Digest of the Non Linear Science Network, Volume 05, Number 17 September 15, 2005 Editor: Angel Jorba Topics: Two faculty positions at Laurier University, Canada Faculty positions at the University of Texas at Arlington, USA Faculty Position at the University of Reading, UK 2 chair positions, Maxwell Inst for Math Sciences, Edinburgh, UK Chair & lecturer positions, Heriot-Watt Univ, Edinburgh, UK Lectureship in Mathematics, University of Strathclyde, UK Research Assistantships: M.S. and Ph.D. Postdoctoral Position at Cardiff University, UK Postdoctoral position at CEMAGREF, France Contents, Discrete and Continuous Dynamical Systems - A 14:1 Contents, Nonlinearity 18:5 Submissions to nls-net must be addressed to: Comments and suggestions are also welcome. General information about nls-net can be found at: http://www.maia.ub.es/cgi-bin/mailman/listinfo/nls-net/ This is a service created and maintained in collaboration with the American Institute of Mathematical Sciences (AIMS) http://www.aimsciences.org/ ------ Subject: Two faculty positions at Laurier University, Canada From: Roderick Melnik Date: Wed, 07 Sep 2005 19:50:06 -0500 Two Tenure-Track Faculty Positions, Wilfrid Laurier University, Waterloo, Canada The areas of particular interest for the first position include mathematical modelling and mathematical physics. The priority research area for the second position is stochastic analysis to support the department programs in financial and applied mathematics. The positions are at the rank of Assistant Professor to begin July 1, 2006 (for the second position the appointment may be at a higher rank). Deadline for applications is October 1, 2005, but applications received after this date may be considered until all positions are filled. To apply, please see at http://www.mmcs.wlu.ca and follow exactly the procedure underlined there. ------ Subject: Faculty positions at the University of Texas at Arlington, USA From: Jianping Zhu Date: Sun, 28 Aug 2005 12:39:32 -0500 The Department of Mathematics at The University of Texas at Arlington invites applications for two tenure-track assistant professor positions beginning September 1, 2006 subject to available funding. Tenured appointments at the rank of Associate or Full Professor may be considered for exceptional candidates. The salary will be competitive and commensurate with qualifications and experience. The minimum qualifications are an earned Ph.D. in mathematics, mathematics education, or a related field. At least two years of experience beyond the Ph.D. is preferable. Demonstrated excellence in research, external funding, and teaching is essential. While outstanding applicants from all mathematical research areas will be considered, preference will be given to those with significant research and scholarly accomplishments in mathematics education, operations research, numerical/computational methods, bio-mathematics, statistics/bio-statistics and other areas of applied mathematics. There is particular interest for candidates in mathematics education who will teach courses, supervise theses, and conduct research in the department's fast-growing Master of Arts in Mathematics program for secondary teachers. UT-Arlington is one of the six public Carnegie Doctoral/Research University- Extensive institutions in Texas. It has an enrollment of over 25,000 students and is part of The University of Texas System. The department offers undergraduate and graduate training. Master's degree programs allow specialization in pure or applied mathematics, statistics, computer science, operations research or mathematics education. The department offers doctoral degree programs in Mathematics (algebra, applied mathematics, game theory, geometry, numerical analysis) and Statistics and allows for interdisciplinary interactions with related science and engineering programs. As part of the university's College of Science, the department actively encourages interdisciplinary research efforts at the interface between mathematics, statistics, science, engineering and local industries. For more details, visit the Department's web page at http://www.uta.edu/math. Applicants should send a letter of application plus a complete curriculum vitae,statement on research interests, statement of teaching philosophy, one or two representative publications, and an AMS cover sheet to: Dr. James A. M. Epperson