Symposium

Author: Multicontinuum Models for Porous Media Fows and Applications

Wednesday - March 16, 2022

@ 8:30 AM (KSA Time GMT +3)

Thursday - March 17, 2022

@ 8:00 AM (KSA Time GMT +3)

Registration

6th Symposium on Recent Developments in PDEs and Applications

# | Time | Speaker | Presentation |
---|---|---|---|

Session I: Wednesday - March 16, 2022 |
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I.1 | 8:30 - 8:45 | Adel Fadhl Ahmed | Opening Ceremony |

I.2 | 8:50 - 9:40 | Vicentiu Radulescu | Isotropic and Anisotropic Equations with Unbalanced Growth |

I.3 | 9:45 - 10:20 | Tej-Eddine Ghoul | Boundary Layer Separation |

I.4 | 10:25 - 11:15 | Varga Kalantarov | Global Behavior of Solutions to Damped Nonlinear Wave Equations with Structural Damping |

I.5 | 11:20 - 11:55 | Ahmad Fino | Blow-up of Solutions to Semilinear Wave Equations with a Time-dependent Strong Damping |

12:00 - 13:00 | Break |
||

I.6 | 13:00 - 13:50 | Ramon Quintanilla | Decay of Solutions in Strain Gradient MGT Thermoelasticity |

I.7 | 13:55 - 14:25 | Faisal Fairag | Circulant Preconditioners for the Biharmonic Problem” |

I.8 | 14:30 - 15:15 | Monica Conti | On the Moore-Gibson-Thompson Equation with Nonconvex Memory Kernels |

I.9 | 15:50 - 16:40 | Stephen Anco | General Symmetry Multi-reduction Method for Partial Differential Equations with Conservation Laws |

I.10 | 16:45 - 17:35 | Bessem Samet | A General Blow-up Result for Degenerate Hyperbolic Inequalities in an Exterior Domain |

Session II: Thursday - March 17, 2022 |
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II.1 | 8:10 - 8:50 | Wenjun Liu | Some Decay Results on the Moore-Gibson-Thompson Equation with Memory Arising in High Intensity Ultrasound |

II.2 | 8:55 - 9:25 | Ahmed Bonfoh | A Recent Proof of the Existence of an Inertial Manifold for the Hyperbolic Cahn-Hilliard Equation |

II.3 | 9:30 - 10:00 | Abdullah Shah | Numerical Method for Diffuse Interface Model with Application to Two-phase Flows |

II.4 | 10:05 - 10:55 | Tomasz Dlotko | Dirichlet Problem for Critical 2D Quasi-geostrophic Equation with Large Data |

II.5 | 11:00 - 11:50 | Okay Celebi | Schwarz Boundary Value Problem for Partial Differential Equations in Complex Plane |

12:00 - 13:30 | Break |
||

II.6 | 13:30 - 14:10 | On Keller-Segel Type Models in Higher Dimesnions | Suleyman Ulusoy |

II.7 | 14:15 - 15:05 | Some Recent Results in Nutrient Dynamics and Brain Cancer | Stefania Gatti |

II.8 | 15:40 - 16:20 | To Fu Ma | Dynamics of Locally Damped Semilinear Bresse Systems |

II.9 | 16:25 - 17:05 | Marcio A. Jorge Silva | Extensible Beams with Balakrishnan-Taylor Damping Coefficient: Intrinsic Polynomial Behavior and Long-time Dynamics |

II.10 | 17:10 - 17:50 | Yalchin Efendiev | Multicontinuum Models for Porous Media Flows and Applications |

II.11 | 17:55 - 18:00 | Closing Ceremony | |

**Prof. Vicentiu Radulescu**

Professor

University of Craiova (Romania)

Dr. V. Radulescu received both his PhD and Habilitation at the Sorbonne University in Paris under the coordination of Professor Haim Brezis. He is author of 10 monographs. He is the founder and a co-editor-in-chief of the journal Advances in Nonlinear Analysis, ranked 4/330 in Mathematics with Impact Factor = 4.279. He is also a founding member and executive director of the China-Romania Research Center in Applied Mathematics.

