ModelingNonlinear dynamicsSciencesFluid DynamicsTransitionsNumericalSimulationsHydrodynamicsHamiltonianStructuresEquationMechanicsMolecularInvestigationsLiving systemsDiffusiveModelsApplicationsCellularAssessmentsNucleationSolveProcessesTheoreticalAnalysisExperimentalDropletsDispersionLiquidsProblemsDrivenMotionsMoleculesTheoryIntegralFluctuationsFormationEmergenceAcuteProceedingsProcessModulationStudiesTissueSystemDevelopment
Modeling3
- Our aim is to develop a mathematical framework for modeling and analyzing systems with multiple scales. (wias-berlin.de)
- We review recent advances made in modeling heteroepitaxy, two-step nucleation, and nucleation at the growth front within the framework of a simple dynamical density functional theory, the Phase-Field Crystal (PFC) model. (phasefield.hu)
- With this Dynamics workshop, our goal is to bring together leading experts in the field of membrane dynamics, with a particular focus on neutrons and X-rays, but also complementary techniques including NMR, single molecule spectroscopy and computer modeling. (lu.se)
Nonlinear dynamics1
- J. Nonlinear Dynamics (2010, v. 6, N. 4) and contains applications of the Boolean functions method to investigation of the admissible regions and the phase topology of three algebraically solvable systems in the problem of motion of the Kowalevski top in the double force field. (ics.org.ru)
Sciences1
- Prior to UNR, he was a lecturer at Princeton University and a post-doctoral fellow working jointly with Michael Shelley (NAS member) at the Courant Institute of Mathematical Sciences and Howard Stone (NAE and NAS member) at Princeton University. (mtu.edu)
Fluid Dynamics1
- I give particular emphasis on soft condensed matter theory and fluid dynamics, including multiphase flows, microfluidics, and hydrodynamic instabilities. (open.ac.uk)
Transitions6
- The first order phase transitions, like freezing of liquids, melting of solids, phase separation in alloys, vapor condensation, etc., start with nucleation, a process in which internal fluctuations of the parent phase lead to formation of small seeds of the new phase. (phasefield.hu)
- However, in most cases in nature and technology, liquid systems are multicomponent and multiphase, with phase transitions between the phases, and thus far from equilibrium. (balzan.org)
- The state of non-equilibrium can be driven by flow, mixture, phase transitions, chemical reactions, electrical current, or heat, to name some of the driving factors. (balzan.org)
- Tricritical Behavior in Dynamical Phase Transitions. (cam.ac.uk)
- The consideration of phase transitions and of inelastic constitutive laws leads to coupled new systems of partial differential equations. (wias-berlin.de)
- Typically, quantities like heat conductivity or the latent heat released or consumed during phase transitions do not only depend on temperature but also on the respective phase. (wias-berlin.de)
Numerical4
- In this thesis we study a variety of nanoscale phenomena in certain polymer systems using a combination of numerical simulation methods and mathematical modelling. (vuw.ac.nz)
- The main aim of the first project is partly to obtain a comprehensive mathematical-ecological model formulated as a system of PDEs with a spatially discontinuous velocity, and partly to create a numerical method to approximate the solution. (lu.se)
- We are confident that the fact that we come from different mathematical communities (PDE theory, mathematical physics, probability theory and numerical analysis), as well as the fact that we have strong and effective collaborations with physicists, will bring new and efficient scientific approaches to the problems we plan to tackle and will make our team strong and unique in the scientific landscape. (inria.fr)
- You will learn how to set up the model equations and develop the skill set needed to use appropriate analytic and numerical tools to solve the resulting mathematical problem. (informit.com)
Simulations4
- Using molecular dynamics (MD) simulations, it is shown that mixing is enhanced when the polymer chain size is smaller than the wavelength of the chemical pattern of the surfaces. (vuw.ac.nz)
- 1. Theory, Molecular/Mesoscopic Simulations, and Experimental Techniques of Aqueous Phase Adsorption. (routledge.com)
- 4. Water and Aqueous Phase Adsorption in Metal-Organic Frameworks: From Experiments to Simulations. (routledge.com)