Chair, Faculty Recruiting Committee Department of Mathematics The University of Texas at Arlington Box 19408 Arlington, TX 76019-0408. Applicants should arrange to have at least three letters of recommendation sent to the above address. Inquiries about the position may be directed to Dr. Epperson, Faculty Recruiting Committee Chair, at mathsearch@uta.edu. Review of applications will begin on December 5, 2005, and will continue until the positions are filled. UTA is an Equal Opportunity and Affirmative Action employer. ------ Subject: Faculty Position at the University of Reading, UK From: Simon Chandler-Wilde Date: Thu, 08 Sep 2005 09:09:44 +0100 LECTURER IN APPLIED MATHEMATICS/NUMERICAL ANALYSIS DEPARTMENT OF MATHEMATICS UNIVERSITY OF READING, UK We are seeking an outstanding candidate to take up a Lectureship in Applied Mathematics/Numerical Analysis, available from 1st January 2006. The post has a particular emphasis on research in the early years, with correspondingly reduced teaching and administrative duties. Applied Mathematics at Reading has an excellent research record in the mathematics of waves, numerical analysis, reaction-diffusion theory, computational and theoretical fluid dynamics, applied analysis and data assimilation. It achieved a grade 5 in the last Research Assessment Exercise. It has strong research links with the grade 5* Department of Meteorology (within the new School of Mathematics, Meteorology and Physics) together with the Met Office and several industrial partners. Candidates for the Lectureship should have a growing research reputation in an area of applied mathematics related to one or more of the current research activities of the Department. The successful candidate will be expected to make a significant contribution to the department's research output, to supervise postgraduate students and postdocs, and to undertake teaching and administrative duties, with a reduced (50%) teaching and administrative load until October 2008. Informal enquiries may be made to Professor Simon Chandler-Wilde (http://www.rdg.ac.uk/~sms03snc). Application forms and further particulars are available online at www.reading.ac.uk/Jobs (Vacancy reference AC0537) or from the Personnel Office, The University of Reading, Whiteknights, PO Box 217, Reading, RG6 6AH, telephone 0118 378 6771 (voicemail). Closing date for applications: 7 October 2005 Appointment on the Lecturer B scale: GBP27,989 to GBP35,883 per annum (pay award pending). ------ Subject: 2 chair positions, Maxwell Inst for Math Sciences, Edinburgh, UK From: Dugald Duncan Date: Thu, 08 Sep 2005 15:49:13 +0100 Two Chairs in the Mathematical Sciences at the Maxwell Institute for Mathematical Sciences, Edinburgh, UK. A research partnership between Edinburgh and Heriot-Watt Universities. Applications are invited for two chairs (full professorships), one to be held in the School of Mathematics at the University of Edinburgh, the other to be held in the School of Mathematical and Computer Sciences at Heriot-Watt University. The positions are available at a mutually agreed date after 1 January 2006. Two further positions at the level of lecturer or reader will be advertised by early 2006. The chairs are open to individuals with outstanding research records in any area of the mathematical sciences. Preference may, however, be given to candidates who are able to interact with the existing research groups at the two schools. The successful candidates will have a commitment to developing a world-class environment for research and postgraduate training in the mathematical sciences through the newly established Maxwell Institute for Mathematical Sciences. While proven teaching ability is also of crucial importance, it is envisaged that the appointees will have reduced undergraduate teaching and administrative loads for the first four years in post. Closing date for applications: 17 October 2005 Full Details: http://www.maxwell.ac.uk ------ Subject: Chair & lecturer positions, Heriot-Watt Univ, Edinburgh, UK From: Dugald Duncan Date: Thu, 08 Sep 2005 16:06:55 +0100 Chair in Mathematics and Lecturer in Mathematics Department of Mathematics, Heriot-Watt University, Edinburgh, UK. Applications are invited for the posts of chair (full professor) and lecturer in Mathematics. The appointees will be expected to pursue research in some area of mathematics. There