Results 41 to 50 of about 26,431 (199)

Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation

open access: yes, 2015
We study the Allen-Cahn equation with a cubic-quintic nonlinear term and a stochastic $Q$-trace-class stochastic forcing in two spatial dimensions. This stochastic partial differential equation (SPDE) is used as a test case to understand, how numerical ...
Kuehn, Christian
core   +2 more sources

Thermal Conductance and Mass Transport of Brinkman‐Type Nanofluids Across Porous Plates: A Prabhakar‐Fractional Approach

open access: yesAsia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The paper establishes an advanced computing algorithm to investigate the thermosolutal dynamics of an electrically conductive Brinkman‐type nanofluid that moves in a porous channel, and the fluid is acted on by an inclined magnetic field exerted externally.
Urwa Shehbaz   +4 more
wiley   +1 more source

Complex plane representations and stationary states in cubic and quintic resonant systems

open access: yes, 2019
Weakly nonlinear energy transfer between normal modes of strongly resonant PDEs is captured by the corresponding effective resonant systems. In a previous article, we have constructed a large class of such resonant systems (with specific representatives ...
Biasi, Anxo, Bizon, Piotr, Evnin, Oleg
core   +1 more source

Radiation‐Absorptive Heat Transport in Buoyancy‐Driven MHD Nanofluids Flow With Cross‐Diffusion and Chemical Interaction Effects Over a Vertical Moving Plate

open access: yesAsia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This article investigates the Soret–Dufour cross‐diffusion effects on radiation‐absorptive unsteady free‐convection of magnetized nanofluids (TiO2–water$$ {\mathrm{TiO}}_2\hbox{--} \mathrm{water} $$ and Cu–water$$ \mathrm{Cu}\hbox{--} \mathrm{water} $$) flow over a vertical moving permeable plate.
B. Prabhakar Reddy   +2 more
wiley   +1 more source

Locally Homogeneous Spaces, Induced Killing Vector Fields and Applications to Bianchi Prototypes

open access: yes, 2012
An answer to the question: Can, in general, the adoption of a given symmetry induce a further symmetry, which might be hidden at a first level? has been attempted in the context of differential geometry of locally homogeneous spaces. Based on E. Cartan's
Cartan É.   +3 more
core   +1 more source

Addressing Small Data Challenges in Biopharmaceutical Development and Manufacturing: A Mini Review of Multi‐Fidelity Techniques

open access: yesBiotechnology and Bioengineering, EarlyView.
ABSTRACT The growing demand for biopharmaceutical products reflects their effectiveness in medical treatments. However, developing new biopharmaceuticals remains a major bottleneck, often taking up to a decade before market approval. Machine learning (ML) models have the potential to accelerate this process, but their success depends on access to large
Mohammad Golzarijalal   +2 more
wiley   +1 more source

Periodic motions galore: How to modify nonlinear evolution equations so that they feature a lot of periodic solutions

open access: yes, 2002
A simple trick is illustrated, whereby nonlinear evolution equations can be modified so that they feature a lot - or, in some cases, only -- periodic solutions.
Calogero, F., Francoise, J-P
core   +2 more sources

Successful Revascularization of Chronic Total Occlusions in Patients With Chronic Thromboembolic Pulmonary Disease

open access: yesCatheterization and Cardiovascular Interventions, EarlyView.
ABSTRACT Background Chronic thromboembolic pulmonary disease (CTEPD) leads to chronic total occlusions (CTOs) of the pulmonary arteries in a minority of patients. Treatment of CTOs with balloon pulmonary angioplasty (BPA) may substantially improve patient hemodynamics but presents unique technical challenges and has previously been associated with a ...
Elliot J. Stein   +4 more
wiley   +1 more source

Koopman operator-based model reduction for switched-system control of PDEs

open access: yes, 2019
We present a new framework for optimal and feedback control of PDEs using Koopman operator-based reduced order models (K-ROMs). The Koopman operator is a linear but infinite-dimensional operator which describes the dynamics of observables.
Klus, Stefan, Peitz, Sebastian
core   +1 more source

Optimization of 3D‐Printed Structured Packings—Current State and Future Developments

open access: yesChemie Ingenieur Technik, EarlyView.
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke   +3 more
wiley   +1 more source

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