Isotropic and Anisotropic Equations with Unbalanced Growth

**Title of Presentation:**Isotropic and Anisotropic Equations with Unbalanced Growth

**Prof. Tej-Eddine Ghoul**

Professor

New York University Abu Dhabi (UAE)

Dr. Tej-eddine Ghoul earned his PhD from the University of Paris 13, after that he moved to New York University in New York as a Courant Instructor during two years. Currently, he is Assistant Professor at NYU Abu Dhabi and Co-PI at the Research Center on Stability, Instability and Turbulence. Before his PhD he worked also for the CEA (Atomic Energy Center) about the LIBS (Laser-Induced Breakdown Spectroscopy) for one year. His research area is analysis of PDEs, more specially he is interested in the formation of singularity and the asymptotic behavior of the solutions. Recently with his collaborators, they have been able to prove an important result on 3D incompressible Euler equations.

Boundary Layer Separation

**Title of Presentation:**Boundary Layer Separation

**Prof. Varga Kalantarov**

Professor

Koc University (Turkey)

Dr. V. Kalantarov obtained his Ph.D. from Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan in 1974. He was awarded Doctor of Sciences at V. A. Steklov Institute of Mathematics at St. Petersburg in 1988. He is currently full Professor in the Department of Mathematics at Koc University. His research interests is in the analysis of nonlinear PDEs: blow up, stability and stabilization of solutions, and dissipative dynamical systems.

Global Behavior of Solutions to Damped Nonlinear Wave Equations with Structural Damping

**Title of Presentation:**Global Behavior of Solutions to Damped Nonlinear Wave Equations with Structural Damping

**Prof. Ahmad Fino**

Professor

Lebanese University (Lebanon)

Dr. A. Fino graduated from Universite de La Rochelle in France in 2010. He is currently full professor in the Department of Mathematics of the Lebanese University, Lebanon. His research focusses on the quantitative and qualitative properties of PDEs including fractional derivatives as, for instance, fractional Laplacian and Caputo derivatives.

Blow-up of Solutions to Semilinear Wave Equations with a Time-dependent Strong Damping

**Title of Presentation:**Blow-up of Solutions to Semilinear Wave Equations with a Time-dependent Strong Damping

**Prof. Ramon Quintanilla**

Professor

Universitat Politècnica de Catalunya (Spain)

Dr. Ramon Quintanilla is Full Professor in Applied Mathematics at the Technical University of Catalonia (U. P. C.) since 2003. He obtained his Ph.D. in 1985 at the University of Barcelona. His fields of interest are: Continuum Thermomechanics and PDEs. He is member of the editorial board of journals like Mathematics and Mechanics of Solids, Journal of Thermal Stresses, Journal Applied Analysis and Computation, AIMS Mathematics(among others).

Decay of Solutions in Strain Gradient MGT Thermoelasticity

**Title of Presentation:**Decay of Solutions in Strain Gradient MGT Thermoelasticity

**Prof. Faisal Fairag**

Professor

King Fahd University of Petroleum and Minerals (Saudi Arabia)

Dr. Faisal Fairag obtained his Ph.D in 1998 from the University of Pittsburgh, USA. He is currently an Associate Professor in the Department of Mathematics at KFUPM. His research interests include Numerical Analysis. Numerical Linear Algebra. Numerical Solutions for PDEs, Preconditioning Techniques for Saddle point system, Image Deblurring Problems, Numerical Computations for Darcy's and Navier-Stokes Equations.

Circulant Preconditioners for the Biharmonic Problem

**Title of Presentation:**Circulant Preconditioners for the Biharmonic Problem

**Prof. Monica Conti**

Professor

Politecnico di Milan (Italy)

Dr. Monica Conti is full professor of Mathematical Analysis at Politecnico di Milano, Italy. Her research interests include infinite-dimensional dynamical systems generated by PDEs, systems with memory, attractors for processes on time-dependent spaces, mathematical models for viscoelastic

On the Moore-Gibson-Thompson Equation with Nonconvex Memory Kernels

**Title of Presentation:**On the Moore-Gibson-Thompson Equation with Nonconvex Memory Kernels

**Prof. Stephen Anco**

Professor

Brock University (Canada)

Dr. Stephen Anco is full professor and chair in the Department of Mathematics & Statistics at Brock University (St Catharines, Canada). He has co-authored two books with George Bluman on symmetries, conservation laws, and integration methods for differential equations. His early work, in collaboration with Bluman, developed an algorithmic method that reduces the problem of finding conservation laws to an adjoint version of the problem of finding symmetries. This allows conservation laws to be computed in the same way as symmetries, without the need for a Lagrangian or special ansatzes.

