Results 71 to 80 of about 56,401 (152)

Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley   +1 more source

Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley   +1 more source

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

Proceedings 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, Jingyu Li, Zhi‐An Wang, Wen Yang   +3 more
wiley   +1 more source

A Choquet theory of Lipschitz‐free spaces

Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

Model for Aqueous Polymer Solutions with Damping Term: Solvability and Vanishing Relaxation Limit. [PDF]

Polymers (Basel), 2022
Baranovskii ES, Artemov MA.
europepmc   +1 more source

Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique. [PDF]

Sensors (Basel), 2022
Schenone V, Estatico C, Gragnani GL, Pastorino M, Randazzo A, Fedeli A.   +5 more
europepmc   +1 more source

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

Commun Math Phys
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc   +1 more source

Arrow of Time in Quantum Mechanics and Set Theory. [PDF]

Entropy (Basel)
Król J.
europepmc   +1 more source

A new approach to weighted Sobolev spaces. [PDF]

Mon Hefte Math
Kebiche D.
europepmc   +1 more source