are particular strengths at present in mathematical biology and ecology, analysis, groups and topology, applied analysis, differential equations, numerical mathematics and mathematical physics which we would look to build on if possible, but outstanding applicants from any field who could contribute to a dynamic local research environment would be welcome. The appointees will also be expected to contribute to the undergraduate and postgraduate teaching of the Department. The Department achieved a 5 in Applied Mathematics in both the 1996 and 2001 UK Research Assessment Exercises and is committed to excellence in research. We have recently established a research partnership with Edinburgh University in the Maxwell Institute for Mathematical Sciences, which opens many new and exciting possibilities. Closing date for applications: 4 November 2005 Full Details: http://www.ma.hw.ac.uk ------ Subject: Lectureship in Mathematics, University of Strathclyde, UK From: Mark Ainsworth Date: Tue, 6 Sep 2005 14:35:31 +0100 Department of Mathematics, University of Strathclyde Permanent Lectureship in Mathematics GBP23,643 - GBP35,883 per annum Applications are invited for a Lectureship in the Department of Mathematics, tenable from 1 January 2006 or as soon as possible thereafter. Applicants should have strong research interests in any area of Numerical Analysis, Applied Analysis, Continuum Mechanics, Industrial Mathematics or Mathematical Biology. The Numerical Analysis group currently consists of two professors, four senior lecturers and three lecturers with research interests including numerical solution of PDEs and SDEs, numerical linear algebra and approximation theory. Informal enquiries should be addressed to the Head of Department: Professor Adam McBride (a.c.mcbride@strath.ac.uk +44 141 548 3647) Further information about the Department can be obtained at http://www.maths.strath.ac.uk For application form (Ref: 107/05) and further particulars (available on request in alternative formats for applicants with a disability) visit Vacancies at our website www.strath.ac.uk or contact the Personnel Office, University of Strathclyde, Glasgow G1 1XQ, tel 0141 553 4133 (24 hour Voicemail service). Closing Date for applications: 22 September 2005. ------ Subject: Research Assistantships: M.S. and Ph.D. From: Krishna Kumar Date: Tue, 13 Sep 2005 15:39:16 -0400 The Department of Aerospace Engineering at Ryerson University has a strong and vibrant research programme involving the development of pico- and fempto-satellites (weighing less than 1 kilogram) under Dr. Krishna Kumar, a well known expert in the area of spacecraft dynamics and control. Research assistantships for several masters' and PhD students are available in his areas of research starting Spring 2006. Dr. Kumar's areas of research include Dynamics and Control of Space Systems, Orbit and Attitude Dynamics and Control, Microsatellite systems, Nano- and Femoto-Satellites using Nano- and Micro-Electro- Mechanical Systems (MEMS), and Formation Flying. To pursue research in these exciting areas, the candidates should have a bachelor/master's degree in mechanical/aerospace/electrical engineering with a strong background in dynamics and control systems, mathematics as well as high GPA and TOEFL score. Interested candidates should send (preferably by email) latest by October 15, 2005, their resumes with names and contact information of three references as well as copies of any research papers to: Dr. Krishna Kumar, Associate Professor Department of Aerospace Engineering Ryerson University 350 Victoria Street Toronto, Ontario Canada M5B 2K3 Tel: 1-416-979-5000 Ext. 4908, Fax: 1-416-979-5056 Email: kdkumar@ryerson.ca http://www.ryerson.ca/~mechgrad/faculty.html ------ Subject: Postdoctoral Position at Cardiff University, UK From: "Tim Phillips" Date: Wed, 07 Sep 2005 09:05:44 +0100 Postdoctoral Position at Cardiff University Successful applicants will undertake research as part of an EPSRC funded Portfolio Partnership on Complex Fluids and Complex Flows, a collaborative inter-disciplinary initiative with the University of Wales Swansea, in the following area: 'The Prediction and Validation of Contraction Flows of Complex Fluids' The principal aims of the project are to undertake a quantitative comparison between experimental and numerical simulation studies for a range of well-characterized