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1

The attractor for a nonlinear reaction-diffusion system in an unbounded domain

Messoud A. Efendiev, Sergey V. Zelik

Journal:

Communications on Pure and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 362 KB

english, 2001

2

Infinite dimensional exponential attractors for a non–autonomous reaction–diffusion system

Messoud Efendiev, Alain Miranville, Sergey Zelik

Journal:

Mathematische Nachrichten

Year:

2003

Language:

english

File:

PDF, 334 KB

english, 2003

3

Finite-dimensional attractors and exponential attractors for degenerate doubly nonlinear equations

M. Efendiev, S. Zelik

Journal:

Mathematical Methods in the Applied Sciences

Year:

2009

Language:

english

File:

PDF, 244 KB

english, 2009

4

Finite-dimensional attractors for the quasi-linear strongly-damped wave equation

Varga Kalantarov, Sergey Zelik

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 393 KB

english, 2009

5

Strong trajectory attractor for a dissipative reaction-diffusion system

M. I. Vishik, S. V. Zelik, V. V. Chepyzhov

Journal:

Doklady Mathematics

Year:

2010

Language:

english

File:

PDF, 252 KB

english, 2010

6

Exponential attractors for random dynamical systems and applications

Shirikyan, Armen, Zelik, Sergey

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2013

Language:

english

File:

PDF, 474 KB

english, 2013

7

Regular attractors and nonautonomous perturbations of them

Vishik, Marko I, Zelik, Sergey V, Chepyzhov, Vladimir V

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2013

Language:

english

File:

PDF, 849 KB

english, 2013

8

Global and exponential attractors for nonlinear reaction–diffusion systems in unbounded domains

Efendiev, M., Miranville, A., Zelik, S.

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2004

Language:

english

File:

PDF, 455 KB

english, 2004

9

Inertial manifolds and finite-dimensional reduction for dissipative PDEs

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2014

Language:

english

File:

PDF, 518 KB

english, 2014

10

Ground reaction forces don’t indicate tibial forces: implications for injury prevention, shoe design & wearable tech

Matijevich, Emily, Branscombe, Lauren M., Scott, Leon R., Zelik, Karl

Journal:

Footwear Science

Year:

2019

Language:

english

File:

PDF, 581 KB

english, 2019

11

Quit being so rigid: how traditional gait analysis assumptions confound our understanding of ankles, feet, footwear and biomechanics

Zelik, Karl, Honert, Eric

Journal:

Footwear Science

Year:

2019

Language:

english

File:

PDF, 1.06 MB

english, 2019

12

Effects of toe length, foot arch length and toe joint axis on walking biomechanics

Honert, Eric C., Bastas, Gerasimos, Zelik, Karl E.

Journal:

Human Movement Science

Year:

2020

File:

PDF, 4.58 MB

2020

13

The Attractor for a Nonlinear Reaction-Diffusion System in the Unbounded Domain and Kolmogorove's ε-Entropy

Journal:

Mathematische Nachrichten

Year:

2001

Language:

english

File:

PDF, 495 KB

english, 2001

14

Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity

Sergey V. Zelik

Journal:

Communications on Pure and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 475 KB

english, 2003

15

Exponential attractors for a singularly perturbed Cahn-Hilliard system

Messoud Efendiev, Alain Miranville, Sergey Zelik

Journal:

Mathematische Nachrichten

Year:

2004

Language:

english

File:

PDF, 254 KB

english, 2004

16

Robust exponential attractors for Cahn-Hilliard type equations with singular potentials

Alain Miranville, Sergey Zelik

Journal:

Mathematical Methods in the Applied Sciences

Year:

2004

Language:

english

File:

PDF, 270 KB

english, 2004

17

Exponential attractors for the Cahn–Hilliard equation with dynamic boundary conditions

A. Miranville, S. Zelik

Journal:

Mathematical Methods in the Applied Sciences

Year:

2005

Language:

english

File:

PDF, 216 KB

english, 2005

18

Global and exponential attractors for 3-D wave equations with displacement dependent damping

