Edit Profile (opens in new tab) Efendiev, Messoud Co-Author Distance Author ID: efendiev.messoud Published as: Efendiev, Messoud; Efendiev, M. A.; Efendiev, Messoud A.; Èfendiev, M. A.; Efendiev, M. more...less Further Spellings: Əfəndiyev, Məsud Homepage: https://www.helmholtz-munich.de/icb/institute/staff/messoud-efendiyev/start/inde... External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 145 Publications since 1976, including 7 Books and 2 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 4,390 Reviews Biographic References: 1 Publication Co-Authors: 71 Co-Authors with 119 Joint Publications 2,708 Co-Co-Authors all top 5 Co-Authors 28 single-authored 18 Wendland, Wolfgang L. 18 Zelik, Sergey V. 12 Eberl, Hermann J. 12 Vougalter, Vitali 11 Miranville, Alain M. 7 Nakaguchi, Etsushi 7 Ôtani, Mitsuharu 6 Zhigun, Anna 5 Sonner, Stefanie 5 Yagi, Atsushi 4 Schuppert, Andreas A. 3 Czaja, Radosław 3 Demaret, Laurent 3 Fiedler, Bernold 3 Lasser, Rupert 2 Aida, Masashi 2 Begehr, Heinrich 2 Carbou, Gilles 2 Chepyzhov, Vladimir V. 2 Fabrie, Pierre 2 Murley, Jonathan 2 Senba, Takasi 2 Tsujikawa, Tohru 2 van Brunt, Bruce 2 Wu, Jianhong 2 Zaidi, Ali Ashher 2 Zischka, Hans 1 Akagi, Goro 1 Berestycki, Henri 1 Busca, Jérôme 1 Cresson, Jacky 1 Dancer, Edward Norman 1 Du, Yihong 1 Eisenhofer, Sabine 1 Feng, Lirui 1 Fernandes, Denis 1 Fuhrmann, Jürgen 1 Gabitov, Ildar R. 1 Gajewski, Herbert 1 Hamel, François 1 Hernández, Eduardo M. 1 Homburg, Ale Jan 1 Infante, Gennaro 1 Khassehkhan, Hassan 1 Kläre, Michael 1 Lutscher, Frithjof 1 Maksudov, Faramaz Gazanfar 1 Maloszewski, Piotr 1 Mielke, Alexander 1 Mimura, Masayasu 1 Müller, Johannes 1 Muradov, Nijat 1 Muradova, Antiga 1 Osaki, Koichi 1 Peletier, Lambertus Adrianus 1 Popova, Elena N. 1 Rademacher, Jens Diederich Michael 1 Russ, Emmanuel 1 Scheel, Arnd 1 Schmitz, Hermann 1 Schulz, Sabine 1 Shah, Touqeer H. 1 Takei, Yasuhiro 1 Temam, Roger Meyer 1 Wake, Graeme Charles 1 Wang, Xiaoying 1 Wegert, Elias 1 Wolfrum, Matthias 1 Wrzosek, Dariusz M. 1 Yamamoto, Yoshitaka 1 Zhang, Xue all top 5 Serials 12 Mathematical Methods in the Applied Sciences 11 Advances in Mathematical Sciences and Applications 9 Izvestiya Akademii Nauk Azerbaidzhanskoi SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk 7 Journal of Mathematical Analysis and Applications 6 Discrete and Continuous Dynamical Systems 4 Mathematische Nachrichten 4 Osaka Journal of Mathematics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Journal of Differential Equations 3 Journal of the Mathematical Society of Japan 3 Soviet Mathematics. Doklady 3 Electronic Journal of Differential Equations (EJDE) 3 Advances in Differential Equations 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications on Pure and Applied Mathematics 2 Bulletin of Mathematical Biology 2 Bulletin of the London Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Dynamics and Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 International Journal of Biomathematics and Biostatistics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR 1 SIAM Journal on Mathematical Analysis 1 Continuum Mechanics and Thermodynamics 1 Topological Methods in Nonlinear Analysis 1 Journal of Convex Analysis 1 Communications in Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Electronic Journal of Qualitative Theory of Differential Equations 1 RIMS Kokyuroku 1 Nonlinear Boundary Value Problems 1 Advanced Nonlinear Studies 1 Fixed Point Theory 1 Fields Institute Monographs 1 ISNM. International Series of Numerical Mathematics 1 Mathematical Surveys and Monographs 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Lecture Notes in Applied and Computational Mechanics 1 AIMS Series on Differential Equations and Dynamical Systems 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Mathematical Physics 1 European Journal of Mathematics 1 Electronic Research Archive all top 5 Fields 108 Partial differential equations (35-XX) 44 Dynamical systems and ergodic theory (37-XX) 43 Biology and other natural sciences (92-XX) 27 Functions of a complex variable (30-XX) 23 Operator theory (47-XX) 9 Fluid mechanics (76-XX) 8 Integral equations (45-XX) 6 Numerical analysis (65-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 1,111 times in 643 Documents Cited by ▼ Year ▼ Exponential attractors for a nonlinear reaction-diffusion system in \(\mathbb R^3\). Zbl 1151.35315 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 126 2000 Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems. Zbl 1088.37005 Efendiev, M.; Zelik, S.; Miranville, A. 79 2005 The attractor for a nonlinear reaction-diffusion system in an unbounded domain. Zbl 1041.35016 Efendiev, M. A.; Zelik, S. V. 72 2001 On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040 Efendiev, Messoud A.; Mielke, Alexander 61 2006 Exponential attractors for a singularly perturbed Cahn-Hilliard system. Zbl 1046.37047 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 53 2004 Lower estimate of the attractor dimension for a chemotaxis growth system. Zbl 1125.37056 Aida, Masashi; Tsujikawa, Tohru; Efendiev, Messoud; Yagi, Atsushi; Mimura, Masayasu 49 2006 Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems. Zbl 1233.35041 Czaja, Radoslaw; Efendiev, Messoud 35 2011 Finite- and infinite-dimensional attractors for porous media equations. Zbl 1132.37027 Efendiev, M.; Zelik, S. 26 2008 Existence and longtime behavior of a biofilm model. Zbl 1175.35017 Efendiev, Messoud A.; Zelik, Sergey; Eberl, Hermann J. 26 2009 Exponential attractors for non-autonomous dissipative system. Zbl 1218.37111 Efendiev, Messoud; Yamamoto, Yoshitaka; Yagi, Atsushi 23 2011 Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization. Zbl 1036.35038 Efendiev, M.; Zelik, S. 21 2002 Finite-dimensional attractors and exponential attractors for degenerate doubly nonlinear equations. Zbl 1178.34060 Efendiev, M.; Zelik, S. 18 2009 Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain. Zbl 1258.35036 Efendiev, M. A.; Zelik, S. V. 17 2002 Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example. Zbl 1022.37048 Chepyzhov, V. V.; Efendiev, M. A. 16 2000 The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and its averaging. Zbl 1030.35016 Efendiev, M.; Zelik, S. 16 2003 Infinite-dimensional attractors for evolution equations with \(p\)-Laplacian and their Kolmogorov entropy. Zbl 1212.37081 Efendiev, Messoud A.; Ôtani, Mitsuharu 15 2007 Finite and infinite dimensional attractors for evolution equations of mathematical physics. Zbl 1233.37002 Efendiev, Messoud 14 2010 Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system. Zbl 1025.37043 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 14 2003 On the large time behavior of solutions of fourth order parabolic equations and \(\varepsilon\)-entropy of their attractors. Zbl 1109.35019 Efendiev, M. A.; Peletier, L. A. 13 2007 Finite-dimensional attractors for reaction-diffusion equations in \(\mathbb{R}^n\) with a strong nonlinearity. Zbl 0959.35025 Efendiev, Messoud; Miranville, Alain 13 1999 A degenerate diffusion-reaction model of an amensalistic biofilm control system: existence and simulation of solutions. Zbl 1183.35160 Khassehkhan, Hassan; Efendiev, Messoud A.; Eberl, Hermann J. 13 2009 Fredholm structures, topological invariant and applications. Zbl 1189.47001 Efendiev, Messoud 12 2009 Nonlinear Riemann-Hilbert problems for multiply connected domains. Zbl 0926.47040 Efendiev, M. A.; Wendland, Wolfgang L. 12 1996 Analysis and simulation of a meso-scale model of diffusive resistance of bacterial biofilms to penetration of antibiotics. Zbl 1166.35341 Demaret, Laurent; Eberl, Hermann; Efendiev, Messoud; Lasser, Ruppert 12 2008 On a new dimension estimate of the global attractor for chemotaxis-growth systems. Zbl 1160.37034 Nakaguchi, Etsushi; Efendiev, Messoud 12 2008 Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102 Dancer, E. N.; Du, Yihong; Efendiev, Messoud 12 2013 Infinite-dimensional attractors for parabolic equations with \(p\)-Laplacian in heterogeneous medium. Zbl 1242.35159 Efendiev, Messoud A.; Ôtani, Mitsuharu 11 2011 Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation. Zbl 1072.35045 Efendiev, M.; Miranville, A.; Zelik, S. 11 2004 Solvability in the sense of sequences for some fourth order non-Fredholm operators. Zbl 1455.35075 Efendiev, Messoud; Vougalter, Vitali 11 2021 The dimension of the global attractor for dissipative reaction-diffusion systems. Zbl 1041.37039 Efendiev, M.; Miranville, A. 10 2003 Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. Zbl 1065.37056 Efendiev, Messoud; Yagi, Atsushi 10 2005 Solvability of some integro-differential equations with drift. Zbl 1501.47122 Efendiev, Messoud; Vougalter, Vitali 10 2020 On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities. Zbl 1221.35214 Sonner, Stefanie; Efendiev, Messoud A.; Eberl, Hermann J. 9 2011 Global weak solutions for