Messoud Efendiev
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Azerbaijani mathematics
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Mathematics
Messoud Efendiev's Degrees
- PhD Mathematics Baku State University
Why Is Messoud Efendiev Influential?
(Suggest an Edit or Addition)According to Wikipedia, Messoud Efendiev is an Azerbaijani scientist. He was born in Zaqatala, Azerbaijan. Career His distinguish thesis work was written in 1974/75 in the Moscow State University under supervision of Professors Mark Vishik and A.I.Snirelmann on topological methods in nonlinear analysis. His PhD thesis was written in the Moscow State University 1975/76–1978/79 on a global solvability of nonlinear Riemann–Hilbert problems which was defended in 1980. His habilitation thesis was titled "Geometrical properties of nonlinear mapping related to pseudodifferential operators and their topological degree" and was defended in 1998 in the Free University Berlin.
Messoud Efendiev's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Exponential attractors for a nonlinear reaction-diffusion system in ? (2000) (226)
- The attractor for a nonlinear reaction‐diffusion system in an unbounded domain (2001) (139)
- On the Rate-Independent Limit of Systems with Dry Friction and Small Viscosity (2006) (132)
- Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems* (2005) (131)
- Exponential attractors for a singularly perturbed Cahn‐Hilliard system (2004) (105)
- Lower Estimate of the Attractor Dimension for a Chemotaxis Growth System (2006) (84)
- Existence and longtime behavior of a biofilm model (2008) (54)
- Analysis and Simulation of Multifield Problems (2003) (50)
- Upper and Lower Bounds for the Kolmogorov Entropy of the Attractor for the RDE in an Unbounded Domain (2002) (43)
- Existence and Longtime Behavior of Solutions of a Nonlinear Reaction-Diffusion System Arising in the Modeling of Biofilms (非線形拡散系とその周辺 研究集会報告集) (2002) (41)
- Finite‐ and infinite‐dimensional attractors for porous media equations (2008) (40)
- Pullback exponential attractors for nonautonomous equations Part I: Semilinear parabolic problems (2011) (39)
- Evolution Equations Arising in the Modelling of Life Sciences (2013) (32)
- EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM (2011) (31)
- Finite‐dimensional attractors and exponential attractors for degenerate doubly nonlinear equations (2009) (30)
- Quasilinear abstract parabolic evolution equations and exponential attractors (2005) (30)
- A degenerate diffusion-reaction model of an amensalistic biofilm control system: Existence and simulation of solutions (2009) (29)
- Finite dimensional attractors for reaction-diffusion equations in $R^n$ with a strong nonlinearity (1999) (29)
- On the well‐posedness of a mathematical model of quorum‐sensing in patchy biofilm communities (2011) (29)
- Attractors for Degenerate Parabolic Type Equations (2013) (28)
- On the stability of a space vehicle riding on an intense laser beam (2016) (27)
- Nonlinear Riemann-Hilbert problems for multiply connected domains (1996) (27)
- Infinite dimensional exponential attractors for a non–autonomous reaction–diffusion system (2003) (27)
- The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and its averaging (2003) (27)
- Finite and infinite dimensional attractors for evolution equations of mathematical physics (2010) (23)
- A transient density-dependent diffusion-reaction model for the limitation of antibiotic penetration in biofilms. (2003) (23)
- Hausdorff Dimension Estimation for Attractors of Nonautonomous Dynamical Systems in Unbounded Domains: An Example (2000) (23)
- The dimension of the global attractor for dissipative reaction-diffusion systems (2003) (22)
- Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system (2005) (22)
- On a new dimension estimate of the global attractor for chemotaxis-growth systems (2008) (20)
- Global weak solutions for the Landau–Lifschitz equation with magnetostriction (2011) (19)
- The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity (2002) (19)
- Solvability in the sense of sequences for some fourth order non-Fredholm operators (2021) (18)
- On the large time behavior of solutions of fourth order parabolic equations and ε-entropy of their attractors (2007) (18)
- SOLVABILITY OF SOME INTEGRO-DIFFERENTIAL EQUATIONS WITH DRIFT (2020) (18)
- Global and exponential attractors for nonlinear reaction–diffusion systems in unbounded domains (2004) (18)
- Analysis and Simulation of a Mesoscale Model of Diffusive Resistance of Bacterial Biofilms to Penetration of Antibiotics (2006) (18)
- Infinite-dimensional attractors for evolution equations with $p$-Laplacian and their Kolmogorov entropy (2007) (18)
- Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion (2021) (17)
- On Some Nonlinear Potential Problems (1999) (17)
- Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data (2001) (14)
- Relaxed model for the hysteresis in micromagnetism (2009) (14)
- Quasilinear Elliptic Equations on Half- and Quarter-spaces (2013) (14)
- New models of Cahn-Hilliard-Gurtin equations (2004) (13)
