Results 161 to 170 of about 1,298,028 (310)

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati   +2 more
wiley   +1 more source

Front Propagation Through a Perforated Wall

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki   +2 more
wiley   +1 more source

A Geometric Characterization of Steady Laminar Flow

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley   +1 more source

Subthreshold Time‐Mode All‐Digital DLL With Built‐In Linearization

open access: yesInternational Journal of Circuit Theory and Applications, EarlyView.
This paper presents a subthreshold time‐mode all‐digital delay‐locked loop (DLL) for low‐frequency clock generation. The large and tunable delay of the DLL is obtained using a static inverter delay line whose supply voltage is in the vicinity of 100 mV and adjustable by varying supply voltage. Phase error is processed by a time‐mode proportional block (
Fei Yuan, Wenhao Wu, Yushi Zhou
wiley   +1 more source

Recognizing Sketches of Euler Diagrams Drawn with Ellipses [PDF]

open access: yes, 2010
Euler diagrams form the basis of a number of visual languages. However, the existing tool support for creating Euler diagrams is limited to generic diagram editing software that uses mouse and keyboard interfaces.
Rodgers, Peter   +3 more
core  

The Virial Expansion of the Hydrogen Equation of State in Comparison to PIMC Simulations: The Quasiparticle Concept, IPD, and Ionization Degree

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke   +3 more
wiley   +1 more source

ON EULER NUMBERS

open access: yesMemoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1973
openaire   +3 more sources

Improved Conservative Scheme for Lenard‐Bernstein Collisions in Gyrokinetic Turbulence Simulations

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT Turbulence in the edge and scrape‐off layer regions plays a critical role for the performance of future magnetic confinement fusion power plants. Gyrokinetic simulations allow studying this regime with high fidelity. A key aspect in these regions is the high concentration of impurities, which can radiate energy, leading to significant losses ...
Andrew Ivan Sulimro   +3 more
wiley   +1 more source

On the Formulation of Euler’s Number

open access: yes
This paper proposes a novel approach to formulating Euler's number (e), a fundamental constant in calculus. The study introduces a new formula for e, which plays a crucial role in various scientific fields including mathematics, physics, biology, and finance. The formula demonstrates that e uniquely characterizes the structure of exponentiation.
openaire   +1 more source

Seismic analysis and design of tunnels within fault ground: A review

open access: yesDeep Underground Science and Engineering, EarlyView.
The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang   +6 more
wiley   +1 more source

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