the Landau-Lifschitz equation with magnetostriction. Zbl 1219.35297 Carbou, G.; Efendiev, M. A.; Fabrie, P. 9 2011 Attractors for degenerate parabolic type equations. Zbl 1292.35003 Efendiev, Messoud 9 2013 On the asymptotics of meromophic solutions for nonlinear Riemann-Hilbert problems. Zbl 0949.35105 Begehr, H.; Efendiev, M. A. 8 1999 Quasilinear abstract parabolic evolution equations and exponential attractors. Zbl 1073.37090 Aida, Masashi; Efendiev, Messoud; Yagi, Atsushi 8 2005 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion. Zbl 1510.45009 Efendiev, Messoud; Vougalter, Vitali 8 2021 Evolution equations arising in the modelling of life sciences. Zbl 1276.92003 Efendiev, Messoud 8 2013 Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data. Zbl 1029.30024 Efendiev, M. A.; Wendland, W. L. 7 2001 Global and exponential attractors for nonlinear reaction-diffusion systems in unbounded domains. Zbl 1149.37328 Efendiev, M.; Miranville, A.; Zelik, S. 7 2004 Pullback exponential attractors for nonautonomous equations. II: Applications to reaction-diffusion systems. Zbl 1298.35019 Czaja, Radoslaw; Efendiev, Messoud 7 2011 The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity. Zbl 1035.35019 Efendiev, M. A.; Gajewski, H.; Zelik, S. 7 2002 On the well posedness of a class of PDEs including porous medium and chemotaxis effect. Zbl 1231.35088 Efendiev, Messoud; Senba, Takasi 6 2011 Relaxed model for the hysteresis in micromagnetism. Zbl 1167.82370 Carbou, G.; Efendiev, M. A.; Fabrie, P. 6 2009 Nonlinear Riemann-Hilbert problems for generalized analytic functions. Zbl 1192.30010 Efendiev, Messoud A.; Wendland, Wolfgang L. 6 2009 On the well-posedness of mathematical models for multicomponent biofilms. Zbl 1335.35259 Sonner, Stefanie; Efendiev, Messoud A.; Eberl, Hermann J. 6 2015 Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches. Zbl 1226.35034 Efendiev, Messoud; Hamel, François 5 2011 Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system. Zbl 1163.37396 Efendiev, M.; Nakaguchi, E.; Wendland, W. L. 5 2007 Nonlinear Riemann-Hilbert problems without transversality. Zbl 0876.45003 Efendiev, M. A.; Wendland, Wolfgang L. 5 1997 A transient density-dependent diffusion-reaction model for the limitation of antibiotic penetration in biofilms. Zbl 1014.92039 Eberl, Hermann J.; Efendiev, Messoud A. 5 2003 Linear and nonlinear non-Fredholm operators and their applications. Zbl 1489.35055 Efendiev, Messoud; Vougalter, Vitali 5 2022 Analysis of a degenerate biofilm model with a nutrient taxis term. Zbl 1277.35225 Eberl, Hermann J.; Efendiev, Messoud A.; Wrzosek, Dariusz; Zhigun, Anna 5 2014 Mathematical analysis of a PDE-ODE coupled model of mitochondrial swelling with degenerate calcium ion diffusion. Zbl 1429.35139 Efendiev, Messoud A.; Otani, Mitsuharu; Eberl, Hermann J. 5 2020 Hardy spaces for the conjugated Beltrami equation in a doubly connected domain. Zbl 1222.42026 Efendiev, Messoud; Russ, Emmanuel 4 2011 On a ‘balance’ condition for a class of PDEs including porous medium and chemotaxis effect: non-autonomous case. Zbl 1239.35079 Efendiev, Messoud; Zhigun, Anna 4 2011 A functional partial differential equation arising in a cell growth model with dispersion. Zbl 1390.35117 Efendiev, Messoud; van Brunt, Bruce; Wake, Graeme C.; Zaidi, Ali Ashher 4 2018 On some nonlinear potential problems. Zbl 0923.35058 Efendiev, M. A.; Schmitz, Hermann; Wendland, Wolfgang L. 4 1999 On the compactness of the stable set for rate-independent processes. Zbl 1060.47061 Efendiev, M. A. 4 2003 Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data: doubly connected domains. Zbl 1099.30028 Efendiev, M. A.; Wendland, W. L. 4 2003 New models of Cahn-Hilliard-Gurtin equations. Zbl 1100.74003 Efendiev, M.; Miranville, A. 4 2004 On the structure of attractors for a class of degenerate reaction-diffusion systems. Zbl 1172.35037 Efendiev, M. A.; Demaret, L. 4 2008 Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains. Zbl 1218.35044 Efendiev, Messoud 4 2011 Dimension estimate of the exponential attractor for the chemotaxis-growth system. Zbl 1158.35017 Efendiev, Messoud; Nakaguchi, Etsushi; Osaki, Koichi 4 2008 On an ODE-PDE coupling model of the mitochondrial swelling process. Zbl 1307.35045 Eisenhofer, Sabine; Efendiev, Messoud A.; Ôtani, Mitsuharu; Schulz, Sabine; Zischka, Hans 4 2015 On the positivity of solutions of systems of stochastic PDEs. Zbl 1278.60101 