Results 61 to 70 of about 1,364,813 (176)
Spectral properties of a Frankl type problem for parabolic-hyperbolic equations
Electronic Journal of Differential Equations, 2018 In this article we study spectral properties of non-local boundary-value problem for an equation of parabolic-hyperbolic type. The non-local condition binds the solution values at points on boundaries of the parabolic and hyperbolic parts of the ...
Makhmud A. Sadybekov +2 more
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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
wiley +1 more source
The mathematics of suspensions: Kac walks and asymptotic analyticity
Electronic Journal of Differential Equations, 2000 Of concern are suspension flows. These combine directed and random motions and are typically modelled by parabolic partial differential equations.
Eugene C. Eckstein +2 more
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NMR in Biomedicine, Volume 39, Issue 10, October 2026.Geometric exchange between dendritic spines and shafts is often neglected, yet it exhibits the same signature as permeative exchange, biasing NEXI/SMEX measurements. We propose two models: an extended three‐compartment Kärger model that resolves spine–shaft exchange explicitly, and a coarse‐grained Kärger model that absorbs spines into an effective ...
Kadir Şimşek +3 more
wiley +1 more source
Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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Buoyancy‐Driven Flow at Reservoir Conditions
Geophysical Research Letters, Volume 53, Issue 17, 16 September 2026.Abstract Quantifying the transition between viscous‐ and buoyancy‐dominated flow during CO2 ${\text{CO}}_{2}$ injection is essential for predicting plume migration and evaluating storage efficiency in saline aquifers. While previous studies have examined the interaction of viscous, gravitational, and capillary forces, the precise definition of buoyancy‐
Almostafa Alhadi +2 more
wiley +1 more source
Lack of controllability of the heat equation with memory [PDF]
, 2012 We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We prove that, in spite of this, for every T > 0 there exist square integrable initial data which cannot be steered to hit zero ...
Andrei Halanay, Pandolfi, Luciano
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Modeling Heavy Metal Sorption and Interaction in a Multispecies Biofilm
Mathematics, 2019 A mathematical model able to simulate the physical, chemical and biological interactions prevailing in multispecies biofilms in the presence of a toxic heavy metal is presented.
Berardino D’Acunto +3 more
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International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 9, Page 1932-1944, September 2026.This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
wiley +1 more source
Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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