Prof. Dr. Messoud Efendiyev

M.A. Efendiev, W.L. Wendland. Nonlinear Riemann-Hilbert problems for multiply connected domains, Journal: Nonlinear Analysis, TMA, 27, N 1, (1996) 37-58
M.A. Efendiev, On a new variant degree theory of mapping and its applications, Book: Walter de Gruyter, Berlin - New York 1996, 111-123, Eds. V. Lakshmikantham.
M.A. Efendiev. Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffiusion equations in Rⁿ Journal: Proceedings of RIMS Kyoto, vol. 12, 1998, 81-91, Japan
M.A. Efendiev. On attractors of reaction diffusion equations in unbounded domains involving gradient dependence nonlinearities. Preprint FU-Berlin,97-42.
M.A. Efendiev, Upscaling of bio-chemical processes, Journal: JAMB, Japanese Association for Mathematical Biology, vol. 26, 1998, 1-17.
M.A. Efendiev, S. Zelik. On a class of reaction diffusion equations possessing attractors with infinite Hausdorff dimensions. Preprint FU-Berlin, 98-45. Part I.
M.A. Efendiev, S. Zelik. Dependence of global attractors from weight of phase space. Preprint, FU-Berlin, N 12, 1998, 1-20
M.A. Efendiev. On uniqueness and quasidifferentiability of semigroups for general class parabolic equations in Rⁿ Proceedings of Conference "Evolution equations of Mathematical Physics", Kyoto 1998, Japan, vol. 10, 8-12, Eds. M. Otani.
M.A. Efendiev, New topological invariants for nonlinear operators, Address to Berlin Mathematical Society, 1-20, 1998.
M.A. Efendiev, B. Fiedler, A. Schuppert and M. Wolfrum. Upscaling Balance Condition and its Applications in Chemical Industry, Technical Report, HOECHST AG, 1998, 1-37.
M.A. Efendiev, B. Fiedler. A. Schuppert. Upscaling of some exothermic reactions from chemical industry, Journal: ZAMM, Z. Angew. Math. Mech. 76 (1996) S2, 153156
M.A. Efendiev, W.L. Wendland, Nonlinear Riemann-Hilbert problems without transversality. Journal: Mathematische Nachrichten, N 183 (1997) 73-89
M.A. Efendiev, M. Wolfrum and A. Schuppert. Isothermal Upscaling of Chemical Reactors: Two Examples. Journal: Nonlinear Analysis, TMA, vol. 30, N 6, 1997, 3455-3461
M.A. Efendiev, B. Fiedler, A. Schuppert. Thermisch stabiles Upscaling einer exothermen Modellreaktion, Springer, 1997, 83-90. Univ. and Industry, Eds. H. Schunck, etc.
M.A. Efendiev, W.L.Wendland, Similarity principle and Nonlinear Riemann-Hilbert problems, Pitman Research Notes in Mathematics Series, 379, Longman, 1998, 81-89, Eds. C. Costanda, etc.
M.A. Efendiev, Upscaling and Design of chemical reactors, Proceedings Band of Workshop "Struktur und Topologie-Optimierung", Augsburg, 1998, 1-7, Eds. H. Poppe.
M.A. Efendiev, A. Miranville. Finite dimensional attractors for reaction diffusion equations in Rⁿ with strong nonlinearity in L(p) spaces, Preprint: Dynamik, Analysis 17/99. 1-36, FU-Berlin
M.A. Efendiev, H. Schmitz, W.L. Wendland. On some nonlinear potential problems, Journal: Differential Equation, 1999, N 18, 1-17
M.A. Efendiev, A. Schuppert. Stability analysis of chemical reactors, Springer 1999, Scientific Computing in Chemical Engineering II, 225-230, Eds. F. Keil.
M.A. Efendiev. Computation of exponential attractors: Proceedings of 2.Internationales Symposium "Untersuchung nichtlinear-dynamischer Effekte in produktionstechnischen Systemen", Aachen, February, 1999, 1-12, Eds. R. Scholz.