Cresson, Jacky; Efendiev, Messoud; Sonner, Stefanie 4 2013 Existence of solutions for some systems of integro-differential equations with transport and superdiffusion. Zbl 1497.35102 Efendiev, Messoud; Vougalter, Vitali 4 2022 Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system. II: Two-dimensional case. Zbl 1130.37403 Efendiev, Messoud; Nakaguchi, Etsushi 3 2006 Nonlinear Riemann-Hilbert problems with Lipschitz continuous boundary condition. Zbl 0958.35097 Wegert, E.; Efendiev, M. A. 3 2000 Mathematical analysis of an in vivo model of mitochondrial swelling. Zbl 1360.35024 Efendiev, Messoud; Ôtani, Mitsuharu; Eberl, Hermann J. 3 2017 A note on attractors with finite fractal dimension. Zbl 1152.37031 Czaja, Radoslaw; Efendiev, Messoud 3 2008 Infinite dimensional attractors for porous medium equations in heterogeneous medium. Zbl 1250.76158 Efendiev, Messoud 3 2012 How spatial heterogeneity affects transient behavior in reaction-diffusion systems for ecological interactions? Zbl 1437.92161 Wang, Xiaoying; Efendiev, Messoud; Lutscher, Frithjof 3 2019 Symmetrization and stabilization of solutions of nonlinear elliptic equations. Zbl 1445.35005 Efendiev, Messoud 3 2018 Verification of biomedical processes with anomalous diffusion, transport and interaction of species. Zbl 1483.35285 Efendiev, Messoud; Vougalter, Vitali 3 2021 Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system. I. Zbl 1130.37402 Efendiev, Messoud; Nakaguchi, Etsushi 2 2006 A simple bioclogging model that accounts for spatial spreading of bacteria. Zbl 1170.35466 Demaret, Laurent; Eberl, Hermann J.; Efendiev, Messoud A.; Maloszewski, Piotr 2 2009 Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement. Zbl 1387.35335 Efendiev, Messoud A.; Ôtani, Mitsuharu; Eberl, Hermann J. 2 2018 Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme. Zbl 1172.92311 Efendiev, Messoud; Nakaguchi, Etsushi; Wendland, Wolfgang L. 2 2009 Classification of positive solutions of semilinear elliptic equations. Zbl 1048.35020 Busca, Jérôme; Efendiev, Messoud; Zelik, S. 2 2004 The long-time behaviour of the thermoconvective flow in a porous medium. Zbl 1156.37323 Efendiev, M. A.; Fuhrmann, J.; Zelik, S. V. 2 2004 On a property of conjugate integrals and nonlinear Hilbert problem with non-compact conditions in the disk. Zbl 0588.30040 Èfendiev, M. A. 2 1984 On a global uniform pullback attractor of a class of PDEs with degenerate diffusion and chemotaxis in one dimension. Zbl 1314.35004 Efendiev, Messoud; Zhigun, Anna 2 2013 Allen-Cahn equation with strong irreversibility. Zbl 1427.35110 Akagi, Goro; Efendiev, Messoud 2 2019 On verifying mathematical models with diffusion, transport and interaction. Zbl 1219.35016 Efendiev, Messoud; Sonner, Stefanie 2 2010 Asymmetric cell division with stochastic growth rate. dedicated to the memory of the late Spartak Agamirzayev. Zbl 1405.35070 Efendiev, Messoud; van Brunt, Bruce; Zaidi, Ali A.; Shah, Touqeer H. 2 2018 On a property of the conjugate integral, and a nonlinear Hilbert problem. Zbl 0639.30036 Èfendiev, M. A. 1 1987 Geometrical properties of nonlinear maps and their application. I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains. Zbl 1108.47052 Efendiev, M. A.; Wendland, W. L. 1 2007 Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann–Hilbert problems with closed boundary data for multiply connected domains. Zbl 1108.47053 Efendiev, M. A.; Wendland, W. L. 1 2007 Dimension estimate of the exponential attractor for the chemotaxis-growth system. Zbl 1113.92008 Efendiev, Messoud; Kläre, Michael; Lasser, Rupert 1 2007 On nonlinear Riemann-Hilbert problems with discontinuous boundary condition. Zbl 1162.30026 Efendiev, M. A.; Wendland, W. L. 1 2007 “Topologically nontrivial” and meromorphic solutions of a nonlinear Hilbert problem for a multiply connected domain. Zbl 0529.30035 Èfendiev, M. A. 1 1982 Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in \(\mathbf R^n\). Zbl 0951.35502 Efendiev, M. A.; Scheel, A. 1 1999 On a new variant degree theory of mapping and its application. Zbl 0851.47042 Efendiev, M. A. 1 1996 Non-linear Hilbert problem for meromorphic functions in the disk. Zbl 0358.30027 Èfendiev, M. A. 1 1976 Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data without transversality. Zbl 1042.30506 Efendiev, M. A.; Wendland, W. L. 1 2001 Exponential attractor for an adsorbate-induced phase transition model in non smooth domain. Zbl 1135.37030 