Results 91 to 100 of about 64,214 (233)

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Developing a macroecology for human‐altered ecosystems

Ecography, EarlyView.
Although anthropogenically‐induced ecological disruptions are fundamentally important in defining ecosystem properties, they are largely overlooked by macroecological theory. Anthropogenic disruptions and their effects are generally not comparable to one another, nor to disturbances that are part of natural disturbance regimes.
Erica A. Newman, Mark Q. Wilber, Alexandre Génin, Oriana E. Chafe, Henry F. Houskeeper, Steven Lee, Eric L. Berlow, John Harte   +7 more
wiley   +1 more source

Considerations for drug trials in hypertrophic cardiomyopathy

ESC Heart Failure, Volume 12, Issue 2, Page 1095-1112, April 2025.
Abstract Hypertrophic cardiomyopathy (HCM) is a heterogeneous condition with potentially serious manifestations. Management has traditionally comprised therapies to palliate symptoms and implantable cardioverter‐defibrillators to prevent sudden cardiac death. The need for disease‐modifying therapies has been recognized for decades.
John P. Farrant, Matthias Schmitt, Anna B. Reid, Clifford J. Garratt, William G. Newman, Aneil Malhotra, Rhys Beynon, Masliza Mahmod, Betty Raman, Robert M. Cooper, Dana Dawson, Thomas Green, Sanjay K. Prasad, Anvesha Singh, Susanna Dodd, Hugh Watkins, Stefan Neubauer, Christopher A. Miller   +17 more
wiley   +1 more source

Chondroitin sulfate restores muscle mass via gut–muscle axis remodeling through sugar–bile acid metabolism reprogramming

iMeta, EarlyView.
The graphical abstract illustrates the molecular mechanism by which chondroitin sulfate (DCS) alleviates glucocorticoid‐induced myopathy through the gut–muscle axis. DCS selectively enriches L. johnsonii Z‐RW, enhancing bshA‐encoded BSH activity to promote bile acid deconjugation and reduce the sugar–bile acid ratio, thereby re‐establishing intestinal ...
Ruiyun Wu, Tao Wen, Nan Shang, Penghao Xie, Zhenyu Wang, Hang Li, Shaobo Li, Dequan Zhang   +7 more
wiley   +1 more source

Some Plancherel identities for unbounded subsets of $\mathbb R$ in duality

In relation to Fuglede's conjecture, we establish several Plancherel-type identities and demonstrate the surjectivity of the Fourier transform between certain unbounded tiling sets of $\mathbb{R}$ that are in duality. In the terminology commonly used in the context of Fuglede's conjecture, our result states that an open set tiles $\mathbb{R}$ by the ...
Chakraborty, Piyali, Dutkay, Dorin Ervin
openaire   +1 more source

Treewidth Versus Clique Number. V. Further Connections With Tree‐Independence Number

Journal of Graph Theory, EarlyView.
ABSTRACT We continue the study of ( tw , ω ) $({\mathsf{tw}},\omega )$‐bounded graph classes, that is, hereditary graph classes in which large treewidth is witnessed by the presence of a large clique, and the relation of this property to boundedness of the tree‐independence number, a graph parameter introduced independently by Yolov in 2018 and by ...
Claire Hilaire, Martin Milanič, Ðorđe Vasić   +2 more
wiley   +1 more source

XStreamVGGT: Extremely Memory‐Efficient Streaming Vision Geometry Grounded Transformer With KV Cache Compression

Journal of the Society for Information Display, EarlyView.
XStreamVGGT enables memory‐efficient streaming 3D inference by jointly pruning and quantizing the KV cache. It reduces memory by 4.42× and accelerates inference by 5.48×, with negligible performance loss on depth, reconstruction, and pose estimation, overcoming the unbounded cache growth of StreamVGGT.
Zunhai Su, Weihao Ye, Hansen Feng, Keyu Fan, Jing Zhang, Dahai Yu, Zhengwu Liu, Ngai Wong   +7 more
wiley   +1 more source

Nonlocal active sound control for composite regions

Mathematical Methods in the Applied Sciences, EarlyView.
In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
wiley   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source