- 5. Coating of Nanoparticles in Aqueous Solutions : Insights from Molecular Dynamics Simulations. (routledge.com)
Hydrodynamics3
- Lastly, the phase separation process in polymer blends between both confined and unconfined boundaries is studied using Smoothed Particle Hydrodynamics (SPH). (vuw.ac.nz)
- Classical hydrodynamics focuses on pure liquids in a single phase. (balzan.org)
- In the first place, Physicochemical Hydrodynamics describes theoretical and mathematical concepts. (balzan.org)
Hamiltonian3
- The unifying themes of this work are Hamiltonian dynamics, short-wavelength asymptotics, the classical-quantum correspondence, geometrical and topological methods, and symmetry. (berkeley.edu)
- This will include Hamiltonian dynamics as well as different types of dissipation like gradient flows or rate-independent dynamics. (wias-berlin.de)
- We aim to completely formalize the rough topological analysis of integrable Hamiltonian systems admitting analytical solutions such that the initial phase variables along with the time derivatives of the auxiliary variables are expressed as rational functions (in fact, as polynomials) in some set of radicals depending on one variable each. (ics.org.ru)
Structures3
- History of physical cosmology - history of the study of the largest-scale structures and dynamics of the universe and is concerned with fundamental questions about its formation and evolution. (wikipedia.org)
- The Turing Centre addresses the nature of the information underlying biological processes, and the organisation and dynamics of biological structures. (centuri-livingsystems.org)
- We will focus on systems with geometric structures, where the dynamics is driven by functionals. (wias-berlin.de)
Equation3
- Additionally, a Cahn-Hilliard type equation (fourth order non-linear PDE modelling phase separation) is used to define a constitutive equation for the convective velocities. (lu.se)
- Another typical example of problem that the team wishes to address concerns the Landau-Lifshitz (LL) equation, which describes the dynamics of the spin in ferromagnetic materials. (inria.fr)
- Write a species conservation law (mass balance) first in words and then as a mathematical equation for the chosen control volume. (informit.com)
Mechanics2
- How does mechanics impact cell and tissue organisation and dynamics? (centuri-livingsystems.org)
- Principles of fluid mechanics and physical separation processes are introduced. (uaeu.ac.ae)
Molecular2
- 2. Graphene Nanopores-Based Separation of Impurities from Aqueous Medium: An insight from molecular simulation. (routledge.com)
- The project within these areas will feature multi-scale experiements, molecular modelling and simulation, pore-scale modelling, computaional fluid and solid dynamics, machine-learning and big data analytics, and process systems modelling and optimization. (imperial.ac.uk)
Investigations2
- This phase of co-ordinated research topics continues the very successful investigations to improve industry's ability to understand Transient Multiphase Flows. (imperial.ac.uk)
- An important challenge is the further interdisciplinary development of measurement techniques based on the mathematical investigations. (wias-berlin.de)
Living systems1
- It will impact both basic research and medicine, since diseases emerge from anomalies in the organisation and dynamics of living systems. (centuri-livingsystems.org)
Diffusive1
- Results obtained with diffusive dynamics (applicable to colloids) and with a hydrodynamic extension of the PFC theory (HPFC, developed for simple liquids) will be compared. (phasefield.hu)
Models4
- The metastable states during the capillary absorption in some cases cannot be explained using the existing models of capillary dynamics. (vuw.ac.nz)
- He has also developed lattice Boltzmann method-based mathematical models for adsorption and flow systems. (routledge.com)
- Quantum cooperative effects and quasiparticle dynamics in the basic microscopic models of quantum theory of magnetism: the Heisenberg model, the Hubbard model, the Anderson Model, and the spin-fermion model are considered in the framework of novel self-consistent-field approximation. (pdf-archive.com)
- Scholars have done more research on chaotic systems through explaining the integer order mathematical models [ 12 - 14 ]. (hindawi.com)
Applications3
- Electroconvection is an emerging topic of interest for engineers due to its great potential in industrial applications such as separation, desalination, fuel cells and, more recently by nanofluidic channels. (aps.org)