Takei, Yasuhiro; Efendiev, Messoud; Tsujikawa, Tohru; Yagi, Atsushi 1 2006 Comparison of approximation schemes for chemotaxis-growth system via dimensions of global attractors. Zbl 1158.92045 Nakaguchi, Etsushi; Efendiev, Messoud; Wendland, Wolfgang L. 1 2008 A nonlinear Hilbert problem for a doubly connected domain. Zbl 0617.30050 Maksudov, F. G.; Èfendiev, M. A. 1 1987 New generalizations of the Cahn-Hilliard equation based on a microforce balance. Zbl 1095.74004 Miranville, Alain; Efendiev, Messoud 1 2003 Linear and nonlinear non-Fredholm operators and their applications. Zbl 1489.35055 Efendiev, Messoud; Vougalter, Vitali 5 2022 Existence of solutions for some systems of integro-differential equations with transport and superdiffusion. Zbl 1497.35102 Efendiev, Messoud; Vougalter, Vitali 4 2022 Solvability in the sense of sequences for some fourth order non-Fredholm operators. Zbl 1455.35075 Efendiev, Messoud; Vougalter, Vitali 11 2021 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion. Zbl 1510.45009 Efendiev, Messoud; Vougalter, Vitali 8 2021 Verification of biomedical processes with anomalous diffusion, transport and interaction of species. Zbl 1483.35285 Efendiev, Messoud; Vougalter, Vitali 3 2021 Dimension estimate of uniform attractor for a model of high intensity focussed ultrasound-induced thermotherapy. Zbl 1470.92139 Efendiev, M. A.; Murley, J.; Sivaloganathan, S. 1 2021 Solvability of some integro-differential equations with drift. Zbl 1501.47122 Efendiev, Messoud; Vougalter, Vitali 10 2020 Mathematical analysis of a PDE-ODE coupled model of mitochondrial swelling with degenerate calcium ion diffusion. Zbl 1429.35139 Efendiev, Messoud A.; Otani, Mitsuharu; Eberl, Hermann J. 5 2020 A coupled PDE model of high intensity ultrasound heating of biological tissue. I: Well-posedness. Zbl 1475.35350 Efendiev, M. A.; Murley, J.; Sivaloganathan, S. 1 2020 How spatial heterogeneity affects transient behavior in reaction-diffusion systems for ecological interactions? Zbl 1437.92161 Wang, Xiaoying; Efendiev, Messoud; Lutscher, Frithjof 3 2019 Allen-Cahn equation with strong irreversibility. Zbl 1427.35110 Akagi, Goro; Efendiev, Messoud 2 2019 A functional partial differential equation arising in a cell growth model with dispersion. Zbl 1390.35117 Efendiev, Messoud; van Brunt, Bruce; Wake, Graeme C.; Zaidi, Ali Ashher 4 2018 Symmetrization and stabilization of solutions of nonlinear elliptic equations. Zbl 1445.35005 Efendiev, Messoud 3 2018 Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement. Zbl 1387.35335 Efendiev, Messoud A.; Ôtani, Mitsuharu; Eberl, Hermann J. 2 2018 Asymmetric cell division with stochastic growth rate. dedicated to the memory of the late Spartak Agamirzayev. Zbl 1405.35070 Efendiev, Messoud; van Brunt, Bruce; Zaidi, Ali A.; Shah, Touqeer H. 2 2018 Mathematical modeling of mitochondrial swelling. Zbl 1406.92003 Efendiev, Messoud 1 2018 Mathematical analysis of an in vivo model of mitochondrial swelling. Zbl 1360.35024 Efendiev, Messoud; Ôtani, Mitsuharu; Eberl, Hermann J. 3 2017 On the well-posedness of mathematical models for multicomponent biofilms. Zbl 1335.35259 Sonner, Stefanie; Efendiev, Messoud A.; Eberl, Hermann J. 6 2015 On an ODE-PDE coupling model of the mitochondrial swelling process. Zbl 1307.35045 Eisenhofer, Sabine; Efendiev, Messoud A.; Ôtani, Mitsuharu; Schulz, Sabine; Zischka, Hans 4 2015 Analysis of a degenerate biofilm model with a nutrient taxis term. Zbl 1277.35225 Eberl, Hermann J.; Efendiev, Messoud A.; Wrzosek, Dariusz; Zhigun, Anna 5 2014 On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1348.35036 Efendiev, Messoud; Zhigun, Anna; Senba, Takasi 1 2014 Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102 Dancer, E. N.; Du, Yihong; Efendiev, Messoud 12 2013 Attractors for degenerate parabolic type equations. Zbl 1292.35003 Efendiev, Messoud 9 2013 Evolution equations arising in the modelling of life sciences. Zbl 1276.92003 Efendiev, Messoud 8 2013 On the positivity of solutions of systems of stochastic PDEs. Zbl 1278.60101 Cresson, Jacky; Efendiev, Messoud; Sonner, Stefanie 4 2013 On a global uniform pullback attractor of a class of PDEs with degenerate diffusion and chemotaxis in one dimension. Zbl 1314.35004 Efendiev, Messoud; Zhigun, Anna 2 2013 On a global uniform pull-back attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1302.35062 Efendiev, Messoud; Zhigun, Anna 1 2013 Infinite dimensional attractors for porous medium equations