Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
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Optical closed form soliton structures for the Kuralay-II equation in nonlinear optical complex media. [PDF]
Sci RepArshad A +5 more
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Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
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Soliton management in a variable-coefficient coupled dispersionless system via Darboux transformation. [PDF]
Sci RepRiaz HWA, Yildirim Y, Alshuhail A.
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Analytical study of fractional solitons in three dimensional nonlinear evolution equation within fluid environments. [PDF]
Sci RepRamadan ME +3 more
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From Schreier graphs to secure s-boxes using a group-theoretic design framework. [PDF]
Sci RepRazaq A +4 more
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Soliton dynamics and stability analysis of a double-chain DNA model with various chaos detection tools. [PDF]
Sci RepUllah MS, Akter R.
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Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]
Entropy (Basel)Abdalgadir LM +3 more
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On Some Elliptic Equations with Nonlocal Nonlinear Terms(Solutions for Nonlinear Elliptic Equations)
On Some Elliptic Equations with Nonlocal Nonlinear Terms(Solutions for Nonlinear Elliptic Equations)openaire +1 more source
Dynamical solitonic wave formation to optical fiber communications with strong nonlinearity and inhomogeneity. [PDF]
Sci RepFaridi WA, Ciurdariu L, Ibrahim AA.
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