H. Begehr, M.A. Efendiev, On the asymptotics meromorphic solutions of the nonlinear Riemann-Hilbert problems. Journal: Cambridge Philosophical Society, 1999, vol. 127, part 1, 159-172.
M.A. Efendiev, A. Miranville, Finite dimensional attractors for reaction diffusion equations in Rⁿ with a strong nonlinearity, Journal: Discrete and Continuous dynamical Systems, vol. 5, N2 (1999), 399-424.
M.A. Efendiev, A. Miranville, S.Zelik, Exponential attractors for a nonlinear reaction-diusion system in Rⁿ, Journal: C.R. Acad. Sci.Paris, t. 330, Serie I, 2000, 713-718.
M.A. Efendiev, G. Habermehl, A. Schuppert. On stability of complex chemical reactors: an example, Proceedings of VW-Stiftung, 2000, Cottbus, 1-12 (Germany), Eds. H. Schulze.
M.A. Efendiev, V.V. Chepyzhov: Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An Example, Journal: Communications on Pure and Applied Mathematics, vol. LIII (2000), 0647-0665.
M.A. Efendiev, E. Wegert, Nonlinear Riemann-Hilbert problems with Lipschitz continuous boundary condition, Journal: Proceedings of the Royal Society of Edinburgh, 130 A, 2000, 793-800.
M.A. Efendiev, W.L. Wendland. Orientable and nonorientable Riemann-Hilbert problems, Journal: Integral Equations and Operator Theory, vol. 121, 2001, 73-88.
M.A. Efendiev, S. Zelik, The attractor of reaction diffusion in unbounded domain, Journal: Communication on pure and applied Math-ematics, vol. LIV, 2001, 0625-0688.
M.A. Efendiev, W.L. Wendland, Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data, Journal: Topological Methods in Nonlinear Analysis, vol. 17, 2001, 111-12
M.A. Efendiev, W.L. Wendland. Nonlinear Riemann-Hilbert problems with Lipschitz boundary conditions without transversality, Journal: Nonlinear Analysis, TMA, 47 (2001), 457-466
M.A. Efendiev, W.L. Wendland, Bericht zum Statusseminar des SFB 404, Preprint N 14, 2001.
M.A. Efendiev, S. Zelik. Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization, Journal: Ann. Inst. Poincare Serie: Analyse non lineaire, 19, 6 (2002)961-989.
M.A. Efendiev, W.L. Wendland, On boundary-layer type solutions of nonlinear Riemann-Hilbert problems and related geometrical structures, Journal: Proceedings of the Royal Society, London, A, 458 (2002), 539-562
M.A. Efendiev, S. Zelik, Upper and lower bounds for the Kolmogorov entropy of the attractor for an RDE in an unbounded domain, Journal of Dynamics and Differential Equations, vol. 14, 2002, N 2, 369-404.
M.A. Efendiev, W.L. Wendland, Nonlinear Riemann-Hilbert problems with Lipschitz boundary conditions, Journal: Proceedings of the Royal Society, London A, Volume 457, 7 (2002), 1-15.
M.A. Efendiev, H.J. Eberl, S.V. Zelik, Existence and longtime behaviour of solutions of a nonlinear reaction-diffusion system arising in the modelling of biofilms, Journal: Proceedings of RIMS, Kyoto, 2002, Vol. 8, pp 1-25.
M.A. Efendiev, Orientability and Bifurcation: Geometric approach Preprint-5, 2002, Uni-Stuttgart
M.A. Efendiev, W.L. Wendland, (Eds:) Book of Abstracts: Multifield Problems, Preprint SFB 404, N 4, 2002, 1-144.
M.A. Efendiev, A. Miranville, S. Zelik, Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion systems, Journal: Math. Nachrichten, vol. 148-149 (2003), 72-96
M.A. Efendiev, H. Gajewski, S. Zelik, The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity. Journal: Adv. in Diff. Eqns.7 (2003), no. 9, 1073-1100.