in heterogeneous medium. Zbl 1250.76158 Efendiev, Messoud 3 2012 Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems. Zbl 1233.35041 Czaja, Radoslaw; Efendiev, Messoud 35 2011 Exponential attractors for non-autonomous dissipative system. Zbl 1218.37111 Efendiev, Messoud; Yamamoto, Yoshitaka; Yagi, Atsushi 23 2011 Infinite-dimensional attractors for parabolic equations with \(p\)-Laplacian in heterogeneous medium. Zbl 1242.35159 Efendiev, Messoud A.; Ôtani, Mitsuharu 11 2011 On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities. Zbl 1221.35214 Sonner, Stefanie; Efendiev, Messoud A.; Eberl, Hermann J. 9 2011 Global weak solutions for the Landau-Lifschitz equation with magnetostriction. Zbl 1219.35297 Carbou, G.; Efendiev, M. A.; Fabrie, P. 9 2011 Pullback exponential attractors for nonautonomous equations. II: Applications to reaction-diffusion systems. Zbl 1298.35019 Czaja, Radoslaw; Efendiev, Messoud 7 2011 On the well posedness of a class of PDEs including porous medium and chemotaxis effect. Zbl 1231.35088 Efendiev, Messoud; Senba, Takasi 6 2011 Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches. Zbl 1226.35034 Efendiev, Messoud; Hamel, François 5 2011 Hardy spaces for the conjugated Beltrami equation in a doubly connected domain. Zbl 1222.42026 Efendiev, Messoud; Russ, Emmanuel 4 2011 On a ‘balance’ condition for a class of PDEs including porous medium and chemotaxis effect: non-autonomous case. Zbl 1239.35079 Efendiev, Messoud; Zhigun, Anna 4 2011 Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains. Zbl 1218.35044 Efendiev, Messoud 4 2011 Finite and infinite dimensional attractors for evolution equations of mathematical physics. Zbl 1233.37002 Efendiev, Messoud 14 2010 On verifying mathematical models with diffusion, transport and interaction. Zbl 1219.35016 Efendiev, Messoud; Sonner, Stefanie 2 2010 Necessary and sufficient conditions for an infinite system of parabolic equations preserving the positive cone. Zbl 1320.35349 Efendiev, M. A.; Lasser, R.; Sonner, S. 1 2010 Existence and longtime behavior of a biofilm model. Zbl 1175.35017 Efendiev, Messoud A.; Zelik, Sergey; Eberl, Hermann J. 26 2009 Finite-dimensional attractors and exponential attractors for degenerate doubly nonlinear equations. Zbl 1178.34060 Efendiev, M.; Zelik, S. 18 2009 A degenerate diffusion-reaction model of an amensalistic biofilm control system: existence and simulation of solutions. Zbl 1183.35160 Khassehkhan, Hassan; Efendiev, Messoud A.; Eberl, Hermann J. 13 2009 Fredholm structures, topological invariant and applications. Zbl 1189.47001 Efendiev, Messoud 12 2009 Relaxed model for the hysteresis in micromagnetism. Zbl 1167.82370 Carbou, G.; Efendiev, M. A.; Fabrie, P. 6 2009 Nonlinear Riemann-Hilbert problems for generalized analytic functions. Zbl 1192.30010 Efendiev, Messoud A.; Wendland, Wolfgang L. 6 2009 A simple bioclogging model that accounts for spatial spreading of bacteria. Zbl 1170.35466 Demaret, Laurent; Eberl, Hermann J.; Efendiev, Messoud A.; Maloszewski, Piotr 2 2009 Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme. Zbl 1172.92311 Efendiev, Messoud; Nakaguchi, Etsushi; Wendland, Wolfgang L. 2 2009 Finite- and infinite-dimensional attractors for porous media equations. Zbl 1132.37027 Efendiev, M.; Zelik, S. 26 2008 Analysis and simulation of a meso-scale model of diffusive resistance of bacterial biofilms to penetration of antibiotics. Zbl 1166.35341 Demaret, Laurent; Eberl, Hermann; Efendiev, Messoud; Lasser, Ruppert 12 2008 On a new dimension estimate of the global attractor for chemotaxis-growth systems. Zbl 1160.37034 Nakaguchi, Etsushi; Efendiev, Messoud 12 2008 On the structure of attractors for a class of degenerate reaction-diffusion systems. Zbl 1172.35037 Efendiev, M. A.; Demaret, L. 4 2008 Dimension estimate of the exponential attractor for the chemotaxis-growth system. Zbl 1158.35017 Efendiev, Messoud; Nakaguchi, Etsushi; Osaki, Koichi 4 2008 A note on attractors with finite fractal dimension. Zbl 1152.37031 Czaja, Radoslaw; Efendiev, Messoud 3 2008 Comparison of approximation schemes for chemotaxis-growth system via dimensions of global attractors. Zbl 1158.92045 Nakaguchi, Etsushi; Efendiev, Messoud; Wendland, Wolfgang L. 1 2008 Infinite-dimensional attractors for evolution equations with \(p\)-Laplacian and their Kolmogorov entropy. Zbl 1212.37081 Efendiev, Messoud A.; Ôtani, Mitsuharu 15 2007 On the large time behavior of solutions of