- Many theoretical efforts over the last few years have focused their attention on understanding how the properties of the solid surface affect the dynamics of the droplet, with particular emphasis on droplet control and manipulation, which is important for a wide range of technological applications, such as liquid-repellent surfaces, micro chemical reactors and fluid transport processes, and the rapidly growing fields of Nano- and micro-fluidics. (open.ac.uk)
- MIP Technologies develops and produces molecularly imprinted polymers (MIPs) and other `smart' polymer materials for use in trace analysis or in advanced separations applications. (lu.se)
Cellular2
- How is information encoded in collective cellular dynamics? (centuri-livingsystems.org)
- authors":{"en":[{"name":"Horikawa Kazuki"},{"name":"Nagai Takeharu"}],"ja":[{"name":"堀川 一樹"},{"name":"Nagai Takeharu"}]},"description":{"en":"Bioluminescence imaging of cellular function is a promising strategy. (tokushima-u.ac.jp)
Assessments1
- This includes studies examining caregiver QOL in the phases following the cessation of active treatment and assessments of health systems, support services, and insurance to determine barriers and facilitators needed to meet the immediate and long-term needs of cancer caregivers. (cdc.gov)
Nucleation1
- When the fluctuations of the parent phase alone lead to transition, the process is called homogeneous nucleation. (phasefield.hu)
Solve1
- The objective of this course is to learn basic computational techniques for solving a variety of mathematical problems that cannot be solved analytically, and to improve students' confidence in using computational tools to solve problems in chemical engineering. (uaeu.ac.ae)
Processes2
- In process industries, most of the common separation processes involve the process of mass transfer from one phase to another. (informit.com)
- Development of a mathematical model to describe the process is central to the analysis and design of these processes. (informit.com)
Theoretical1
- The ultimate goal of the proposed research is the systematic and predictive theoretical and computational analysis of the dynamics of droplets with dynamic size on surfaces that have controllable and experimentally amenable properties. (open.ac.uk)
Analysis2
- A drawback of SSFs is that difficult sampling and complex microbial dynamics pose an obstacle for analysis and predictions. (lu.se)
- Students begin their work in the department with a thorough training in rigorous logical reasoning and mathematical proofs in the context of analysis and linear algebra. (princeton.edu)
Experimental1
- Mathematical and experimental investigation of mycelial growth (Ph.D. thesis). (tu-dresden.de)
Droplets2
- The problems considered are: (a) the mixing behaviour of polymeric fluids in micro- and nanofluidic devices, (b) capillary absorption of polymer droplets into narrow capillaries, and (c) modelling the phase separation and self-assembly behaviour in polymer systems with freely deforming boundaries. (vuw.ac.nz)
- Usually, the parent phase resides in a container and/or it incorporates floating heterogeneities (solid particles, droplets, etc. (phasefield.hu)
Dispersion1
- Additionally, surfactants are often employed to combat the biggest drawback of nanoparticle dispersion- tendency to segregate and phase separation, but it is not always obvious how these two specials interact. (ischolarshipgrants.com)
Liquids1
- The liquids can be binary, ternary, or they may contain even more components, with several in different phases. (balzan.org)
Problems3
- Reaction-diffusion systems with strong interaction terms appear in many multi-species physical problems as well as in population dynamics. (birs.ca)
- I am especially interested in mathematical aspects of basic problems in applied physics. (berkeley.edu)
- From this point of view we consider here the topologically richest classical problems of the rigid body dynamics. (ics.org.ru)
Driven3
- Y. Kafri, E. Levine, D. Mukamel, G. M. Schütz, and J. Török Criterion for Phase Separation in One-Dimensional Driven Systems , Physical Review Letters 89 , 35702 (2002) also at cond-mat/0204319 . (bme.hu)
- Y. Kafri, E. Levine, D. Mukamel, and J. Török Sharp crossover and anomalously large correlation length in driven systems , Journal of Physics A: Mathematical and General , 35 , L459 (2002) also at cond-mat/0206145 . (bme.hu)
