First and second sharp constants in Riemannian Gagliardo–Nirenberg inequalities
Abstract Let (M,g)$(M,g)$ be a smooth compact Riemannian manifold of dimension n≥2$n\ge 2$, 1+1 more source
Stability Analysis of the Explicit Difference Scheme for Richards Equation. [PDF]
Liu F, Fukumoto Y, Zhao X.
europepmc +1 more source
Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Abstract We consider the quasi‐geostrophic equation with its principal part (−Δ)α${(-\mathrm{\Delta})^{\alpha}}$ for α>1/2$\alpha >1/2$ in Rn$\mathbb {R}^n$ with n≥2$n \ge 2$. We show that for every initial data θ0∈Ḃr,q1−2α+nr$\theta _0 \in \dot{B}^{1-2\alpha + \frac{n}{r}}_{r, q}$ with 1
Hideo Kozono +2 more
wiley +1 more source
(N,q)$(N,q)$‐Laplacian equations with one‐sided critical exponential growth
Abstract We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the (N,q)$(N,q)$‐Laplacian with one‐sided critical exponential growth in a bounded domain Ω⊂RN$\Omega \subset \mathbb {R}^{N}$. The first solution is obtained as a local minimizer of the associated energy functional;
Elisandra Gloss +2 more
wiley +1 more source
ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley +1 more source
Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem
ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider +4 more
wiley +1 more source
Cenozoic Subduction Polarity Reversal Within the Celebes Sea Inferred From Teleseismic Tomography
Abstract Sulawesi and Borneo are tectonically complex islands with multistage subduction histories stretching back through the Cenozoic. Seismic studies have played an important role in helping to unravel this history, with spatial distributions of earthquakes tracking actively subducting slabs. In contrast, old or relict aseismic slabs are illuminated
Y. Li +6 more
wiley +1 more source
Construction of the optimal quadrature formula in L2(2,0)(0, 1) space by Sobolev’s method [PDF]
Kholmat Shadimetov, Javlon Davronov
openalex +1 more source
Slab Gap‐Related Intraplate Magmatism as a Proxy of Maximum Flat Slab Extent in Patagonia
Abstract Establishing the frontal extent of ancient flat subduction events from the geologic record can be challenging. This difficulty arises because magmatic activity in the arc typically ceases during complete slab flattening, and other meaningful proxies are usually absent. To address this issue, we examine early Paleocene intraplate magmatic units
C. R. Navarrete +3 more
wiley +1 more source
The Arctic Coastal Erosion Model: Overview, Developments, and Calibration at Drew Point, Alaska
Abstract Permafrost coastlines are experiencing significant erosion as polar amplification has enhanced the effects of climate change in the Arctic. Warmer temperatures are increasing thermo‐denudation and more energetic oceans are increasing thermo‐abrasion in unlithified, ice‐bonded permafrost coastlines which comprise at least 40% of the circum ...
Elyce Bayat +10 more
wiley +1 more source