polymer solutions and melts and to formulate appropriate mathematical models. You should have a PhD, or be close to completion, in applied mathematics or engineering. The ability to write numerical software would be an advantage. This post is fixed-term for 30 months. Salary: GBP19460 - GBP29128 per annum. Further information and details of the application procedure please visit http://www.cardiff.ac.uk/schoolsanddivisions/divisions/humrs/jobs/academicresear+chsenior/ref605.html For further details contact Professor T N Phillips, School of Mathematics, at tel: 029 2087 4194 or by email at: PhillipsTN@cardiff.ac.uk Closing Date: 19 September 2005 ------ Subject: Postdoctoral position at CEMAGREF, France From: Alexandre Ern Date: Wed, 07 Sep 2005 19:04:48 +0200 Postdoctoral position: Numerical modeling of the interactions between vadose zone hydrology and shallow water-table fluctuations, including hysteresis and dynamic effects. Applications are invited for a 18-months postdoctoral position at Cemagref (http://www.cemagref.fr) in partnership with the Ecole Nationale des Ponts et Chaussees (http://www.enpc.fr). This position is offered as the outcome of the Cooperative Research Action DYNAS funded by INRIA (http://www-rocq.inria.fr/estime/DYNAS/). The project aimed at developing software tools using physically-based models and robust numerical methods to simulate the dynamics of shallow water-tables in variably saturated porous media. Vadose (or unsaturated) zone has been identified as one of the most complex parts of the hydrologic cycle. In particular, the transition domain between unsaturated and saturated (water-table) regions of the soil profile is a highly sensitive zone for water and solutes transport from the top soil to the ground water. Sometimes defined as the \223Capillary Fringe\224, this domain is subjected to high-frequency variable conditions such as wetting-drying cycles. These variations impact significantly the vadose zone hydrology especially when the water-table is close to soil surface and is likely to fluctuate. This situation is very common in near-stream humid areas or in artificially subsurface drained systems. The postdoctoral research will pursue the following objectives : - Review the appropriate literature to define a precise numerical modeling strategy; - Contribute to integrate hysteresis and dynamic effects in numerical codes of Cemagref and/or Cermics/ENPC. - Define test-cases to benchmark the various numerical tools; - Investigate, numerically, the impacts of hysteresis and dynamic effects for various soil types and transient boundary (and initial) conditions; - If possible, calibrate and validate the model(s) with existing experimental data from lab experiments; - Write a couple of scientific articles, to be submitted to high-ranking journals. The candidate should have, or receive shortly, a Ph.D. in the field of applied mathematics, scientific computing, or computational fluid dynamics and a relevant experience in computer programming. A background in the modeling of subsurface flows or connected physical processes is advisable. The position will be for 18 months starting in January or February 2006. The postdoctoral fellowship is approximately 1800/month net and includes basic health insurance. The candidate will be located at the Cemagref HBAN Research Unit, in Antony, 15 km south from Paris, and will interact frequently with the Cermics and Cereve laboratories on ENPC Campus in Marne la Vallee (20 km east from Paris). Candidates should submit by e-mail (pdf format preferred) or by post a cover letter in support of the application, a curriculum vitae with a list of publications, one to three publications, and name and addresses of 3 references. The material should be sent by October 15th 2005 to Dr.Cyril KAO Cemagref, HBAN Parc de Tourvoie, BP 44 92163, Antony Cedex, FRANCE cyril.kao@cemagref.fr ------ Subject: Contents, Discrete and Continuous Dynamical Systems - A 14:1 From: Hu_Shouchuan Date: Fri, 9 Sep 2005 08:15:25 -0500 Discrete and Continuous Dynamical Systems - Series A http://AIMsciences.org Authors: Yihong Du and Zongming Guo Pages: 1 - 29 Title: The degenerate logistic model and a singularly mixed boundary blow-up problem Authors: S.