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The AIMS Conference Series
Contributed Session 2: PDEs and Applications
Parallel Session 1 :: Monday, 07/06, 13:30 – 16:00
13:30-13:50
Tarek Acila
(University of Warwick, England)
Analysis of a Coupled Cahn-Hilliard Cross-Diffusion System for Lipid Raft-Receptor Dynamics on Cell Membranes
13:50-14:10
N N Dattatreya
(Indian Institute of Technology Kanpur, India)
Large Solutions for Linear and Semi-linear Equations Involving Fractional Laplacian on Infinite Cylinder
14:10-14:30
Salim B Ivars
(ICFO, Spain)
Orbiting solitons in Kerr cavities with anomalous GVD
14:30-14:50
Haesung Lee
(Department of Mathematics and Big Data Science, Kumoh National Institute of Technology, Korea)
Pointwise well-posedness results for degenerate It\^{o}-SDEs with locally bounded drifts
14:50-15:10
Gaukhar Shaikhova
(LN Gumilyov Eurasian National University, Kazakhstan)
Nonlocal reductions and solutions of the (2+1)-dimensional Hirota equations
15:10-15:30
Jiangwen Wang
(School of Mathematics, Southeast University, Peoples Rep of China)
Regularity of solutions to degenerate normalized p-Laplacian equation with general variable exponents
15:30-15:50
Xiangjian Zeng
(Institute of Mathematics of Polish Academy of Science, Poland)
Normalized solutions for the planar Schr\{o}dinger-Poisson system
Parallel Session 2 :: Monday, 07/06, 16:30-19:00
16:30-16:50
Ayush Agarwal
(Indian Institute of Technology Roorkee, India)
A Posteriori Error Analysis of the Nitsche Method for the Stokes-Poisson-Boltzmann System with Navier Slip Boundary Conditions
16:50-17:10
Francisco de la Hoz
(University of the Basque Country, Spain)
Numerical Solution of Caputo-Type Advection--Diffusion Equations via Shifted Chebyshev Pseudospectral Methods and Sylvester Equations
17:10-17:30
Jelena Jankov Pavlovic
(School of Applied Mathematics and Informatics, Croatia)
H-convergence theory for anisotropic bending rods
17:30-17:50
Shammi Malhotra
(Indian Institute of Technology Delhi, India)
Asymptotic behaviour and existence of positive solutions for mixed local nonlocal elliptic equations with Hardy potential
17:50-18:10
Nidhi Shukla
(University of Southampton, UK; Indian Institute of Technology Roorkee, India, England)
Data-Driven Predictive Control for 2D Systems
18:10-18:30
Zhiqiang Wang
(Anhui University, Peoples Rep of China)
Reducibility of quantum harmonic oscillators
Parallel Session 3 :: Tuesday, 07/07, 8:00-10:00
8:00-8:20
Meraj Alam
(Mahindra University, Hyderabad, India)
Existence and Uniqueness Analysis of a Nonlinear Biphasic Mixture Model
8:20-8:40
Francisco de la Hoz
(University of the Basque Country, Spain)
On a Matrix-Based Spectral Approximation of the Fractional Laplacian and Fractional $p$-Laplacian on $\mathbb{R}^n$
8:40-9:00
Xue Jiang
(Beijing University of Technology, Peoples Rep of China)
Wave-number-explicit analysis for maxwell`s equation with DtN truncation
9:00-9:20
Shuai Miao
(School of Mathematics and Statistics at Xi'an Jiaotong University, Peoples Rep of China)
Optimal L2 error quadratic serendipity finite volume element methods for diffusion equations on polygonal meshes
9:20-9:40
Jacson Simsen
(Institute of Mathematics and Computing, Federal University of Itajub\`a, Brazil, Brazil)
On attractors for evolution problems with variable exponents
Parallel Session 4 :: Tuesday, 07/07, 13:30-16:00
13:30-13:50
Ashot Aleksian
(Heriot-Watt University, Scotland)
A PDE Perspective on Averaging for Slow-fast Systems
14:10-14:30
Jyoti Jindal
(Indian Institute of Technology, Roorkee, India)
A domain hemivariational inequality for 2D and 3D convective Brinkman-Forchheimer extended Darcy equations
