Services aux conférences Mandl

Résumé: Stochastic Partial Differential Equations are used to model many physical systems subjected to the influence of internal, external or environmental noise. They also arise when considering deterministic models from random initial conditions, or as tractable approximations to complex deterministic systems. In many cases the presence of noise leads to new phenomena with many recent examples in the physical sciences, biology and financial modelling. The goal of the program is to bring together the world leaders in Stochastic Partial Differential Equations working on various aspects of the theory, numerical approximations and applications, as well as in related scientific areas. A number of workshops will take place during the programme.

Résumé: The mathematical work concerned with or inspired by General Relativity has increased substantially over the years and is still expanding, thanks to the wide variety of interesting and challenging problems that General Relativity can offer in several distinct areas of Mathematics, for example PDEs, Geometry and Numerical Analysis. Fundamental open questions in General Relativity, such as the stability of Kerr, the formation and structure of Black Holes and the Cosmic Censorship Conjecture, require for their understanding a deep analysis of the global behavior of solutions to the Einsten equations.

This conference brings together leading experts on General Relativity/non-linear wave equations and will cover topics of current and future research in these fields.

Résumé: In the last years, the development of several methods for the study of nonlinear differential problems has played a fundamental role in various fields of research as: mechanics engineering, neural networks, economy and a lot of others. The conference includes talks and communications by several experts in these research areas.

Résumé: The Mathematics Department at the University of Texas – Pan American will host an NSF/CBMS regional research conference on Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis during the week of May 17-21, 2010. The principal speaker will be Professor Adrian Constantin, Chair of Partial Differential Equations at the University of Vienna, Austria. Additional invited lectures will also be featured by other leading experts, including Professors J. Bona, A. Degasperis, J. Escher, A. S. Fokas, R. Johnson, W. Strauss, J. F. Toland, E. Varvaruca, and possibly others. Participation is open to scientists working at research level on theoretical and practical aspects of the conference’s topic. Some limited support is available for travel and local expenses. Underrepresented groups are strongly encouraged to apply.

Résumé: The Fifth International Conference "Inverse Problems: Modeling and Simulation" will be held during May 24-29, 2010, in one of distinguished hotels of the Mediterranean Region, in famous Lykia World & Links Golf Antalya hotel, Antalya, Turkey. The proposed International Conference will be under the auspices of the leading international journals, "Inverse Problems in Science and Engineering", "Inverse Problems", "Inverse and Ill-Posed Problems", and the International Society for Inverse Problems in Science and Engineering (ISIPSE). The organizers of the Conference, in particular Department of Mathematics and Computer Sciences Izmir University, Antalya Governorship and Antalya Metropolis Municipality will work to put together an excellent scientific program with social activities consisting of tours to historic places and boat rides.

Résumé: The aim of MOGRAN-14 is to stimulate discussions of new ideas, mathematical methods and applications of group analysis to problems of nonlinear differential equations, difference equations and integro-differential equations in mathematical modeling.

Résumé: This conference is devoted to fostering the interaction between the SIAM Activity Groups in Analysis of Partial Differential Equations (PDEs) and in Dynamical Systems and Applications (DS) with the Catalan and Spanish mathematical societies and RSME, SCM, and SEMA and the European applied mathematical community in general. The conference will put special emphasis in stimulating new promising research lines in PDEs and DS, encouraging bridges between academia and industry. Modelling, theoretical analysis, numerical analysis and simulation are the methodological core of these fields. Minisymposia and contributions in all these strategies are welcome, particularly those who use them in a unifying way.

Résumé: This conference can be considered a continuation of previous meetings on Geometry and Mathematical Physics which took place in Bulgaria-Zlatograd (1995) and Varna (1998-2009).

Résumé: The conference will be devoted to the discussion of some rapidly developing topics in degenerate and singular parabolic equations. In particular it will focus on Harnack inequalities, entropy methods and asymptotics, regularity theory, for solutions of nonlinear evolution equations. A session for contributed talks of young researchers will be scheduled.

Résumé: This conference will be held on the occasion of the 60th birthday of Professor Yuji Kodama. The conference will focus on integrable systems and nonlinear waves.

Résumé: A Summer School in Calculus of Variations and PDEs will be held in Ischia (Italy) at Continental Terme Hotel, June 13-18, 2010.