- In this talk, using Caenorhabditis elegans as model animal, we present a data-driven phase field model to simulate the morphogenesis procedure within a confined compressed eggshell. (smb.org)
Motions2
- A fundamental problem in this area is the separation of rotations from internal motions in few-body systems, that is, how to write down and understand the few-body Hamiltonians which result when all the degrees of freedom which can be eliminated analytically due to translational and rotational invariance have been eliminated. (berkeley.edu)
- R. G. Littlejohn and M. Reinsch, "Gauge fields in the separation of rotations and internal motions in the n-body problem," Rev. Mod. (berkeley.edu)
Molecules1
- I am particularly interested in co-operative dynamics: for example, how do molecules move in crowded environments? (cam.ac.uk)
Theory1
- We compare two versions of the phase-field theory for polycrystalline solidification, both relying on the concept of orientation fields: one by Kobayashi et al. (phasefield.hu)
Integral1
- ii) The fractional order calculus can more accurately describe the dynamic response of the actual system in the mathematical model, while the integral order calculus depends on the partial features of the function. (hindawi.com)
Fluctuations1
- Putting it in another way, to form the bulk new phase, the system needs to pass a thermodynamic barrier via thermal fluctuations. (phasefield.hu)
Formation1
- Moreover, first of all, natural convection in Single Component Mutli-Phase (SCMP) was discussed and here and then after validation of SCMP model, the results indicated that the streamline and isotherm were affected by second phases because of the formation of two-phase flow in some of the reservoirs or production period. (benthamopen.com)
Emergence1
- We show also, how perturbations breaking the time-reversal symmetry and destroying the conservative regions can lead to complicated types of dissipative dynamics such as the emergence of long-period cycles showing a bursting-like behavior. (wias-berlin.de)
Acute2
- Mammalian toxicity of munitions compounds: Phase I. Acute oral toxicity, primary skin and eye irritation, dermal sensitization, disposition and metabolism, and Ames tests of additional compounds. (cdc.gov)
- Abstracted articles were categorized according to caregiving recipient's phase of survivorship (acute, middle to long-term, end of life/bereavement). (cdc.gov)
Proceedings1
- O. Burylko , M. Wolfrum , S. Yanchuk , J. Kurths , Time-reversible dynamics in a system of two coupled active rotators , Proceedings of the Royal Society of Edinburgh. (wias-berlin.de)
Process1
- Identify the closure relations needed in addition to species mass balance to complete the mathematical description of the process. (informit.com)
Modulation3
- Here, a multi-channel data transmission method based on OAM phase modulation (phase encoding) under scattering is proposed. (bvsalud.org)
- Here ξ and τ are normalized distance and time, and induced modulation instability involves the evolution along ξ of a temporally modulated continuous wave towards a train of ultrashort compressed pulses followed by a return phase of broadening towards the initial state. (nature.com)
- As the modulation parameter a increases, the temporal separation between adjacent peaks increases at the same time as the compressed temporal width of each individual peak decreases. (nature.com)
Studies2
- Finally, examples of physics studies for scenario optimization in the non-active and D-T operational phases of ITER will be shown. (cern.ch)
- While many studies have been focused on the membrane structure, the dynamics of such systems are crucial for the function of the membrane including membrane bound proteins. (lu.se)
Tissue1
- To reveal 3D morphologic changes of the cells contributing to the tissue deformation, we constructed a 3D vertex dynamics model in which the hindgut epithelial cells were represented by hexagonal cylinders. (smb.org)
System1
- Integer order calculus is a special case in fractional order calculus, which is approximation to the actual system in mathematical model. (hindawi.com)
Development1
- Our courses cover a wide variety of well-established mathematical knowledge that is actively under development by today's mathematicians and that offers fundamental tools for scientists and engineers of all kinds. (princeton.edu)