14:30-14:50
Ruba Murhaf
(Khalifa University, United Arab Emirates)
Nonlinear Schr\{o}dinger Equation for Electron Plasma (Langmuir) Waves in a Two--Electron-Fluid Plasma Model
14:50-15:10
Shuai Su
(Beijing University of Technology, Peoples Rep of China)
Positivity-preserving finite volume schemes for radiation diffusion equations on general meshes
15:10-15:30
Qi Xin
(The Chinese University of Hong Kong, Shenzhen, and SICIAM, SRIBD, Peoples Rep of China)
On the inf-sup Degradation in Dense Microfluidic Arrays and a Robust Preconditioning Strategy for Stokes Flow
Parallel Session 5 :: Tuesday, 07/07, 16:30-19:00
16:30-16:50
Nayeon Kim
(KAIST, Korea)
Asymptotic Stability towards superposition of rarefaction and shock of the 1D Jin-Xin relaxation model for the p-system
16:50-17:10
Tomasz W. Dlotko
(Institute of Mathematics, University of Silesia in Katowice, Poland)
On damped fractional Navier-Stokes equations
17:10-17:30
Urvashi Joshi
(IIT Roorkee, India)
Self-Similarity and Physics-Informed Neural Networks for Spherical Shock Waves in a Non-Ideal Radiating Gas
17:30-17:50
Karuppasamy Murugan
(Central University of Tamil Nadu, India)
Trotto Kato Approximation of Diffusion Transport Equation with Dynamical Boundary Conditions
17:50-18:10
Chuanlong Sun
(Southeast University, Peoples Rep of China)
Isometric Study of Wasserstein Spaces- Bounded Intervals
18:10-18:30
Qi Xin
(The Chinese University of Hong Kong, Shenzhen, and SICIAM, SRIBD, Peoples Rep of China)
On the inf-sup Degradation in Dense Microfluidic Arrays and a Robust Preconditioning Strategy for Stokes Flow
Parallel Session 6 :: Wednesday, 07/08, 8:00-10:00
8:00-8:20
Brahim Alouini
(University of Monastir, Faculty of Sciences of Monastir, Research Laboratory Analysis, Probabilities and Fractals LR18ES17, Tunisia)
On the asymptotic behavior of solutions to a dissipative nonlocal NLS type equation
8:20-8:40
Maria Farcaseanu
(The University of Sydney, Australia & ISMMA, Romania, Australia)
Nonlinear elliptic equations with singular potentials and gradient-dependent nonlinearities
8:40-9:00
Greeshma K
(Indian Institute of Science Education and Research, Thiruvananthapuram, India)
POINTWISE TRACKING APPROXIMATE CONTROLLABILITY FOR THE CAHN-HILLIARD EQUATION
9:00-9:20
Tianyi Pan
(New York University, Shanghai., Peoples Rep of China)
Mixing for stochastic PDEs driven by spatially localized white-in-time noises
9:40-10:00
McCusker Joseph
(University of Birmingham, England)
A heterogeneous nonlocal advection--diffusion equation
Parallel Session 7 :: Wednesday, 07/08, 13:30-16:00
13:30-13:50
Davide Aruta
(Scuola Superiore Meridionale, Italy)
Stochastic Homogenization of Nonconvex Unbounded Integral Functionals with Generalized Orlicz Growth
13:50-14:10
Moritz Immanuel MIG Gau
(WIAS Berlin, Germany)
Relaxation limits of a viscoelastic phase separation model to three classical phase separation models
14:10-14:30
Seungyoon Kang
(National Institute for Mathematical Sciences, Korea)
Unconditionally stable numerical solution for the high-order Allen-Cahn equation
14:30-14:50
Sarbani Pramanik
(Indian Institute of Science Education and Research Thiruvananthapuram, India)
Global multiplicity and Hopf-type comparison principle for singular problems driven by mixed local-nonlocal operators
14:50-15:10
Arrianne Crystal Velasco
(Institute of Mathematics, University of the Philippines Diliman, Philippines)
Modeling the Dispersion of Taal Volcanic Ash Using the Advection-Diffusion Equation
15:10-15:30
Yunfeng Xiong
(School of Mathematical Sciences, Beijing Normal University, Peoples Rep of China)