fourth order parabolic equations and \(\varepsilon\)-entropy of their attractors. Zbl 1109.35019 Efendiev, M. A.; Peletier, L. A. 13 2007 Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system. Zbl 1163.37396 Efendiev, M.; Nakaguchi, E.; Wendland, W. L. 5 2007 Geometrical properties of nonlinear maps and their application. I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains. Zbl 1108.47052 Efendiev, M. A.; Wendland, W. L. 1 2007 Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann–Hilbert problems with closed boundary data for multiply connected domains. Zbl 1108.47053 Efendiev, M. A.; Wendland, W. L. 1 2007 Dimension estimate of the exponential attractor for the chemotaxis-growth system. Zbl 1113.92008 Efendiev, Messoud; Kläre, Michael; Lasser, Rupert 1 2007 On nonlinear Riemann-Hilbert problems with discontinuous boundary condition. Zbl 1162.30026 Efendiev, M. A.; Wendland, W. L. 1 2007 On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040 Efendiev, Messoud A.; Mielke, Alexander 61 2006 Lower estimate of the attractor dimension for a chemotaxis growth system. Zbl 1125.37056 Aida, Masashi; Tsujikawa, Tohru; Efendiev, Messoud; Yagi, Atsushi; Mimura, Masayasu 49 2006 Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system. II: Two-dimensional case. Zbl 1130.37403 Efendiev, Messoud; Nakaguchi, Etsushi 3 2006 Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system. I. Zbl 1130.37402 Efendiev, Messoud; Nakaguchi, Etsushi 2 2006 Exponential attractor for an adsorbate-induced phase transition model in non smooth domain. Zbl 1135.37030 Takei, Yasuhiro; Efendiev, Messoud; Tsujikawa, Tohru; Yagi, Atsushi 1 2006 Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems. Zbl 1088.37005 Efendiev, M.; Zelik, S.; Miranville, A. 79 2005 Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. Zbl 1065.37056 Efendiev, Messoud; Yagi, Atsushi 10 2005 Quasilinear abstract parabolic evolution equations and exponential attractors. Zbl 1073.37090 Aida, Masashi; Efendiev, Messoud; Yagi, Atsushi 8 2005 Exponential attractors for a singularly perturbed Cahn-Hilliard system. Zbl 1046.37047 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 53 2004 Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation. Zbl 1072.35045 Efendiev, M.; Miranville, A.; Zelik, S. 11 2004 Global and exponential attractors for nonlinear reaction-diffusion systems in unbounded domains. Zbl 1149.37328 Efendiev, M.; Miranville, A.; Zelik, S. 7 2004 New models of Cahn-Hilliard-Gurtin equations. Zbl 1100.74003 Efendiev, M.; Miranville, A. 4 2004 Classification of positive solutions of semilinear elliptic equations. Zbl 1048.35020 Busca, Jérôme; Efendiev, Messoud; Zelik, S. 2 2004 The long-time behaviour of the thermoconvective flow in a porous medium. Zbl 1156.37323 Efendiev, M. A.; Fuhrmann, J.; Zelik, S. V. 2 2004 Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains. Zbl 1107.35349 Berestycki, H.; Efendiev, M.; Zelik, S. 1 2004 The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and its averaging. Zbl 1030.35016 Efendiev, M.; Zelik, S. 16 2003 Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system. Zbl 1025.37043 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 14 2003 The dimension of the global attractor for dissipative reaction-diffusion systems. Zbl 1041.37039 Efendiev, M.; Miranville, A. 10 2003 A transient density-dependent diffusion-reaction model for the limitation of antibiotic penetration in biofilms. Zbl 1014.92039 Eberl, Hermann J.; Efendiev, Messoud A. 5 2003 On the compactness of the stable set for rate-independent processes. Zbl 1060.47061 Efendiev, M. A. 4 2003 Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data: doubly connected domains. Zbl 1099.30028 Efendiev, M. A.; Wendland, W. L. 4 2003 New generalizations of the Cahn-Hilliard equation based on a microforce balance. Zbl 1095.74004 Miranville, Alain; Efendiev, Messoud 1 2003 Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization. Zbl 1036.35038 Efendiev, M.; Zelik, S. 21 2002 Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain. Zbl 1258.35036 Efendiev, M. A.; Zelik, S. V. 17 2002 The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity. Zbl 1035.35019 Efendiev, M. A.; Gajewski, H.; Zelik, S. 7 2002 On boundary-layer-type solutions of nonlinear Riemann-Hilbert problems and related geometric structures. Zbl 1004.30027 Efendiev, M. A.; Wendland, W. L. 1 2002 The attractor for a nonlinear