Vittorino Pata, Sergey Zelik

Journal:

Mathematical Methods in the Applied Sciences

Year:

2006

Language:

english

File:

PDF, 155 KB

english, 2006

19

Exponential attractors for a nonlinear reaction-diffusion system in R3

Messoud Efendiev, Alain Miranville, Sergey Zelik

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 153 KB

2000

20

A trajectory attractor of a nonlinear elliptic system in an unbounded domain

Journal:

Mathematical Notes

Year:

1996

Language:

english

File:

PDF, 226 KB

english, 1996

21

Roll Stabilization with Short Wings

Zelik Segal, Alexander Segal

Journal:

Naval Engineers Journal

Year:

2011

Language:

english

File:

PDF, 365 KB

english, 2011

22

Strong trajectory attractors for dissipative Euler equations

V.V. Chepyzhov, M.I. Vishik, S.V. Zelik

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2011

Language:

english

File:

PDF, 177 KB

english, 2011

23

Accurate Corona Detector Calibrator

Parker, R.D., Delong, R.V., Zelik, J.A.

Journal:

IEEE Transactions on Electrical Insulation

Year:

1980

Language:

english

File:

PDF, 594 KB

english, 1980

24

The effect of prosthetic foot push-off on mechanical loading associated with knee osteoarthritis in lower extremity amputees

David C. Morgenroth, Ava D. Segal, Karl E. Zelik, Joseph M. Czerniecki, Glenn K. Klute, Peter G. Adamczyk, Michael S. Orendurff, Michael E. Hahn, Steven H. Collins, Art D. Kuo

Journal:

Year:

2011

Language:

english

File:

PDF, 549 KB

english, 2011

25

Existence and longtime behavior of a biofilm model

Efendiev, Messoud, Zelik, Sergey, Eberl, Hermann

Journal:

Communications on Pure and Applied Analysis

Year:

2008

Language:

english

File:

PDF, 1.45 MB

english, 2008

26

Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems

Efendiev, M., Zelik, S., Miranville, A.

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2005

Language:

english

File:

PDF, 272 KB

english, 2005

27

The attractor for a nonlinear hyperbolic equation in the unbounded domain

Journal:

Discrete and Continuous Dynamical Systems

Year:

2001

Language:

english

File:

PDF, 146 KB

english, 2001

28

Finite- and infinite-dimensional attractors for porous media equations

Efendiev, M., Zelik, S.

Journal:

Proceedings of the London Mathematical Society

Year:

2007

Language:

english

File:

PDF, 373 KB

english, 2007

29

Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations

Schimperna, Giulio, Zelik, Sergey

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 455 KB

english, 2012

30

Green's function asymptotics and sharp interpolation inequalities

Zelik, S V, Ilyin, A A

Journal:

Russian Mathematical Surveys

Year:

2014

Language:

english

File:

PDF, 911 KB

english, 2014

31

Global averaging and parametric resonances in damped semilinear wave equations

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2006

Language:

english

File:

PDF, 759 KB

english, 2006

32

Six degree-of-freedom analysis of hip, knee, ankle and foot provides updated understanding of biomechanical work during human walking

Zelik, K. E., Takahashi, K. Z., Sawicki, G. S.

Journal:

Journal of Experimental Biology

Year:

2015

Language:

english

File:

PDF, 543 KB

english, 2015

33

Judging Sufficiency: How Professional Intelligence Analysts Assess Analytical Rigor

Zelik, D. J., Patterson, E. S., Woods, D. D.

Journal:

Proceedings of the Human Factors and Ergonomics Society Annual Meeting

Year:

2007

Language:

english

File:

PDF, 114 KB

english, 2007

34

Finite-dimensional global and exponential attractors for the reaction–diffusion problem with an obstacle potential

Segatti, Antonio, Zelik, Sergey

Journal:

Year:

2009

Language:

english

File:

PDF, 397 KB

english, 2009

35

Soft Tissue Deformations Contribute to the Mechanics of Walking in Obese Adults

FU, XIAO-YU, ZELIK, KARL E., BOARD, WAYNE J., BROWNING, RAYMOND C., KUO, ARTHUR D.