Beyond quantum mean-field approximation: Phase space formulation of many-body time-dependent density functional theory and efficient spectral approximations
Parallel Session 8 :: Wednesday, 07/08, 16:30-18:00
16:30-16:50
Imen BENABBAS
(University of Science and Technology Houari Boumediene, Algeria)
Global Well-posedness and decay of the Westervelt-hyperbolic Pennes system
16:50-17:10
Sagar Gautam
(Indian Institute of Technology Roorkee, India)
Kolmogorov equations for stochastic convective Brinkman-Forchheimer equations forced by L\`evy Noise and its application to infinite horizon problems
17:10-17:30
Nurbol Koshkarbayev
(Institute of Mathematics and Mathematical Modeling, Kazakhstan)
Numerical solution of Korteweg-de Vries equation with moving boundaries
17:30-17:50
Asmita Rai
(Indian Institute of Technology (BHU), Varanasi, India)
Normalized solutions for fractional Choquard equation with critical growth on bounded domain
Parallel Session 9 :: Thursday, 07/09, 8:00-10:00
8:00-8:20
Konstantinos Bessas
(University of Pavia, Italy)
Generalized BMO-type seminorms and vector-valued Sobolev functions
8:20-8:40
Dimitris Giannakis
(Dartmouth College, USA)
Quantum mechanical closure of partial differential equations with symmetries
8:40-9:00
Hung-Wen Kuo
(National Cheng Kung University, Taiwan)
Initial layer for the Boltzmann equation
9:00-9:20
Gonzalo Romera
(University of Basque Country, Spain)
A theoretical analysis on the inversion of matrices via Neural Networks designed with Strassen algorithm
9:20-9:40
Akhilesh Verma
(Indian Institute of Technology Roorkee, India, India)
Controllability Criteria for Semilinear Measure Driven Evolution Systems with Impulses and Nonlocal Inclusions
Parallel Session 10 :: Thursday, 07/09, 13:30-16:00
13:30-13:50
Suleyman Cengizci
(Antalya Bilim University, Turkey)
Bridging machine learning and stabilized FEM: a hybrid PINN-SUPG framework for 3D transport equations
13:50-14:10
xinping gui
(Scuola Internazionale Superiore di Studi Avanzati (SISSA), Italy)
A space-time discontinuous Galerkin method for parabolic problems on moving domains with agglomerated polytopic meshes
14:10-14:30
Shunsuke Kurima
(Kanagawa University, Japan)
Global existence for a nonisothermal and conserved phase field system with inertial term
14:30-14:50
Daurenbek Serikbaev
(Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan)
Reconstruction of a Source Term in a Hyperbolic Equation
14:50-15:10
Domagoj Vlah
(University of Zagreb Faculty of Electrical Engineering and Computing, Croatia)
AE-ViT: Stable Long-Horizon Prediction of Parametric PDE Solution
15:10-15:30
Linfeng Xu
(University of Science and Technology of China, Peoples Rep of China)
Spreading speeds of almost periodic KPP equations with slow decay initial values
Parallel Session 11 :: Thursday, 07/09, 16:30-19:00
16:30-16:50
Monti Das
(Indian Institute of Technology Guwahati, India)
Finsler $N$-Laplace equations with critical exponential nonlinearity
16:50-17:10
Shilpa Gupta
(Indian Institute of Technology, India)
Elliptic and Parabolic Problems Involving the Anisotropic $\vec{\textbf{p}}(u)$-Laplacian
17:10-17:30
Gyeonggyu Lee
(National Institute for Mathematical Science, Korea)
Thermodynamical Allen-Cahn equation with general polynomial free energy
17:30-17:50
Narges Shabgard
(University of New England, Australia)
Propagation through a barrier: Numerical analysis of a reaction diffusion model with free boundary
17:50-18:10
Anja Vrbaski
(University of Zagreb, Croatia)
An existence result for the two-phase two-component flow in porous media
18:10-18:30
Yidan Yang
(Xiamen University, Peoples Rep of China)
A hybrid ROM-FOM framework for efficient solution of elliptic PDE inverse problems