Results 31 to 40 of about 7,606 (111)

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Rate of Convergence of Implicit Approximations for stochastic evolution equations [PDF]

open access: yes, 2006
Stochastic evolution equations in Banach spaces with unbounded nonlinear drift and diffusion operators are considered. Under some regularity condition assumed for the solution, the rate of convergence of implicit Euler approximations is estimated under ...
Gyöngy, Istvan, Millet, Annie
core   +6 more sources

Fuzzy Fluid Mechanics in Three Dimensions

open access: yes, 2007
We introduce a rotation invariant short distance cut-off in the theory of an ideal fluid in three space dimensions, by requiring momenta to take values in a sphere. This leads to an algebra of functions in position space is non-commutative.
Arnold V. I.   +4 more
core   +1 more source

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

Droplet Impact on Superhydrophobic Surfaces Under High Pressures

open access: yesSmall Methods, Volume 10, Issue 3, 9 February 2026.
A phenomenological model of droplet impact under high ambient pressure (up to 200 bar) revealing unique phenomena of gas entrapment and satellite droplet retention, affected by substrate morphology and ambient pressure. Abstract Though numerous studies on droplet impact have been conducted, the maximum ambient pressure reported is limited to 100 bar ...
Yan Yan   +4 more
wiley   +1 more source

A Generalization of Caffarelli's Contraction Theorem via (reverse) Heat Flow [PDF]

open access: yes, 2011
A theorem of L. Caffarelli implies the existence of a map pushing forward a source Gaussian measure to a target measure which is more log-concave than the source one, which contracts Euclidean distance (in fact, Caffarelli showed that the optimal ...
Kim, Young-Heon, Milman, Emanuel
core  

Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations

open access: yes, 2018
In this work, we apply stochastic collocation methods with radial kernel basis functions for an uncertainty quantification of the random incompressible two-phase Navier-Stokes equations.
Griebel, Michael   +2 more
core   +1 more source

Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej   +3 more
wiley   +1 more source

Neural Operators for Continuous Bias Correction of Water Level Forecast Guidance

open access: yesJournal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 1, February 2026.
Abstract The National Oceanic and Atmospheric Administration's (NOAA) Global Two‐Dimensional Surge and Tide Operational Forecast System (STOFS‐2D‐Global) provides global operational tidal, subtidal, and total water level forecast guidance with a 7.5‐day horizon.
Atieh Alipour   +10 more
wiley   +1 more source

Boundary spike‐layer solutions of the multi‐dimensional singular Keller–Segel system: Existence, profiles and stability

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo   +3 more
wiley   +1 more source

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