995) Winter, M., 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) : 1- 25

Conference Papers

(2011) Winter, M. and Wei, J., Spiky patterns in a tritrophic food chain model, International Workshop on Modeling and Analysis of PDE Systems of Biological Processes

(2011) Winter, M. and Wei, J., Cluster solutions in a tritrophic food chain model, The Croucher Foundation, Advanced Study Institute

(2009) Winter, M. and Wei, J., Spikes for the Gierer-Meinhardt system with variable coefficients, 26th Kyushu Symposium on Partial Differential Equations

(2008) Winter, M. and Wei, J., Gierer-Meinhardt system with variable coefficients, Seventh International Conference on Dynamical Systems, Differential Equations and Applications, American Institute of Mathematical Sciences (AIMS)

(2003) Wei, J. and Winter, M., Existence and stability of multiple spot solutions for the Gray-Scott model in R², International Conference on Differential Equations (EQUADIFF 2003), Proceedings of the International Conference on Differential Equations 813- 818 Download publication

(2007) Winter, M. and Wei, J., Spikes for biological systems: the role of boundary conditions, CMS-MITACS Joint Conference

(2007) Winter, M. and Wei, J., The role of boundary conditions for the existence and stability of spikes for the Gierer-Meinhardt system, IMS Workshop on PDEs

(2006) Winter, M. and Wei, J., Mutually exclusive spikes for a five-component system of Meinhardt and Gierer, MAFELAP Conference

(2006) Winter, M. and Wei, J., Mutually exclusive spikes for a five-component system of Meinhardt and Gierer, 6th International AIMS Conference on Dynamical Systems, Differential Equations and Applications

(2005) Wei, J. and Winter, M., On a cubic-quintic Ginzburg-Landau equation with global coupling, , Proceedings of the American Mathematical Society (133) : 1787- 1796 Download publication

(2005) Winter, M. and Wei, J., Spikes for the Gierer-Meinhardt system - analysis and numerical simulation, Joint DMV-AMS-OMG Conference

(2005) Winter, M. and Wei, J., Spikes for the Gierer-Meinhardt system - analysis and numerical simulation, Oberwolfach Workshop on Topological and Variational Methods for Differential Equations

(2005) Winter, M. and Wei, J., Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry, Topological and Variational Methods in PDE, CIMAT

(2003) Winter, M. and Wei, J., Concentrated solutions for the one- and two-dimensional Gierer-Meinhardt system, International Congress on Industrial and Applied Mathematics (ICIAM)

(2003) Winter, M. and Wei, J., 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)

(2003) Winter, M. and Wei, J., Higher order energy expansions for some singularly perturbed Neumann problems, International Congress on Industrial and Applied Mathematics (ICIAM)

(2003) Winter, M. and Wei, J., Multiple spikes in biological systems, Multiscale Systems and Applications Workshop

(2003) Winter, M. and Wei, J., On the shadow Gierer-Meinhardt System with finite epsilon, International Congress on Industrial and Applied Mathematics (ICIAM)

(2001) Winter, M. and Wei, J., Concentrated solutions for the two-dimensional Gierer-Meinhardt systems, Nonlinear Partial Differential Equations Program, PIMS

Page last updated: Thursday 10 July 2014