- Analysis of a degenerate biofilm model with a nutrient taxis term (2013) (13)
- On the asymptotics of meromorphic solutions for nonlinear Riemann–Hilbert problems (1999) (12)
- Nonlinear Riemann ‐ Hilbert Problems without Transversality (1997) (12)
- Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches (2010) (12)
- A functional partial differential equation arising in a cell growth model with dispersion (2018) (12)
- Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium (2011) (11)
- Linear and nonlinear non-Fredholm operators and their applications (2022) (11)
- On the compactness of the stable set for rate independent processes (2003) (11)
- Pullback exponential attractors for nonautonomous equations Part II: Applications to reaction–diffusion systems (2011) (11)
- DIMENSION ESTIMATE OF THE EXPONENTIAL ATTRACTOR FOR THE CHEMOTAXIS–GROWTH SYSTEM* (2008) (11)
- Exponential attractor for an adsorbate-induced phase transition model in non smooth domain (2006) (10)
- On the structure of attractors for a class of degenerate reaction-diffusion systems (2006) (10)
- On an ODE-PDE coupling model of the mitochondrial swelling process (2015) (10)
- On the well posedness of a class of PDEs including porous medium and chemotaxis effect (2011) (9)
- A SIMPLE BIOCLOGGING MODEL THAT ACCOUNTS FOR SPATIAL SPREADING OF BACTERIA (2009) (8)
- Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system (2007) (8)
- On the positivity of solutions of systems of stochastic PDEs (2013) (8)
- Verification of Biomedical Processes with Anomalous Diffusion, Transport and Interaction of Species (2020) (8)
- Mathematical analysis of an in vivo model of mitochondrial swelling (2017) (8)
- Nonlinear Riemann—Hilbert problems with Lipschitz continuous boundary condition (2000) (7)
- The long‐time behaviour of the thermoconvective flow in a porous medium (2004) (7)
- On the well‐posedness of mathematical models for multicomponent biofilms (2015) (7)
- On positivity of solutions of semi-linear convection-diffusion-reaction systems, with applications in ecology and environmental engineering(Mathematical Models of Phenomena and Evolution Equations) (2007) (6)
- Nonlinear Riemann–Hilbert problems with Lipschitz–continuous boundary data: doubly connected domains (2003) (6)
- Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion (2020) (6)
- Nonlinear Riemann-Hilbert Problems for Generalized Analytic Functions (2009) (6)
- How Spatial Heterogeneity Affects Transient Behavior in Reaction–Diffusion Systems for Ecological Interactions? (2019) (6)
- Classification of positive solutions of semilinear elliptic equations (2004) (6)
- Solvability of Some Integro-Differential Equations with Drift and Superdiffusion (2022) (6)
- Hardy spaces for the conjugated Beltrami equation in a doubly connected domain (2011) (6)
- Dimension estimate of the global attractor for a semi-discretized chemotaxis–growth system by conservative upwind finite-element scheme (2009) (5)
- A note on attractors with finite fractal dimension (2008) (5)
- Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations (2018) (5)
- Existence of solutions for some systems of integro-differential equations with transport and superdiffusion (2022) (4)
- Classification of Existence and Non-Existence of Running Fronts in Case of Fast Diffusion (2009) (4)
- Asymmetric cell division with stochastic growth rate. Dedicated to the memory of the late Spartak Agamirzayev (2018) (4)
- Nonlinear Riemann–Hilbert problems with Lipschitz-continuous boundary data without transversality☆ (2001) (4)
- New generalizations of the Cahn-Hilliard equation based on a microforce balance (2003) (4)
- Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement (2018) (3)
- On a new variant degree theory of mapping and its application (1996) (3)
- On the solvability of some systems of integro- differential equations with drift and superdiffusion (2019) (3)
- EXPONENTIAL ATTRACTORS FOR EVOLUTION EQUATIONS (2005) (3)
- Infinite dimensional attractors for porous medium equations in heterogeneous medium (2012) (3)
- Allen–Cahn equation with strong irreversibility (2018) (3)
- Mathematical Modeling of Mitochondrial Swelling (2018) (2)
- On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis (2014) (2)
- Geometrical properties of nonlinear maps and their application, Part I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains (2007) (2)
- Stability analysis of chemical reactors (1999) (2)
- Modelling of the Blood Coagulation Cascade in an In Vitro Flow System. (2010) (2)
- On a global uniform pull-back attractor of a class of PDEs with degenerate diffusion and chemotaxis (2013) (2)
- On an elliptic attractor in an asymptotically symmetric unbounded domain in ℝ+4 (2007) (2)
- Existence and Exact Multiplicity for Quasilinear Elliptic Equations in Quarter-Spaces (2016) (2)
- Geometrical properties of nonlinear maps and their application, Part II: Nonlinear Riemann-Hilbert problems with closed boundary data for multiply connected domains (2007) (2)
- Infinite‐dimensional exponential attractors for fourth‐order nonlinear parabolic equations in unbounded domains (2011) (2)
