Results 31 to 40 of about 7,606 (111)
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
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]
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
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
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
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]
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
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
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
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
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