General Symmetry Multi-reduction Method for Partial Differential Equations with Conservation Laws

**Title of Presentation:**General Symmetry Multi-reduction Method for Partial Differential Equations with Conservation Laws

**Prof. Bessem Samet**

Professor

King Saud University (Saudi Arabia)

Dr. Bessem Samet is Full Professor of Applied Mathematics at King Saud University, Saudi Arabia. He obtained his PhD degree in 2004 from Paul Sabatier University in France. His research interests include various branches of Nonlinear Analysis, such as PDEs, Evolution Equations and Fractional calculus.

A General Blow-up Result for Degenerate Hyperbolic Inequalities in an Exterior Domain

**Title of Presentation:**A General Blow-up Result for Degenerate Hyperbolic Inequalities in an Exterior Domain

**Prof. Wenjun Liu**

Professor

NUIST (China)

Dr. Wenjun Liu earned his Ph.D. from Southeast University China. He joined the School of Mathematics and Statistics in the Nanjing University of Information Science and Technology in 2005 and currently, he is a Professor of Applied Mathematics. The focus of his research is to investigate the global existence and longtime behavior of nonlinear PDEs, as well as their applications in biological, medicine, fluid and material fields. He published two textbooks, and has been awarded the Youth Award of Jiangsu Society for Industrial and Applied Mathematics, China.

Some Decay Results on the Moore-Gibson-Thompson Equation with Memory Arising in High Intensity Ultrasound

**Title of Presentation:**Some Decay Results on the Moore-Gibson-Thompson Equation with Memory Arising in High Intensity Ultrasound

**Prof. Ahmed Bonfoh**

Professor

King Fahd University of Petroleum and Minerals (Saudi Arabia)

Dr. Ahmed Bonfoh obtained his PhD from the Universit'e de Poitiers in France in 2001. He spent two years 2005-06 as a postdoc in the Mathematics Section of ICTP in Trieste, Italy.
He is currently an Associate Professor in the Department of Mathematics at KFUPM. His current research interests are Nonlinear PDEs and Infinite-dimensional dynamical systems.

A Recent Proof of the Existence of an Inertial Manifold for the Hyperbolic Cahn-Hilliard Equation

**Title of Presentation:**A Recent Proof of the Existence of an Inertial Manifold for the Hyperbolic Cahn-Hilliard Equation

**Prof. Abdullah Shah**

Professor

COMSATS University Islamabad (Pakistan)

Dr. Abdullah Shah received PhD in computational mathematics from the ICMSEC, Chinese Academy of Sciences Beijing. Currently, he is working as an associate professor in the department of mathematics, COMSATS University Islamabad, Pakistan. He is also the recipient of "Erasmus Mundus (EMMA) postdoctoral fellowship at IWR, University of Heidelberg, Germany, TWAS-UNESCO Associate and PIFI visiting scientist at Chinese Academy of Sciences.

Numerical Method for Diffuse Interface Model with Application to Two-phase Flows

**Title of Presentation:**Numerical Method for Diffuse Interface Model with Application to Two-phase Flows

**Prof. Tomasz Dlotko**

Professor

University of Silesia in Katowice (Poland)

D. Tomasz Dlotko completed his PhD in 1980 at Jagiellonian University in Cracow and his Habilitation at the Jagiellonian University in 1987. He is currently full Professor at the Institute of Mathematics at the University of Silesia in Katowice. He has co-authored two books. His scientifc work is centred mainly in the area of functional analysis, critical problems, the theory of global attractors with application to evolutionary nonlinear PDEs.

Dirichlet Problem for Critical 2D Quasi-geostrophic Equation with Large Data

**Title of Presentation:**Dirichlet Problem for Critical 2D Quasi-geostrophic Equation with Large Data

**Prof. Okay Celebi**

Professor

Yeditepe University (Turkey)

Dr. O. Celebi received his Ph.D. from Ankara University in 1967. He had positions at Ankara University until 1984, then at the Middle East Technical University until 2006 and at Yeditepe University where he retired in 2018. In the last years he has been working on the boundary value problems for Complex Partial Differential Equations.