- On the Necessary Conditions for Preserving the Nonnegative Cone: Mixed Diffusion (2021) (2)
- On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis (2017) (1)
- Global attractor and stabilization for a coupled PDE-ODE system (2011) (1)
- Isothermal upscaling of chemical reactors: two examples (1997) (1)
- Dissipative Dynamical Systems of Infinite Dimension (2006) (1)
- Doubly nonlinear degenerate parabolic equations (2013) (1)
- Solvability in the sense of sequences for some non-Fredholm operators with the logarithmic Laplacian (2023) (1)
- On nonlinear Riemann–Hilbert problems with discontinuous boundary condition (2007) (1)
- Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in $\mathbb{R}^n$ (Nonlinear Evolution Equations and Applications) (1999) (1)
- Upscaling of some exothermic reactions from chemical industry (1996) (1)
- On a Global Uniform Pullback Attractor of a Class of PDEs with Degenerate Diffusion and Chemotaxis in One Dimension (2013) (1)
- On boundary–layer–type solutions of nonlinear Riemann–Hilbert problems and related geometric structures (2002) (1)
- Dimension estimate of the exponential attractor for the chemotaxis‐growth system (2007) (1)
- On the Well-Posedness of a Class of Mathematical Models Describing Processes in Spatially Heterogeneous Biofilm Communities (2013) (0)
- Positivity Criterion for Systems of Stochastic PDEs (2013) (0)
- ON THE SOLVABILITY OF SOME SYSTEMS OF INTEGRO-DIFFERENTIAL EQUATIONS WITH TRANSPORT AND CONCENTRATED SOURCES (2022) (0)
- 1APNF 62×50−210 valves for separate oil recovery (1974) (0)
- Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources (2022) (0)
- Title On a new dimension estimate of the globalattractor for chemotaxis-growth systems (0)
- Partial Differential Equations Classification of positive solutions of semilinear elliptic equations (2004) (0)
- Global Attractors for Autonomous Evolution Equations (2013) (0)
- The Case of p-Laplacian Operator (2018) (0)
- Symmetry and Attractors: Arbitrary Dimension (2018) (0)
- Long-time dynamics of -Laplacian equations: Heterogeneous media (2013) (0)
- Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion (2022) (0)
- Finite fractal dimensional global attractor for abstract differential equations with state-dependent delay (2022) (0)
- Symmetry and Attractors (2018) (0)
- Linear and Nonlinear Non-Fredholm Operators (2023) (0)
- On certain classes of quasilinear Fredholm maps, their degree and bifurcation (1996) (0)
- Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions (2023) (0)
- The Swelling of Mitochondria: Degenerate Diffusion (2018) (0)
- Allen-Cahn equation with strong irreversibility (Analysis on Shapes of Solutions to Partial Differential Equations) (2017) (0)
- Upper and lower semicontinuity of a stable set for rate-independent processes (2003) (0)
- Mathematical Analysis of Vitro Models (2018) (0)
- Long time behavior of a parabolic p-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon (2022) (0)
- The Swelling of Mitochondria: In Vivo (2018) (0)
- LOCAL VS NONLOCAL MODELS FOR MITOCHONDRIA SWELLING (2021) (0)
- The Blood Coagulation Cascade in a Perfusion Experiment: Example from the Pharmaceutical Industry (2013) (0)
- The Spatial Evolution of Mitochondria: PDE-PDE Systems (2018) (0)
- Symmetry and Attractors: The Case N ≤ 3 (2018) (0)
- Bypass valves for the control and suppression of oil wells (1975) (0)
- On a class of PDEs with degenerate diffusion and chemotaxis: Nonautonomous case (2013) (0)
- NECESSARY AND SUFFICIENT CONDITIONS FOR THE POSITIVITY OF SOLUTIONS OF SYSTEMS OF STOCHASTIC PDES (2010) (0)
- ODE-PDE coupling arising in the modelling of a forest ecosystem (2013) (0)
- Stability Analysis for Reactors from Chemical Industry (2003) (0)
- New drug forms of the local anesthetic pyromecaine (1986) (0)
- Orientable and nonorientable Riemann-Hilbert problems (2001) (0)
- Verifying Life Science Models Containing Diffusion, Transport and Interaction of Species (2013) (0)
- Necessary conditions for a reaction – diffusion system with delay to preserve positivity (2016) (0)
- Porous medium equation in heterogeneous media: Long-time dynamics (2013) (0)
- Existence of solutions for some systems of integro-differential equations with transport and superdiffusion (2022) (0)
- Trajectory Dynamical Systems and Their Attractors (2018) (0)
- ON THE NECESSARY CONDITIONS FOR PRESERVING THE NONNEGATIVE CONE: DOUBLE SCALE ANOMALOUS DIFFUSION (2022) (0)
- Symmetry and Attractors: The Case N ≤ 4 (2018) (0)
- Foreign Motor Method Used for the Classification of the Oils of Various Groups (1972) (0)
- Dimension Estimate of Uniform Attractor for a Model of High Intensity Focussed Ultrasound-Induced Thermotherapy (2021) (0)
- Exponential Attractors for Evolution Equations (Evolution Equations and Asymptotic Analysis of Solutions) (2005) (0)
- Necessary conditions for reaction-diffusion system with delay preserving positivity (2016) (0)
- The Borsuk-Ulam theorem for quasi-ruled Fredholm maps (2006) (0)
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