Journal of Clinical Periodontology, Volume 53, Issue 7, Page 1226-1252, July 2026.ABSTRACT Aim To synthesize evidence on gingival diseases and conditions in children and adolescents (< 18 years) without known systemic disorder involvement, focusing on their distribution, aetiology, diagnosis, management and oral health–related quality of life (OHRQoL).
Georgios Tsilingaridis +4 more
wiley +1 more source
WF-PINNs: solving forward and inverse problems of burgers equation with steep gradients using weak-form physics-informed neural networks. [PDF]
Sci RepWang X, Yi S, Gu H, Xu J, Xu W.
europepmc +1 more source
An Algebraic Study of Parametric Stokes Phenomena
Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley +1 more source
Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation. [PDF]
Sci RepMorgan M, Ahmed HM, Sayed M, Soliman M.
europepmc +1 more source
Wall–chamber decompositions for generalised Monge–Ampère equations
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Generalised Monge–Ampère (gMA) equations form a large class of PDE including Donaldson's J‐equation, inverse Hessian equations, some supercritical deformed Hermitian–Yang–Mills (dHYM) equations and some Z‐critical equations. Solvability of these equations is characterised by numerical criteria involving intersection numbers over all ...
Sohaib Khalid +1 more
wiley +1 more source
Fractional order effects on solitary waves and chaotic regimes in the mKdV Burgers equation. [PDF]
Sci RepIslam MA, Rimu NN, Dey P.
europepmc +1 more source
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali +2 more
wiley +1 more source
Exploring the chaotic, sensitivity and wave patterns to the dual-mode resonant Schrödinger equation: application in optical engineering. [PDF]
Sci RepMuhammad J, Younas U, Yar M.
europepmc +1 more source
Comparison of neural and traditional techniques for soliton structures and dynamical behavior in a double-chain DNA model. [PDF]
Sci RepMajid SZ, Sağlam FNK, Ullah MS.
europepmc +1 more source
The work of Pierre Magal on differential equations, functional analysis and mathematical biology. [PDF]
J Math BiolDemongeot J, Hillen T, Ruan S, Webb G.
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