Results 91 to 100 of about 53,887 (179)

Kuramoto Model on Sierpinski Gasket I: Harmonic Maps

Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.
ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
wiley   +1 more source

Innovative Aboodh-based gractional analytical methods for nonlinear Burgers' partial differential equations. [PDF]

Sci Rep
Iqbal N, Aldhabani MS, Haleemzai I, Zaidi HN, Hussain S, Mukhtar S, Mohammed WW.   +6 more
europepmc   +1 more source

Boundary unique continuation in planar domains by conformal mapping

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley   +1 more source

Optimal error estimates of the diffuse domain method for second order parabolic equations. [PDF]

BIT Numer Math
Hao W, Ju L, Xu Y.
europepmc   +1 more source

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization. [PDF]

Sci Rep
Sasaki S, Endo K, Muramatsu M.
europepmc   +1 more source

Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
wiley   +1 more source

Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]

J Math Biol
Spiliotis K, Russo L, Siettos C, Giannino F.   +3 more
europepmc   +1 more source

Are physiological oscillations physiological?

The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]

Sci Rep
Hussein HH, Mekawey H, Elsheikh A.
europepmc   +1 more source