Results 101 to 110 of about 18,491,428 (214)
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley +1 more source
計畫編號:NSC98-2115-M032-006研究期間:200908~201007研究經費:432,000本計畫主要在推廣Gupta及Liu的文章,他們各處理在不同條件下,三階三點的p-Laplacian方程。我們想把在Time Scales上的Lebeque積分理論及Höbler inequality等概念融入在他們的方程及証明過程,以期能獲得更一般化的結果。 This project is addressed to solvability of three-point boundary value
錢傳仁
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
wiley +1 more source
Coexistence, crossover and extirpation in coalescent communities and ecotones
When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley +1 more source
A prognostic nomogram integrating radiomic features and white matter hyperintensity (WMH) grading was developed to enable individualized survival prediction in patients with brain metastases (BMs). Integration of these imaging biomarkers into the clinical model enhanced predictive performance, indicating their incremental prognostic value for BM ...
Jianan Ni +7 more
wiley +1 more source
Asymptotic behavior of the solutions of the p-Laplacian equation
The asymptotic behavior of the solutions for p-Laplacian equations as p -> infinity is ...
赵俊宁, Zhao, J. N., Zhang, L. P.
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ABSTRACT The GTPase KRAS executes a conformational switch between a GTP‐bound active state and a GDP‐bound inactive state, a process central to oncogenic signaling. However, the structural basis of this switching at the level of residue‐contact organization remains incompletely characterized by traditional binary structural models.
Fatma Senguler Ciftci, Burak Erman
wiley +1 more source
$p$-Brownian motion and the $p$-Laplacian
Barbu V, Rehmeier M, Röckner M. $p$-Brownian motion and the $p$-Laplacian. The Annals of Probability. Accepted.In this paper we construct a stochastic process, more precisely, a (nonlinear) Markov process, which is related to the parabolic $p$-Laplace ...
Rehmeier, Marco +2 more
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