Evolutionary Processes and Applications


Gaston Mandata N’Guérékata (Editor)
University Distinguished Professor of Mathematics, The World Academy of Sciences (TWAS) Research Professor, School of Computer, Mathematical and Natural Sciences, Morgan State University Baltimore, MD, USA

Series: Advances in Evolution Equations
BISAC: MAT003000

This book presents and discusses new developments in the study of evolutionary processes. Topics discussed include evolution of magneto-acoustic waves in isothermal atmosphere, quantum dynamical semigroups, traveling waves in discrete models of biological population, motion of electrorheological fluids, Stacklberg control of a backward linear heat equation, Leray weak solutions of Navier-Stokes equation involving one directional derivative, and initial value boundary problem of an evolutionary p(x)-Laplacian equation.
(Imprint: Nova)



Table of Contents


Chapter 1. Traveling Waves in Discrete Models of Biological Populations with Sessile Stages
(Ahlam Alzahrani, Department of Mathematics and Statistics, University of Arkansas at Little Rock,

Chapter 2. Generation and Evolution of Magneto-Acoustic Waves in an Isothermal Atmosphere (I)
(H. Y. Alkahby, D. A. Rossmanith, R. A. Shulaiba and D. R. Jagessar, Department of Mathematics, Dillard University, New Orleans, LA, US, and others)

Chapter 3. Ergodic-Type Theorem for Quantum Dynamical Semigroup
(Michael O. Ogundiran, Department of Mathematics, Obafemi Awolowo University, Ile-Ife. Nigeria)

Chapter 4. On the Stability of Higher Order Differential Equations
(B. S. Kalitine, Belarusian State University, Faculty of Economics, Minsk, Belarus)

Chapter 5. Asymptotics Related to Nonlinear Effects for a Class of Higher Order Parabolic Equations
(Mahmoud Qafsaoui, ESTACA-Groupe ISAE, Laval, France)

Chapter 6. Discriminating Sentinel with Given Sensitivity for the Heat Equation with Fourier Boundary Condition
(Sadou Tao and Elisée Gouba, Université Joseph Ki-Zerbo, Département de Mathématiques, Ouagadougou, Burkina Faso, and others)

Chapter 7. Local Stable Manifolds of Admissible Classes for Parabolic Functional Equations and Applications to Hutchinson Models
(Nguyen Thieu Huy and Dinh Xuan Khanh, Nguyen Thieu Huy, School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam, and others)

Chapter 8. Stackelberg Control of a Backward Linear Heat Equation
(L. L. Djomegne Njoukoue, G. Mophou and G. Deugoue, University of Dschang, Dschang, Cameroon, and others)

Chapter 9. S-Asymptotically ω-Periodic Mild Solutions for Second Order Evolution Equations
(Mouffak Benchohra, Gaston M. N’guérékata and Noreddine Rezoug, Laboratory of Mathematics, Djillali Liabes, University of Sidi Bel-Abbes, Sidi Bel-Abbes, Algeria, and others)

Chapter 10. The Initial Boundary Value Problem of an Evolutionary p(x)-Laplacian Equation
(Zhao Jiangyan, Center for General Education, Xiamen Huaxia University, China)

Chapter 11. On a Criterion for Regularity of Leray Weak Solutions to the Navier – Stokes Equations Involving One Directional Derivative
(Ngo Van Giang and Nguyen Minh Tri, Faculty of Basic Sciences, Thai Nguyen University of Technology, Tich Luong, Thai Nguyen, Viet Nam)


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