M.A. Efendiev, A. Miranville, New generalization of the Cahn-Hilliard equation based on a microforce balance. Eds. W.L. Wendland, M.A. Efendiev Lecture Notes in Applied and Computational Mechanics vol 12. (2003), 233-238, Springer-Verlag.
M.A. Efendiev, B. Fiedler, L. Lerman, J. Rademacher, A. Schuppert. Stability analysis of chemical reactors from chemical industry,Springer-Verlag,Mathematics-key technology for the future, Berlin (2003), 175-183, Eds.W. Jäger, etc.
M.A. Efendiev, A. Miranville, The dimension of the global attractor for dissipative reaction-diffusion systems. Journal: Appl. Math. Letters, 16 (2003), 351-355.
H. Eberl, M.A. Efendiev, A transient density-dependent reaction-diffusion model for the limitation of antibiotic penetration in biofilms. Journal: Diff. Eqns. 10 (2003), 123-142.
M.A. Efendiev, Upper and lower semicontinuity of a stable set for rate independent processes. Eds.W.L.Wendland, M.A. Efendiev Lecture Notes in Applied and Computational Mechanics vol 12. (2003), 78-86, Springer-Verlag.
M.A. Efendiev, On the compactness of a stable set for rate independant processes, Journal: Comm.Pure and Appl.Analysis, vol.2, n4, 2003, 495-509
M.A. Efendiev, W.L. Wendland. Nonlinear Riemann-Hilbert problems with Lipschitz continous boundary data: doubly connected do- mains. Journal: Proceedings of the Royal Society, London, A, 459 (2003), 945-955.
M.A. Efendiev, S. Zelik, The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and its averaging, Journal: Adv.in Diff. Eqns, vol. 8, no. 6, (2003), 673-732.
M.A. Efendiev, A. Miranville, S. Zelik, Infinite-dimensional exponential attractors for nonlinear reaction-diffusion sysmtems in unbounded domains and their approximation. Journal: Royal. Soc. Lond. Philos. Trans Ser. A Math. Phys. Eng. Science,(2004), 460, 1107-1129.
M.A. Efendiev, J. Fuhrmann, S.V. Zelik, The long-time behaviour of the thermoconvective flow in a porous medium, Journal: Mathematical Methods in Applied Sciences, 2004,vol 27, N4,907-930.
M.A.Efendiev, A.Miranville, S.Zelik, Dissipative dynamical systems of infinite dimensions,Journal: Encyclopedia of Math. Physics.2004,vol 28,pp 12-32.
M.A. Efendiev, A. Miranville, S. Zelik. Exponential attractors for a singularly perturbed Cahn-Hilliard system Journal: Math. Nachr. 272 (2004),11-31
M.A. Efendiev, A. Miranville, S. Zelik. Exponential attractors for dissipative systems Journal: RIMS Kyoto, (2004), 13-27
M.A. Efendiev, A. Miranville, New models of Cahn-Hilliard-Gurtin equations. Journal:Continuum Mech. and Thermodyn,(2004), 16:441-451.
J. Busca, M.A. Efendiev, S. Zelik, Classification of positive solutions of semilinear equations. Journal: C.R. Acad. Sci. Paris I 338 (2004), 7-11.
M.A. Efendiev, A. Miranville, S. Zelik, Global and exponential attractors for nonlinear reaction-diffusion systems in unbounded domins.Journal: Proc. of the Royal Soc.Edinb., 134A (2004), N2, 271-315.
H. Berestycki, M.A. Efendiev, S. Zelik, Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains. Journal: Nonlinear Boundary Value Problems, 14, 2004, 3-15
M.A.Efendiev, Infinite dimensional dynamical systems:recent developments.Adress: to the Annual meetings of the Japaness Math. Society, 82-89, 2005, Okayama
Y.Takei, M. Efendiev, T. Tsujikawa, A. Yagi, Exponential attractor for an adsorbate-induced phase transition model in non smooth domain. Journal:Osaka Journal of Mathematics, 47(5), 212-233, 2005
M. Ajda, M. Efendiev, A. Yagi, Quasilinear abstract parabolic evolution equations and exponential attractors. Journal: Osaka J.Math.42(1), 101-132, 2005
M.A. Efendiev, A. Yagi, Continious dependence of exponential atractors for chemotaxis systems, Journal:Japan Mathematical Society.vol 57, No.1(2005), 167-181.