Résumé: The Mathematical Research Institute of the University of Seville (IMUS) is organizing a conference on the topic of Harmonic Analysis and Applications to pay tribute to Professor Richard Wheeden and acknowledge his many contributions to Harmonic Analysis and related fields like P.D.E.

Résumé: The Summer School and Workshop 'Harmonic Analysis and Related Topics' is intended both to Ph.D. students and young researchers and also experts in various topics related to Harmonic Analysis and Function Spaces. Summer School includes three short courses: 'Sobolev, capacitary and isocapacitary inequalities' (Vladimir Maz'ya) 'Weighted problems for operators of Harmonic Analysis in some Banach Function Spaces' (Vakhtang Kokilashvili) 'Variable Lebesgue Spaces' (David Cruz-Uribe). The workshop is supposed to cover a number of topics in Harmonic Analysis, Function spaces and related areas.

Résumé: Conservation Laws (or balance laws) are systems of partial differential equations which arise naturally as models for a variety of physical phenomena (e.g., fluid dynamics, magneto-hydrodynamics, combustion, oil recovery, and nonlinear elasticity). The primary focus of this summer program will be on recent developments in our understanding of such equations. Beginning with a rapid tutorial phase, the aim of the program will be to expose participants to current areas of active research and to help prepare them to pursue open problems in the field. The program will touch on both theoretical and computational aspects of conservation laws, and application areas (old and new) in which conservation laws play a central role will be highlighted.

Résumé: The Research Training Group in the Department of Mathematics at the University of Washington will host a summer school for advanced undergraduates and beginning graduate students on Inverse Problems & Partial Differential Equations. Students will attend lectures in the morning and problem sessions in small groups with mentors in the afternoon.

Résumé: The areas of interest include but are not limited to: Ordinary and Partial Differential Equations Difference Equations and Applications, Analysis and Applications, Applied Mathematics and Dynamical Systems, Combinatorics and Graph theory Functional equations, Integral Equations, Inequalities and Inclusions Differential Games; Control Theory, Probability, Statistics and Stochastic Processes, Quantum Theory; Relativity and Gravitational, Fluid Mechanics, Theory Integral and Differential Operators Fractional Calculus, Special Functions, Generalized Functions Mathematical Programming and Optimization, Approximation Theory, Numerical Analysis for Ordinary and Partial Differential Equations, Numerical Methods in Complex Analysis, Numerical Methods in Linear Algebra, Numerical Simulation, Interval Arithmetic, Information Systems, Software Engineering Software Technology, System theory; Theory of Data, Programming and Image processing, Wavelets, Discrete Mathematics, Applications in Mechanics, Physics, Chemistry, Biology, Technology, Economics and Industrial Problems.

Résumé: Professors Arthur Jaffe and J. Zinn-Justin have agreed to join us during the opening session on Sunday afternoon July 11. Professor Jaffe will discuss the important role of path integrals in the successes of constructive quantum field theory and Professor J. Zinn-Justin will discuss the importance of path integrals in condensed matter and particle physics. During the conference banquet, Professor Cecile DeWitt-Morette will discuss the history of path integrals and the impact on quantum field theory.

Résumé: The aim of this permanent school is to introduce undergraduate and Ph.D. students in Mathematics and Physics as well as post-doctoral researchers in a recently emerged area of Mathematics and Theoretical Physics: Secondary Calculus. A 'diffiety' is a new geometrical object that properly formalizes the concept of the solution space of a given system of (nonlinear) PDEs, much as an algebraic variety does with respect to solutions of a given system of algebraic equations. Secondary Calculus is a natural diffiety analogue of the standard Calculus on smooth manifolds, and as such leads to a very rich general theory of nonlinear PDEs. It appears that it is this the only natural language of quantum physics, just as the standard Calculus is for classical physics.

Résumé: The main objective of this workshop is to have timely reviews and discussions of recent results and current issues in (1) the mathematical foundations of integral-equation methods and associated fast algorithms, (2) implementations and performance assessments of such methods on a variety of computer architectures, and (3) existing and new application areas. A plethora of computational techniques already exists, and includes tree-codes, pre-corrected fast Fourier transforms, Ewald procedures, and the many classes of fast multipole methods. This workshop will help clarify the relative advantages of existing schemes, and elucidate the trajectories and applications of many methods now under development.

