Results 51 to 60 of about 58,118 (188)
Multiplicity results involving p-biharmonic Kirchhoff-type problems
This paper deals with the existence of multiple solutions for the following Kirchhoff type equations involving p-biharmonic operator: − M ( ∫ Ω ( | Δ p u | 2 + | u | p ) d x ) ( Δ p 2 u − | u | p − 2 u ) = λ f ( x ) | u | q − 2 u + g ( x ) | u | m − 2 u ,
Ramzi Alsaedi
doaj +1 more source
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio +1 more
wiley +1 more source
On saturation of one linear method for summing Fourier series given by a function set
The paper considers the issues of saturation in the spaces $C$ and $L_p$, $p\in [1;\infty )$ of the biharmonic Poisson operator, in particular, the order and class of saturation are found.
A.M. Shutovskyi, Yu.I. Kharkevych
doaj +1 more source
Flow Decomposition by Optimal Balance With Time‐Averaging
Abstract Decomposing oceanic and atmospheric flow fields into their slowly evolving balanced components and fast evolving wave components is essential to study processes like spontaneous or stimulated wave emission. However, a decomposition into the linear geostrophic (slow) and non‐geostrophic (fast) components is often not precise enough to address ...
Silvano Gordian Rosenau +2 more
wiley +1 more source
Nonuniformly nonlinear elliptic equations of p-biharmonic type
This paper deals with the existence and multiplicity of weak solutions to nonlinear differential equations involving a general p-biharmonic operator (in particular, p-biharmonic operator) under Dirichlet boundary conditions or Navier boundary conditions.
Weihua Wang +3 more
core +1 more source
Cold Pool Formation Over the Taiwan Bank Driven by Shoaling Internal Tides
Abstract Cold, saline, and chlorophyll‐rich surface waters are frequently observed over the Taiwan Bank in the southern Taiwan Strait, forming a distinct feature referred to as the Green–Cold Pool (GCP). Despite its ecological importance, the physical mechanisms sustaining this cold pool remain unclear.
Ming‐Huei Chang +5 more
wiley +1 more source
Existence of solutions for perturbed fourth order elliptic equations with variable exponents
Using variational methods, we study the existence and multiplicity of solutions for a class of fourth order elliptic equations of the form $$ \begin{cases} \Delta^2_{p(x)}u-M\left(\int_\Omega\frac{1}{p(x)}|\nabla u|^{p(x)}\,dx\right)\Delta_{p(x)} u = f(x,
Nguyen Thanh Chung
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Assessing Data‐Driven Eddy‐Parameterizations in an Atlantic Sector Model
Abstract Mesoscale eddies are the dominant reservoir of kinetic energy (KE) in the ocean and a key component of the Earth's climate system. Current state‐of‐the‐art climate models can only partially resolve mesoscale processes due to the limited spatial resolution imposed by computational resources, making the accurate parameterization of unresolved KE
David Kamm +4 more
wiley +1 more source
Implicit equations Involving The p-Biharmonic Operator
In this research, we will study the existence of weak solutions for a class of implicit elliptic equations involving the p-biharmonic operator. Using a Krasnoselskii-Schaefer type theorem we establish our result, extending and complementing those obtained by R. Precup, 2020, and P.C. Carriao et al., 2009.
Eugenio Cabanillas Lapa +2 more
openaire +1 more source
Thermal Damage to the Skin From 5.6 GHz Microwave Exposures in Swine
ABSTRACT A study of burn thresholds from superficially penetrating radio‐frequency (RF) energy at 5.6 GHz for swine skin was conducted. The study estimated the thresholds for superficial, partial‐thickness, and full‐thickness burn severities after 20 s of exposure at power densities of 4–8 W/cm2. Biopsies were collected from each burn site at 1, 24, 72,
James E. Parker +7 more
wiley +1 more source