-I. Ei, M. Mimura and M. Nagayama Pages: 31 - 62 Title: Interacting spots in reaction diffusion systems Authors: Marek Fila, Hirokazu Ninomiya and Juan Luis Vazquez Pages: 63 - 74 Title: Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems Authors: Francois Hamel, Regis Monneau and Jean-Michel Roquejoffre Pages: 75 - 92 Title: Asymptotic properties and classification of bistable fronts with Lipschitz level sets Authors: Takanori Ide, Kazuhiro Kurata and Kazunaga Tanaka Pages: 93 - 116 Title: Multiple stable patterns for some reaction-diffusion equation in disrupted environments Authors: Yoshitsugu Kabeya Pages: 117 - 134 Title: Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition Authors: Yukio Kan-on Pages: 135 - 148 Title: Bifurcation structures of positive stationary solutions for a Lotka-Volterra competition model with diffusion II: global structure Authors: Satoshi Kosugi and Yoshihisa Morita Pages: 149 - 168 Title: Phase pattern in a Ginzburg-Landau model with a discontinuous coefficient in a ring Authors: J. Lopez-Gomez and P. Quittner Pages: 169 - 186 Title: Complete and energy blow-up in indefinite superlinear parabolic problems Authors: Andrea Malchiodi Pages: 187 - 202 Title: Construction of multidimensional spike-layers Authors: Mitsunori Nara and Masaharu Taniguchi Pages: 203 - 220 Title: Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations Authors: Philippe Souplet and Juan Luis Vazquez Pages: 221 - 234 Title: Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem ------ Subject: Contents, Nonlinearity 18:5 From: Liz Martin Date: Tue, 6 Sep 2005 12:56:57 +0100 NONLINEARITY Volume 18, Issue 5, September 2005 All articles are free for 30 days after publication on the web. This issue is available at: URL: http://stacks.iop.org/0951-7715/18/i=5 Pages: R1-16, 1885-2408 INVITED ARTICLE R1 A general method for conserving quantities related to potential vorticity in numerical models R Salmon PAPERS 1885 Generalized index for Hamiltonian systems with applications A A Zevin 1901 Bifurcations on the sphere with inhomogeneity T K Callahan 1927 On the `Mandelbrot set' for pairs of linear maps: asymptotic self-similarity B Solomyak 1945 A count of maximal small copies in Multibrot sets A Bridy and R A P\'erez 1955 Central limit theorems for contractive Markov chains A Nordvall Lager{\aa}s and \"O Stenflo 1967 Shock waves in an augmented one-dimensional atom chain G Stoltz 1987 The Cauchy problem for the hyperbolic--elliptic Ishimori system and Schr\"odinger maps C E Kenig and A R Nahmod 2011 Boundary approximation of deterministic and random attractors O M Tearne 2035 Unstable attractors: existence and robustness in networks of oscillators with delayed pulse coupling P Ashwin and M Timme 2061 Discrete Painlev\'e equations for a class of P${\rm _{VI}}$ ${\tau}$-functions given as {\it U(N)} averages P J Forrester and N S Witte 2089 Semiclassical transmission across transition states S C Creagh 2111 Multifractal of self-conformal measures Y-L Ye 2135 A topological delay embedding theorem for infinite-dimensional dynamical systems J C Robinson 2145 On the bifurcation to moving fronts in discrete systems N J Balmforth, T M Janaki and A Kettapun 2171 Signature of time-reversal symmetry in polynomial automorphisms over finite fields J A G Roberts and F Vivaldi 2193 Patterns of synchrony in lattice dynamical systems F Antoneli, A P S Dias, M Golubitsky and Y Wang 2211 Discrete nonholonomic LL systems on Lie groups Y N Fedorov and D V Zenkov 2243 Some extensions of the Poincar\'e--Birkhoff theorem to the cylinder and a remark on mappings of the torus homotopic to Dehn twists S Addas-Zanata 2261 The generalized Markov measure as an equilibrium state I Werner 2275 Diffraction managed solitons: asymptotic validity and excitation thresholds J T Moeser 2299 Stacked central configurations: new examples in the planar five-body problem M Hampton 2305 Maximum hitting frequency and fastest mean return time O Jenkinson 2323 Devroye inequality for a class of non-uniformly hyperbolic dynamical systems J-R Chazottes, P Collet and B Schmitt} 2341 Statistical consequences of the Devroye inequality for processes. Applications to a class of non-uniformly hyperbolic dynamical systems J-R Chazottes, P Collet and B Schmitt 2365 Neumann problem on the semi-line for the Eckhaus equation S De Lillo 2373 Higher regularity of invariant manifolds for nonautonomous equations L Barreira and C Valls 2391 Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay S Guo