Results 41 to 50 of about 414 (185)

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

A counterexample to an endpoint bilinear Strichartz inequality

Electronic Journal of Differential Equations, 2006
The endpoint Strichartz estimate $$ | e^{itDelta} f |_{L^2_t L^infty_x(mathbb{R} imes mathbb{R}^2)} lesssim |f|_{L^2_x(mathbb{R}^2)} $$ is known to be false by the work of Montgomery-Smith [2], despite being only "logarithmically far" from being true in ...
Terence Tao
doaj  

Paraproducts for bilinear multipliers associated with convex sets

Mathematische Annalen, 2022
AbstractWe prove bounds in the local $$ L^2 $$ L 2 range for exotic paraproducts motivated by bilinear multipliers associated with convex sets. One result assumes an exponential boundary curve. Another one assumes a higher order lacunarity condition.
Olli Saari, Christoph Thiele
openaire   +2 more sources

Boundedness criterion for bilinear Fourier multiplier operators [PDF]

Tohoku Mathematical Journal, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miyachi, Akihiko, Tomita, Naohito
openaire   +3 more sources

Weak‐Story Mitigation and Drift Redistribution in Moment‐Resisting Frames Using Stepping Rocking Walls

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT This study investigates the seismic response of moment‐resisting frames retrofitted with a stepping rocking wall, with emphasis on weak‐story mitigation and residual drift reduction under both ordinary and pulse‐like ground motions. Nonlinear response‐history analyses are conducted on 9‐story and 20‐story SAC Los Angeles frames.
Mehrdad Aghagholizadeh
wiley   +1 more source

Orthogonality of the bilinear Fourier multiplier in the modulation spaces [PDF]

SCIENTIA SINICA Mathematica, 2018
In this paper, we consider the boundedness of the bilinear Fourier multipliers on modulation spaces.We prove that if a family of bilinear Fourier multipliers is bounded and has some orthogonality, the sum of these bilinear Fourier multipliers is also bounded on modulation spaces.As a corollary, we give the necessary and sufficient conditions for the ...
Guo Weichao, Zhao Guoping, Zhao Weiren
openaire   +1 more source

Surrogate‐Based Time‐Continuous Seismic Fragility Assessment of Corrosion‐Deteriorated Reinforced Concrete Bridges Under Climate Change

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT Seismic fragility assessment of reinforced concrete (RC) bridges exposed to corrosive environments must reliably capture time‐dependent deterioration impacts. Climate change compounds this challenge through nonstationary temperature and humidity variations that accelerate bridge corrosion.
Yexiang Yan, Yazhou Xie
wiley   +1 more source

Immersed Boundary Projection Method for Boundaries With Slip Velocities

International Journal for Numerical Methods in Fluids, EarlyView.
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley   +1 more source

Significant Imbalance Between Human Activities and Ecosystem Services in the Tibet Autonomous Region of China: Evidence From an Improved Coupling Coordination Degree Model

Land Degradation &Development, EarlyView.
ABSTRACT Maintaining balanced interactions between humans and ecosystems in plateau regions is critical to achieving global sustainable development. However, existing methodologies are insufficient to fully elucidate the complex coupling and coordination relationships between human activities and ecosystems, as well as the sustainable development ...
Yaohang Sun, Dongxia Yue, Jianjun Guo, Hanhua Deng, Jiaoyu Zheng, Gang Jin   +5 more
wiley   +1 more source

On the bilinear cone multiplier

For $f,g \in \mathscr{S}(\R^n), n\geq 3$, consider the bilinear cone multiplier operator defined by \[{T}^λ_{R}(f,g)(x):=\int_{\mathbb{R}^{2n}}m^λ\left(\frac{ξ'}{Rξ_n},\frac{η'}{Rη_n}\right)\hat{f}(ξ)\hat{g}(η)e^{2πιx\cdot(ξ+η)}~dξdη,\] where $λ>0, R>0$ and \[m^λ\left(\frac{ξ'}{Rξ_n},\frac{η'}{Rη_n}\right)=\Big(1-\frac{|ξ'|^2}{R^2ξ^2_n}-\frac ...
Shrivastava, Saurabh, Shuin, Kalachand
openaire   +2 more sources