Journal:

Medicine & Science in Sports & Exercise

Year:

2015

Language:

english

File:

PDF, 1.73 MB

english, 2015

36

On the strongly damped wave equation with memory

Pata, Vittorino, Di Plinio, Francesco, Zelik, Sergey

Journal:

Indiana University Mathematics Journal

Year:

2008

Language:

english

File:

PDF, 293 KB

english, 2008

37

IMU-based gait analysis in lower limb prosthesis users: Comparison of step demarcation algorithms

Bastas, Gerasimos, Fleck, Joshua J., Peters, Richard A., Zelik, Karl E.

Journal:

Year:

2018

Language:

english

File:

PDF, 1.58 MB

english, 2018

38

Kinematic patterns while walking on a slope at different speeds

Dewolf, Arthur H., Ivanenko, Yury, Zelik, Karl E., Lacquaniti, Francesco, Willems, Patrick A.

Journal:

Journal of Applied Physiology

Year:

2018

Language:

english

File:

PDF, 2.30 MB

english, 2018

39

Beyond Ground Reaction Forces: Towards a Wearable Device for Monitoring Bone Stress, Preventing Stress Fractures

Matijevich, Emily, Branscombe, Lauren, Scott, Leon, Zelik, Karl

Journal:

Archives of Physical Medicine and Rehabilitation

Year:

2018

Language:

english

File:

PDF, 144 KB

english, 2018

40

Large dispersion, averaging and attractors: three 1D paradigms

Kostianko, Anna, Titi, Edriss, Zelik, Sergey

Journal:

Year:

2018

Language:

english

File:

PDF, 1.95 MB

english, 2018

41

Soft tissue work in early stance of walking: partitioning foot vs. rest-of-body contributions

Honert, Eric, Zelik, Karl

Journal:

Footwear Science

Year:

2019

Language:

english

File:

PDF, 595 KB

english, 2019

42

Ankle joint complex power during walking and running: effects of marker location, and shoe- vs. skin-mounted markers

McDonald, Kirsty, Honert, Eric, Cook, Olivia, Zelik, Karl

Journal:

Footwear Science

Year:

2019

Language:

english

File:

PDF, 950 KB

english, 2019

43

Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials

Maurizio Grasselli, Alain Miranville, Vittorino Pata, Sergey Zelik

Journal:

Mathematische Nachrichten

Year:

2007

Language:

english

File:

PDF, 376 KB

english, 2007

44

The long-time behaviour of the thermoconvective flow in a porous medium

M. A. Efendiev, J. Fuhrmann, S. V. Zelik

Journal:

Mathematical Methods in the Applied Sciences

Year:

2004

Language:

english

File:

PDF, 536 KB

english, 2004

45

Classification of positive solutions of semilinear elliptic equations

Jérôme Busca, Messoud Efendiev, S. Zelik

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 88 KB

2004

46

A Gronwall-type lemma with parameter and dissipative estimates for PDEs

Stefania Gatti, Vittorino Pata, Sergey Zelik

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 455 KB

english, 2009

47

Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization

M. Efendiev, S. Zelik

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2002

File:

PDF, 217 KB

2002

48

Strength of welded copper joints

A. N. Kuzyukova, M. I. Fedorenko, N. I. Kovalenko, E. I. Zelik

Journal:

Chemical and Petroleum Engineering

Year:

1982

Language:

english

File:

PDF, 507 KB

english, 1982

49

Almost-periodic solutions of a class of linear hyperbolic equations

Journal:

Mathematical Notes

Year:

1994

Language:

english

File:

PDF, 142 KB

english, 1994

50

The mathieu-hill operator equation with dissipation and estimates of its instability index

Journal:

Mathematical Notes

Year:

1997

Language:

english

File:

PDF, 847 KB

english, 1997

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