Résumé: Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth's substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modelling in the life sciences. During the last 10 yeas or so there has been significant developments both in the mathematical theory and applications of inverse problems. The purpose of the program would be to bring together people working on different aspects of the field, to appraise the current status of development and to encourage interaction between mathematicians and scientists and engineers working directly with the applications.

Résumé: The main objective of this program is aimed at advancing Partial Differential Equations (PDEs) research in kinetic theories and its impact in the applied sciences highlighting selected modern application areas. This effort has to be understood from a global perspective of research in PDEs bringing together mathematical modelling, analysis, numerical schemes, and simulation in a feedback loop of synergies. The three selected newly emerging application areas of kinetic theories are kinetic modelling in biology, coupled fluid-particle models, and PDE Models for quantum fluids. Several workshops will take place during the program.

Résumé: The 2-week course in the Continuous and Discrete Wavelet Transform covers the following topics: Time-frequency localization of wavelet functions, multiresolution analysis and variational methods for wavelet constructions; PDE-based methods for the continuous wavelet transform; multiresolution signal processing; wavelets and topology of chaotic phase curves.

Résumé: The objective of the DIEBM2010 Workshop is to bring together established scientists and postgraduate students working on aspects of Mathematical Biology, Numerical Analysis and Computing, Biology and Medicine where Differential and Integral equations apply and to report on current research and future developments. Themes/Topics: Numerical/Computationa/theoretical aspects of Differential and Integral Equations, and their applications in Biology and Medicine. Application topics include (and not restricted to): Cell Biology (eg. cell population, cell motility and molecular motor models); Epidemiology (eg. early childhood diseases models (measles, rubella, etc.); Various diseases models (eg. diabetes models, cancer, tuberculosis and influenza models, blood production and flow models). Also models associated with functions of various parts of the human body like the heart, kidneys, the pancreas, the eyes, the gastro-intestinal system, to mention a few.

Résumé: This conference is in honor of Willard Miller, Jr., who will be retiring from the University of Minnesota. Topics will include symmetry methods for differential equations, higher symmetries, separation and multi-separation of variables, special functions and orthogonal polynomials, Hamiltonian systems, both classical and quantum, super-integrability and its connections with separability and quasi-exact solvability, and applications to physical systems arising in classical and quantum mechanics and relativity.

Résumé: This workshop will survey novel discretization techniques in numerical partial differential equations that address the computational challenges posed by higher dimensions, higher orders, complex spaces, complex geometries, nonlinearities and multiscales. The focus is on new and fundamental methodologies that impact diverse areas of numerical partial differential equations.

Résumé: The amount of time required to solve the large scale problems arising from numerical partial differential equations is a major concern in using mathematical models based on partial differential equations. Various fast solution techniques, such as adaptive methods, domain decomposition methods and multilevel methods, have been developed to address this issue. This workshop will survey new developments and challenges in these and other fast solution techniques.

Résumé: The International Conference on Computational and Applied Mathematics aims to bring together academic scientists, leading engineers, industry researchers and scholar students to exchange and share their experiences and research results about all aspects of Computational and Applied Mathematics, and discuss the practical challenges encountered and the solutions adopted. SYMPOSIUM PARTIAL DIFFERENTIAL EQUATIONS (PDEs): MODELING, ANALYSIS AND NUMERICAL METHODS

Résumé: This program aims at the study of various topics within the area of Free Boundaries Problems, from the viewpoints of theory and applications. Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit apriori unknown sets, such as interfaces, moving boundaries, shocks, etc. The study of such sets, also known as free boundaries, often occupies a central position in such problems. The aim of this program is to gather experts in the field with knowledge of various applied and theoretical aspects of free boundary problems.

Résumé: This conference is sponsored by the SIAM Activity Group on Dynamical Systems.

Résumé: General topics of the conference: Dynamical Systems, Computational Mathematics, Simulation, Stochastic/Deterministic: Differential Equations, Partial Differential Equations, Integral Equations, Integro-Differential Equations, Difference Equations, and related topics.

Résumé: The meeting will concentrate on Analysis and Partial differential Equations, specifically in relation to the diverse set of topics Dr. Eric T. Sawyer has worked on and influenced during his rich and prolific career: Weighted norm inequalities, Several complex variables, Unique continuation, Singular integrals, fractional integrals, Elliptic equations and systems, Degenerate equations, Monge-Ampère equations, Number theory and Combinatorics.