M.A. Efendiev, A. Miranville, S. Zelik, Exponential attractors and finitedimensional reduction for non-autonomous dynamical systems, Journal: Proceedings of the Royal Society of Edinburgh, 135A,703-730, 2005
M.A. Efendiev, A.J. Homburg, W.L. Wendland. The Borsuk-Ulam Theorem for Quasi-Ruled Fredholm Maps, Journal: Fixed-Point Theory, No7, 2006, 43-63
M. Ajda, M. Efendiev, T. Tsujikawa, M. Mimura, A. Yagi, Lower estimate of the attractor dimension for a chemotaxis system Journal:London Math. Society (2)74 (2006), 453-474
M. A. Efendiev, A. Mielke, On the rate-independent limit of systems with dry friction and small viscosity, Journal: Convex Analysis, vol.13(2006), No.1, 151-167
M.A. Efendiev, E. Nakaguchi,Upper and lower dim. estimate of the global attractor for chemotaxis-growth system: PartI, Journal: Advances in Math.Sciences and Applications, vol.16,No.2(2006),569-579
M.A. Efendiev, E. Nakaguchi,,Upper and lower dim. estimate of the global attractor for chemotaxis-growth system: PartII, Journal: Advances in Math.Sciences and Applications, vol.16, No.2(2006), 581-590.
M.A.Efendiev, M.Otani, Infinite-dimensional attractors for evolution equations with p-Laplacian and its Kolmogorov entropy, Journal: Differential and Integral Equations, vol.20, N11, (2007), 1201-1209.
M.A. Efendiev, E. Nakaguchi, W.L.Wendland, Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system, Journal: Discrete and Continous Dynamical Systems-S, 2007, 334-343.
M.A.Efendiev, On elliptic attractor in asymptotically symmetric unbounded domain in R⁴, Journal: Bulletin of London Math. Society, BLMS, 39,(2007), 911-920.
M. A. Efendiev, M.Klaere, R.Lasser, Dimension estimate of the exponential attractors for the chemotaxis-growth system, Journal: Mathematical Methods in Applied Sciences, vol.30, No5,579-594, 2007.
M.A.Efendiev, W.L.Wendland, Nonlinear Riemann-Hilbert problem with self-intersected boundary data (to appear)
I.Chueshov, M. Efendiev, A.Rekalo, Global attractor for interface parabolic problem with oscillating coefficients on thin two-layer domain(to appear).
M.A.Efendiev, A.Mielke, On energetical model for evolution in magnetostriction (in preparation).
M.A. Efendiev, G. Hebermehl, R. Lasser, Generalized necessary scaling condition and stability of chemical reactors with several educts (submit-ted).
M.A.Efendiev, M.Otani, On a class of doubly nonlinear degenerate parabolic equations and their attractors (in preparation)
M.A.Efendiev, M.Otani, On a some class of rate-independent models: infinite dimensional case (in preparation).
M.A.Efendiev, G. Akagi, On the robustness of the stable set for rateindependent processes (submitted).
M.A.Efendiev, P.Benevieri, Orientability and integer-valued degree (submitted).
M.A.Efendiev, H.Eberl, On a dimension of exponential attractors for some class of biofilm modelling (in preparation).
H.Eberl, M.A.Efendiev, H.Eberl, On a trajectory attractor for dynamical systems generated by some class of biofilm modelling (in preparation).
M.Efendiev, On the Lyapunov dimension of attractor for nonautonomous Navier-Stokes equation (submitted).
M.A.Efendiev,W.L.Wendland, On the degree of quasiruled Fredholm maps and nonlinear Riemann-Hilbert problem, Part I, Journal: Math.Analysis and Appl, 329 (2007) 383-391.