reaction-diffusion system in an unbounded domain. Zbl 1041.35016 Efendiev, M. A.; Zelik, S. V. 72 2001 Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data. Zbl 1029.30024 Efendiev, M. A.; Wendland, W. L. 7 2001 Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data without transversality. Zbl 1042.30506 Efendiev, M. A.; Wendland, W. L. 1 2001 Exponential attractors for a nonlinear reaction-diffusion system in \(\mathbb R^3\). Zbl 1151.35315 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 126 2000 Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example. Zbl 1022.37048 Chepyzhov, V. V.; Efendiev, M. A. 16 2000 Nonlinear Riemann-Hilbert problems with Lipschitz continuous boundary condition. Zbl 0958.35097 Wegert, E.; Efendiev, M. A. 3 2000 Finite-dimensional attractors for reaction-diffusion equations in \(\mathbb{R}^n\) with a strong nonlinearity. Zbl 0959.35025 Efendiev, Messoud; Miranville, Alain 13 1999 On the asymptotics of meromophic solutions for nonlinear Riemann-Hilbert problems. Zbl 0949.35105 Begehr, H.; Efendiev, M. A. 8 1999 On some nonlinear potential problems. Zbl 0923.35058 Efendiev, M. A.; Schmitz, Hermann; Wendland, Wolfgang L. 4 1999 Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in \(\mathbf R^n\). Zbl 0951.35502 Efendiev, M. A.; Scheel, A. 1 1999 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 698 Authors 41 Efendiev, Messoud 29 Zelik, Sergey V. 26 Miranville, Alain M. 22 Zhong, Chengkui 18 Eberl, Hermann J. 16 Grasselli, Maurizio 15 Sun, Chunyou 14 Rossi, Riccarda 13 Chepyzhov, Vladimir V. 13 Gal, Ciprian Gheorghe Sorin 13 Vougalter, Vitali 13 Zhou, Shengfan 12 Sonner, Stefanie 12 Yang, Zhijian 11 Mielke, Alexander 10 Czaja, Radosław 10 Pata, Vittorino 8 Bonfoh, Ahmed S. 8 Caraballo Garrido, Tomás 8 Cholewa, Jan W. 8 Knees, Dorothee 7 Kloeden, Peter Eris 7 Ôtani, Mitsuharu 7 Vishik, Marko Iosifovich 7 You, Bo 7 Zhang, Jin 6 Gatti, Stefania 6 Ghasemi, Maryam 6 Li, Xiaojun 6 Pražák, Dalibor 6 Viglialoro, Giuseppe 6 Winkler, Michael 6 Wu, Hao 6 Yue, Gaocheng 6 Zanini, Chiara 5 Černe, Miran 5 Chechkin, Gregory Aleksandrovich 5 Cherfils, Laurence 5 Crismale, Vito 5 Kovtunenko, Viktor Anatolievich 5 Lazzaroni, Giuliano 5 Li, Yanan 5 Nolasco de Carvalho, Alexandre 5 Rodríguez-Bernal, Aníbal 5 Salieva, Olga Alekseevna 5 Tsujikawa, Tohru 5 Wang, Yejuan 5 Wendland, Wolfgang L. 5 Yang, Lin 4 Arrieta, José M. 4 Bekmaganbetov, Kuanysh Abdrakhmanovich 4 Benzakour Amine, M. 4 D’Acunto, Berardino 4 Dal Maso, Gianni 4 Dlotko, Tomasz W. 4 Dubey, Shruti A. 4 Dwivedi, Sharad 4 Fakih, Hussein 4 Galakhov, Evgeniĭ Igorevich 4 Gorban, Nataliia V. 4 Kalantarov, Varga K. 4 Langa, Jose’ Antonio 4 Li, Fang 4 Li, Yongjun 4 Liu, Cuncai 4 Meng, Fengjuan 4 Niu, Weisheng 4 Phan, Chi 4 Roubíček, Tomáš 4 Savaré, Giuseppe 4 Solombrino, Francesco 4 Stefanelli, Ulisse 4 Valero, José 4 Yan, Xingjie 4 Yang, Lu 4 Yang, Meihua 4 Zhang, Fanghong 4 Zhigun, Anna 4 Zubkova, Anna V. 3 Akhmouch, M. 3 Aouadi, Moncef 3 Cantin, Guillaume 3 Conti, Monica C. 3 Cunha, Arthur C. 3 DeSimone, Antonio 3 Ding, Pengyan 3 Dondl, Patrick Werner 3 Farwig, Reinhard 3 Frunzo, Luigi 3 Gluzman, Mark O. 3 Guo, Boling 3 Guo, Shangjiang 3 Han, Zongfei 3 Ibrahim, Hassan 3 Izuhara, Hirofumi 3 Kania, Maria B. 3 Kasyanov, Pavlo O. 3 Kostianko, Anna 3 Kuto, Kousuke 3 Li, Dong ...and 598 more Authors all top 5 Cited in 195 Serials 35 Journal of Mathematical Analysis and Applications 33 Journal of Differential Equations 27 Nonlinear Analysis. 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Theory, Methods & Applications 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics ...and 95 more Serials all top 5 Cited in 36 Fields 534 Partial differential equations (35-XX) 183 Dynamical systems and ergodic theory (37-XX) 110 Biology and other natural sciences (92-XX) 79 Mechanics of deformable solids (74-XX) 52 Fluid mechanics (76-XX) 45 Numerical analysis (65-XX) 37 Operator theory (47-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 34 Ordinary differential equations (34-XX) 29 Statistical mechanics, structure of matter (82-XX) 22 Probability theory and stochastic processes (60-XX) 21 Functions of a complex variable (30-XX) 17 Classical thermodynamics, heat transfer (80-XX) 10 Integral equations (45-XX) 9 Computer science (68-XX) 9 Optics, electromagnetic theory (78-XX) 8 Measure and integration (28-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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