Results 151 to 160 of about 26,053 (259)

Remarks on the complex Euler equations

Communications on Pure and Applied Analysis
We consider a complexification of the Euler equations introduced by Šverák which conserves energy. We prove that these complex Euler equations are nonlinearly ill-posed below analytic regularity and, moreover, we exhibit solutions which lose analyticity in finite time. Our examples are complex shear flows and, hence, one-dimensional.
Albritton, Dallas, Ogden, W. Jacob
openaire   +2 more sources

Promoting the Mathematization of Physics: Hermann Minkowski's Draft Presentations of His 1908 “Grundgleichungen” Paper

Berichte zur Wissenschaftsgeschichte, EarlyView.
I present and discuss two drafts of remarks prepared by the mathematician Hermann Minkowski (1864–1909). They were composed in December 1907 while preparing his paper on the “Basic Equations of Electromagnetic Processes in Moving Bodies” for publication in the Proceedings of the Göttingen Academy of Sciences.
Tilman Sauer
wiley   +1 more source

Multi‐Scale Hybrid Modeling to Predict Cell Culture Process With Metabolic Phase Transitions

Biotechnology and Bioengineering, EarlyView.
ABSTRACT To advance understanding of cellular metabolism and reduce batch‐to‐batch variability in cell culture processes, this study introduces a multi‐scale hybrid modeling framework designed to simulate and predict the dynamic behavior of CHO cell cultures undergoing metabolic phase transitions.
Keqi Wang, Sarah W. Harcum, Wei Xie
wiley   +1 more source

On the Prediction of pDNA Productivity Across Diverse Bioprocesses Using Ensemble Hybrid Models

Biotechnology and Bioengineering, EarlyView.
ABSTRACT The global demand for plasmid DNA (pDNA) is rapidly increasing due to its key role in the manufacture of mRNA vaccines and advanced therapy medicinal products (ATMPs). However, the reliance on suboptimal batch and/or fed‐batch processes, as well as the diversity and increasing complexity of plasmid constructs pose significant challenges during
Nikolaos Stratis, Massimo Morbidelli, Alexandros Kiparissides   +2 more
wiley   +1 more source

The Nash Embedding Theorem and Weak Solutions of the Euler Equations (Fluid Mechanics)

This work consists of a monograph whose object of study was the mechanism implemented by De Lellis and Székelyhidi to prove the existence of weak solutions of Euler equations, highlighting the relationship between this and the mechanism implemented to ...
Buitrago Roldan, Santiago
core   +1 more source

A Modular Mechanistic In Silico Model for In Vitro Transcription Process Yield and Product Quality Prediction

Biotechnology and Bioengineering, EarlyView.
ABSTRACT In vitro transcription (IVT) plays a critical role in the manufacture of mRNA vaccines and therapeutics. Optimizing mRNA yield and ensuring product quality, such as capping efficiency and integrity, are essential but mechanistically complex. This study presents a modular mechanistic model of the IVT process to advance scientific understanding ...
Keqi Wang, Keilung Choy, Eli Reiser, Jinxiang Pei, Hua Zheng, Aparajita Dasgupta, Fuqiang Cheng, Guogang Dong, Bhanu Chandra Mulukutla, Joshua Mannheimer, Carolyn Huang, Hooman Farsani, Wei Xie   +12 more
wiley   +1 more source

Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions

Open Mathematics
In this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang, Huang Lehui, Cheng Lin, You Xiaoguang   +3 more
doaj   +1 more source

Quasi-exact Approximation of Hidden Markov Chain Filters [PDF]

This paper studies the application of exact simulation methods for multi-dimensional multiplicative noise stochastic differential equations to filtering.
Eckhard Platen, Renata Rendek
core  

Computational Aerodynamics on unstructed meshes [PDF]

, 2004
New 2D and 3D unstructured-grid based flow solvers have been developed for simulating steady compressible flows for aerodynamic applications. The codes employ the full compressible Euler/Navier-Stokes equations.
Zheng, Yun
core  

Dynamic, Unconstrained Optimization of Secreted Enzyme Production in Fed‐Batch Fermentation Using Reinforcement Learning

Biotechnology and Bioengineering, EarlyView.
ABSTRACT Reinforcement learning (RL) has been used to control a wide range of dynamic processes, especially ones that are too complex to model well or have stochastic environmental perturbations. Fed‐batch fermentations are subject to changes in starting cell growth rates and process variations that can affect cell growth and secreted target production.
Sai Harish Uthravalli, Sakib Ferdous, J. Michael Hess, Nigel F. Reuel   +3 more
wiley   +1 more source