M.A.Efendiev, W.L.Wendland, On the degree of quasiruled Fredholm maps and nonlinear Riemann-Hilbert problem,Part II, Journal: Math. Analysis and Appl,329 (2007) 425-444.
M.A.Efendiev, W.L.Wendland, Nonlinear Riemann-Hilbert problem with discontinous boundary data,Journal:Math.Nachr., 280, N 9-10, 982-995, 2007.
M.A.Efendiev, L.A.Peletier,On entropy estimates for attractor of Swift-Hohenberg equation in unbounded domain, Journal:C. R. Acad. Sci. Paris, Ser.I 344, No2,(2007), 93-96.
M.A. Efendiev, M. Klaere, R. Lasser, Dimension estimate of the exponential attractors for the chemotaxis-growth system, Journal: Mathematical Methods in Applied Sciences, vol. 30, No5, 579-594, 2007.
H. Eberl, M.A. Efendiev, On a criteria verifying some bio-chemical models Journal: Proceeedings RIMS, Kyoto, vol. 1542, 92-101, 2007, Japan.
M.A. Efendiev, L. Demaret, H. Eberl, R. Lasser, Analysis and Simulation of a meso-scale model of diffusive resistance of bacterial biofilms to penetration of antibiotics, Journal: Advances in Mathematical Sciences and Applications, vol. 18, N1, 2008, 269-304.
M.A. Efendiev, E. Nakaguchi, K. Osaki, On the polynomial dimension estimate of exponential attractors for chemotaxis-growth system, Journal: Glasgow Journal of Mathematics, vol. 50,Part 2, 2008, 483-497.
M.A. Efendiev, E. Nakaguchi, On a new dimension estimate of the global attractor for the chemotaxis-growth system, Journal: Osaka Journal of Mathematics, vol. 45, N2, 2008, 273-281.
M.A. Efendiev, L. Demaret, On the structure of attractors for some class biofilm models, Journal: Advances in Mathematical Sciences and Applications, vol. 18, N1, 2008,105-118.
R. Czaja, M. A. Efendiev, A note on attractors with fractal dimension, Journal: BLMS, Bulletin London Math. Society, 40, 2008, 651-658.
M.A. Efendiev, H. Eberl , S.Zelik, Existence and long-time behaviour of biofilm model, Journal: Communications on Pure and Applied Analysis, vol. 8, Number 2, pp. 509-531 , 2009.
M. A.Efendiev, J.Müller , Classification of existence and non existence of running fronts in the case of fast diffusion,Journal: Adavances in Mathematical Sciences and Applications,vol. 19, N.1, pp. 1-8, 2009.
G. Carbou, M. A.Efendiev, P. Fabrie, Relaxed model for the hysteresis in micromagnetism , Journal: Proceedings of the Royal Society of Edinburgh, 139 A, 4, pp. 759- 773, 2009.
M. A.Efendiev, L. Demaret, H. Eberl, P.Maloszewski, A simple bioclogging model that accounts for spatial spreading of bacteria, Journal: Electronic Journal of differential Equations, 17, pp. 51-69, 2009.
M. A.Efendiev, H. Khassehkhan ,H. Eberl, A degenerate diffusion-reaction model of an amensalistic biofilm control system: Existence and simulation of solutions, Journal: Discrete and Continous Dynamical Systems-B, vol. 12, No. 2, pp 371-389, 2009
M.A. Efendiev, F. Hamel, L.Roques, Running frons for fast diffusion in heteregenous media (in preparation).
M. A.Efendiev, W.L. Wendland, Nonlinear Riemann-Hilbert problems for generalized analytic functions Journal: Functiones et Approximatio, 29, pp. 1-24, 2009.
M.A. Efendiev,T. Senba, On a well-posedness of biofilm model taking into account chemotaxis effect PreprintIBB, 2009.
M.A. Efendiev, T. Senba, On a dynamical scenario for biofilm models with chemotaxis, 2009 (in preparation).
