Results 101 to 110 of about 160,914 (245)

Boundary unique continuation in planar domains by conformal mapping

open access: yesBulletin 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

Nonclassical shock waves of conservation laws: Flux function having two inflection points

open access: yesElectronic Journal of Differential Equations, 2006
We consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a ...
Ho Dac Nghia, Mai Duc Thanh
doaj  

Wild conductor exponents of curves

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley   +1 more source

Riemann problem for a two-dimensional quasilinear hyperbolic system

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the study of the Riemann problem for a two-dimensional non-strictly hyperbolic system of conservation laws. The initial data are three constant states separated by three lines and are chosen so that one of the three interfaces ...
Chun Shen
doaj  

Elucidating the Physical and Mathematical Properties of the Prouhet‐Thue‐Morse Sequence in Quantum Computing

open access: yesAnnalen der Physik, Volume 538, Issue 4, April 2026.
The Prouhet‐Thue‐Morse (PTM) sequence emerges as a unifying thread across quantum error correction, noise‐resistant memories, spin‐chain dynamics, quantum chaos, and Dirichlet links to the Riemann zeta function. Mapping PTM‐encoded logical states onto qubit and qudit architectures uncovers symmetry‐protected resilience and multifractal signatures ...
Denis Janković   +3 more
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis

open access: yesEngineering Reports, Volume 8, Issue 4, April 2026.
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim   +2 more
wiley   +1 more source

Advection‐Pressure Splitting Schemes Applied to a Non‐Conservative 1D Blood Flow Model With Transport for Arteries and Veins

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 398-432, April 2026.
We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo   +3 more
wiley   +1 more source

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault   +6 more
wiley   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

open access: yesMathematische Nachrichten, Volume 299, Issue 4, Page 704-763, April 2026.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt   +2 more
wiley   +1 more source

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