Evolution Equations : New Research (Mathematics Research Developments)

[Book Description]

This book presents and discusses new developments in the study of evolution equations. Topics discussed include parabolic equations; generalised gradient in weak maximum principle with n-differentiable drift; bifluid systems; Yamabe-type flows; stochastic evolution equations; heat equations; Navier-Stokes equations; Cahn-Hilliard equations; and more.

[Table of Contents]

Preface                                            ix
Chapter 1 Regularity of IBVP for Parabolic         1  (16)
Equations in Polyhedral Domains
          Vu Trong Luong
          Do Van Loi
Chapter 2 Generalized Gradient in Weak Maximum     17 (14)
Principle with Non-differentiable Drift
          Mokhtar Hafayed
          Syed Abbas
Chapter 3 Renormalized Solutions of Nonlinear      31 (28)
Degenerated Parabolic Equations without Sign
Condition and Lｹ Data
          Youssef Akdim
          Jaouad Bennouna
          Mounir Mekkour
Chapter 4 On a Bifluid System with High Density    59 (12)
Ratio
          Mohamed Dahi
          Timack Ngom
          Mamadou Sy
Chapter 5 Notes on Yamabe-Type Flows               71 (6)
          Huan Zhu
Chapter 6 Unbounded Perturbation of the            77 (12)
Controllability for Stochastic Evolution
Equations
          Hugo Leiva
          Nelson Merentes
          Miguel Narvaez
Chapter 7 Nonlinear Evolution Equation for a       89 (26)
Magneto-convective Flow in a Passive Mushy Layer
          Dambaru Bhatta
          Daniel N. Riahi
Chapter 8 Abstract Fractional                      115(14)
Integro-differential Equations with
State-Dependent Delay
          Mouffak Benchohra
          Sara Litimein
          Juan J. Trujillo
          M.P. Velasco
Chapter 9 Alternative Food Induced                 129(24)
Predator-prey Oscillations in an
Eco-epidemiological Model
          Krishna pada Das
          Kakali Ghosh
          J. Chattopadhyay
Chapter 10 On the Gevrey Wave Front Set            153(10)
          Amor Kessab
Chapter 11 Boundedness Properties of Solutions     163(16)
to Stochastic Set Differential Equations with
Selectors
          Nguyen Dinh Phu
          Ngo Van Hoa
          Nguyen Minh Triet
          Ho Vu
Chapter 12 Blow-Up Rate and Blow-Up Sets for       179(8)
Degenerate Parabolic Equations Coupled via
Nonlinear Boundary Flux
          Si Xu
Chapter 13 The Boundary Value Condition of a       187(22)
Degenerate Parabolic Equation
          Huashui Zhan
Chapter 14 Asymptotic Behavior for Retarded        209(24)
Non-autonomous Quasilinear Parabolic Equations
          Cung The Anh
          Le Van Hieu
Chapter 15 Asymptotic Equivalence of Abstract      233(10)
Evolution Equations
          Dang Dinh Chau
          Nguyen Manh Cuong
Chapter 16 Periodic Solutions in the               243(22)
α-norm for Some Partial Functional
Differential Equations with Finite Delay
          Khalil Ezzinbi
          Bila Adolphe Kyelem
          Stanislas Ouaro
Chapter 17 C-semigroups and Almost Periodic        265(14)
Solution of Non-autonomous Evolution Equation
          Indira Mishra
Chapter 18 Global Unique Weak Solutions of         279(14)
Non-local Degenerate Reaction-diffusion
Equations in Weighted Sobolev's Spaces
          Sikiru Adigun Sanni
Chapter 19 Identification and Control of a Heat    293(16)
Equation
          Fadhel Al-Musallam
          Amin Boumenir
Chapter 20 The Structural Role of the Basilar      309(10)
Membrane in the Hearing Process
          Bernard Singleton
          Hadi Alkahby
Chapter 21 Observation of Signal Transmission      319(6)
on the Nerve Axon with Time Delay
          Bernard Singleton
          Hadi Alkahby
Chapter 22 On General Axisymmetric Explicit        325(12)
Solutions for the Navier-Stokes Equations
          Dao Quang Khai
          Nguyen Minh Tri
Chapter 23 On the Viscous Convective               337(26)
Cahn-Hilliard Equation
          Assane Lo
Chapter 24 Existence and No Existence of Mild      363(14)
Solutions for a Fractional Evolution System
          Samira Rihani
          Amor Kessab
Chapter 25 Boundary Value Problems for Abstract    377(12)
First Order Non Homogeneous Differential
Equations with Integral Conditions
          M. Denche
          A. Berkane
Index                                              389