M.A. Efendiev, H.Ibrahim, R. Monneau, Different profiles for semilinear elliptic equation in unbounded domain (in preparation).
M.A. Efendiev, F. Hamel, Asymptotic behaviour of solutions of semilinear elliptic equations in unbounded domains: two approaches (to appear 2010).
M. A.Efendiev, E. Nakaguchi, W. L.Wendland, Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite- element scheme, Journal: Journal of Mathematical Analysis and Applications, 358, pp. 136-147, 2009.
M.A.Efendiev, Fredhom Structures, Topological Invariants and Applications, Book: Publisher. American Institute of Mathematical Sciences, vol.3, 2009.
M.A. Efendiev, J. Cresson, S. Sonner, Necessary and Sufficient Conditions for the Positivity of Solutions of Systems of Stochastic PDEs, Journal: Math. Analysis and Applications, to appear, 2011.
M.A. Efendiev, E. Russ, Hardy spaces for the conjugated Beltrami equa- tion in a doubly-connected domain, Journal: Math. Analysis and Applications, to appear, 2011.
M.A. Efendiev, F. Hamel, Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches, Journal: to appear, Preprint IBB, 2010.
M.A. Efendiev, Infinite-dimensional global attractors for porous-medium equations: heterogenous medium, Journal: Mathematical Methods in the Applied Sciences, to appear, 2011
M. A. Efendiev, S. Eisenhofer, Dimension estimate without subordinated term for 2D Navier-Stokes system in a strip: non-autonomous case, Journal: in preparation, Preprint IBB, 2011.
M.A. Efendiev, T. Senba, Dissipative estimate for a class of PDEs includ- ing porous medium and chemotaxis effect (in preparation).
M.A. Efendiev, A. Zhigun, On a "balance" condition for a class of PDEs including porous medium and chemotaxis effect: non-autonomus case, Preprint IBB, 2011.
M.A. Efendiev, A. Zhigun, Dissipative estimate for a class of PDEs in- cluding porous medium and chemotaxis effect: non-autonomous case (in preparation).
M.A. Efendiev, Note on trajectory attractors for elliptic equations in un- bounded domains, Journal: International Journal of Biomathematics and Biostatistics, 2011, vol. 2, 141-150.
M.A. Efendiev, S. Zelik, Global attractor and stabilization for a coupled PDE-ODE system, Preprint IBB, 2011.
M.A. Efendiev, Infinite-dimensional exponential attractors for fourth or- der nonlinear parabolic equations in unbounded domains, Journal: Mathematical Methods in the Applied Sciences, DOI: 10.1002/- mma.1412, 2011.
S. Sonner, M.A. Efendiev, H. Eberl, On the well-posedness of a mathe- matical model of quorum-sensing in patchy biofilm communities, Journal: Mathematical Methods in the Applied Sciences, DOI:10.1012/- mma.1475, 2011.
G. Carbou, M.A. Efendiev, P. Fabrie, Global weak solutions for the Landau- Lifschitz equation with magnetostriction, Journal: Mathematical Methods in the Applied Sciences, DOI:1012/- mma.1440, 2011.
M.A. Efendiev, M. Otani, Infinite dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium, Journal: Ann. Inst. Henri Poincare, doi:10.1016/j.anihpc.2011.03.006, pp. 1-18, Communicated by J. Ball, 2011
M.A. Efendiev, Y. Yamamoto, A. Yagi, Exponential attractors for non- autonomous dissipative system, Journal: Journal of Math. Society of Japan, vol.63, No. 2, 2011, pp. 647-673.
R. Czaja, M.A. Efendiev, Pullback exponential attractors for nonautonomous equations, Part I: Semilinear parabolic problems, Journal: Math. Analysis and Applications, 381, 2011, pp. 748-765
R. Czaja, M.A. Efendiev, Pullback exponential attractors for nonautonomous equations, Part II: Applications to reaction-diffusion systems, Journal: Math. Analysis and Applications, 381, 2011, pp. 766-780.

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