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Contents

[CT149]

CT149 (1/1) : Multiphase and multicomponent flows (76T) / Equilibrium statistical mechanics (82B) / Stability of control systems (93D) / Rarefied gas flows, Boltzmann equation in fluid mechanics (76P)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @D402
Type : Contributed Talk
Abstract : The purpose of this study is to develop a multiphase mathematical model based on interstitial hydrodynamics and tissue deformation mechanics within an in vitro solid tumor. We use classical mixture theory to derive the balance equations for mass and momentum. The study makes a significant contribution by treating hydraulic resistivity as anisotropic and heterogeneous, which leads to strongly coupled and nonlinear PDEs. We further establish existence and uniqueness result in a weak sense.
Classification : 76Txx, 76Zxx, 35Q74, 35D30, Analysis of nonlinear partial differential equations
Format : Talk at Waseda University
Author(s) :
- Meraj Alam (Mahindra University, Hyderabad)
- Adrian Muntean (University of Karlstad)
- Raja Sekhar G P (Indian Institute of Technology Kharagpur India)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @D402
Type : Contributed Talk
Abstract : I demonstrate the Boltzmann equation with the generalized collision invariants. We investigate the dissipation process and transport characteristics obtained by such Boltzmann equation with the generalized collision invariants. Such results also imply the characteristics of fluids with anomalous diffusion.
Classification : 82Bxx, 93A16
Format : Talk at Waseda University
Author(s) :
- Ryosuke Yano (Tokio Marine dR. Co., Ltd.)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @D402
Type : Contributed Talk
Abstract : In this paper, we find necessary and sufficient conditions to identify pairs of matrices $X$ and $Y$ for which there exists $\Delta \in \mathbb C^{n,n}$ such that $\Delta+\Delta^*$ is positive semidefinite and $\Delta X=Y$. Such a $\Delta$ is called a dissipative mapping taking $X$ to $Y$. The minimal-norm dissipative mapping is then used to determine the distance to asymptotic instability for dissipative-Hamiltonian systems under general structure-preserving perturbations.
Classification : 93Dxx, 65Fxx, 34Axx
Format : Online Talk on Zoom
Author(s) :
- Mohit Kumar Baghel (Indian Institute of Technology Delhi)
- Nicolas Gillis (Université de Mons)
- Punit Sharma (Indian Institute of Technology Delhi)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @D402
Type : Contributed Talk
Abstract : This contributed talk aimed to present the information governance frameworks , In order to answer to the problem of the study, first we will present the information governance definition and importance, the information governance frameworks, then we'll show the COBIT as one of the important frameworks, its benefits and its principles, finally the study concluded that COBIT is a framework that ensure an optimum information technology.
Classification : 93Dxx, 93Axx, 93-00
Format : Online Talk on Zoom
Author(s) :
- Amina Feddaoui (Chadli Bendjedid university el tarf)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @D402
Type : Contributed Talk
Abstract : Computational complexity grows exponentially in a grid-based approach to modeling the Boltzmann equation as dimensionality increases. Scalable low-rank tensor decomposition techniques have been developed to mitigate such issues, but challenges remain when applying real-world boundary conditions in engineering systems with complex geometries. To address these challenges, we propose a novel hybrid algorithm where quad-tree adaptive mesh refinement (AMR) is applied in real space while a low-rank approximation is used in velocity space.
Classification : 76P05, 35Q83, 65M50
Author(s) :
- Samuel Jun Araki (Jacobs Technology Inc. / Air Force Research Laboratory)