Schwarz Boundary Value Problem for Partial Differential Equations in Complex Plane

**Title of Presentation:**Schwarz Boundary Value Problem for Partial Differential Equations in Complex Plane

**Prof. Suleyman Ulusoy**

Professor

American University of Ras Al Khaimah (UAE)

Dr. Suleyman Ulusoy has been a Professor in the Mathematics and Natural Sciences Department since 2017. Before joining AURAK, he served as a teaching assistant at Georgia Institute of Technology and in postdoctoral research positions at the University of Oslo in Norway, where he worked with the PDEs research group and the University of Maryland.

On Keller-Segel Type Models in Higher Dimensions

**Title of Presentation:**On Keller-Segel Type Models in Higher Dimensions

**Dr. Stefania Gatti**

Associate Professor

Universita degli Studi di Modena e Reggio Emilia (Italy)

Dr. Stefania Gatti is associate professor of Mathematical Analysis at Universita di Modena and Reggio Emilia, Italy. Her main research feld are PDEs and, in particular, asymptotic behavior of dynamical systems associated with evolution equations of hyperbolic and parabolic type; memory relaxation of evolution equations; mathematical models in medicine.

Numerical Method for Diffuse Interface Model with Application to Two-phase Flows

**Title of Presentation:**Numerical Method for Diffuse Interface Model with Application to Two-phase Flows

**Prof. To Fu Ma**

Professor

Universidade de Brasilia (Brazil)

Dr. To Fu Ma obtained his PhD from the University of Lisbon, and currently, he is full professor in the Department of Mathematics at the University of Brasilia in Brazil. He held a long time visiting position in the Department of Mathematics at Florida Institute of Technology in USA. His research interests are Dynamics of PDEs, Nonlinear Analysis and Mathematical Modelling.

Dynamics of Locally Damped Semilinear Bresse Systems

**Title of Presentation:**Dynamics of Locally Damped Semilinear Bresse Systems

**Prof. Marcio A. Jorge Silva**

Professor

Universidade Estadual de Londrina (Brazil)

Dr. M. A. Jorge Silva obtained his Ph.D. from the University of S~ao Paulo, Brazil, in 2012. He held a Postdoctoral position at the National Laboratory of Scientifc Computation, Brazil, in 2015. He got his Habilitation in 2018 at the University of S~ao Paulo, Brazil. He is currently Associate Professor in the Department of Mathematics at the State University of Londrina since 2010. His Research Scholarship is supported by the Brazilian agency CNPq since 2019. He is the current director of the Parana Society of Mathematics (SPM). His main research focuses on asymptotic analysis and qualitative theory for linear and nonlinear evolution equations in mathematical physics.

Extensible Beams with Balakrishnan-Taylor Damping Coeffcient: Intrinsic Polynomial Behavior and Long-time Dynamics

**Title of Presentation:**Extensible Beams with Balakrishnan-Taylor Damping Coeffcient: Intrinsic Polynomial Behavior and Long-time Dynamics

**Prof. Yalchin Efendiev**

Professor

Texas A & M University (USA)

- 2020 SIAM Fellow
- Honorary Professor from North Eastern Federal University, Russia, 2019
- 2017 Class of Fellows of AMS
- Plenary Speaker, International Society of Porous Media, May 2015
- 45 minute Invited Talk, International Congress of Mathematicians, South Korea, 2014 (the article in SCIENCE, TAMU)
- Plenary talk, SIAM Geosciences 2011.
- QRI Scolar, 2011
- Fraunhofer Bessel Award (Alexander von Humboldt Foundation), 2010
- The young researcher fellowship of Sixth U.S. National Congress on Computational Mechanics, August 2001
- W. P. Carey Prize for outstanding thesis work in applied mathematics, California Institute of Technology, 1999

**Title of Presentation:**

Author: Multicontinuum Models for Porous Media Fows and Applications

##### Date & Time

**Session I:**

Wednesday - March 16, 2022

@ 8:30 AM (KSA Time GMT +3)

**Session II:**

Thursday - March 17, 2022

@ 8:00 AM (KSA Time GMT +3)

##### Organized by

Mathematics DepartmentRegistration