Results 91 to 100 of about 2,128,627 (261)
Electronic Journal of Differential Equations, 2000 solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
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Numerical solving of coupled systems of parabolic and ordinary differential equations
Nonlinear Analysis, 2010 Two coupled systems of parabolic and nonlinear ordinary differential equations arising in kinetics of heterogeneous reactions are studied numerically by using computer calculations. Some numerical results are discussed.
V. Skakauskas, P. Katauskis
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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EcoEnergy, EarlyView.We report a 30 × 38 mm2 flexible thermoelectric device based on vertically aligned p/n Bi2Te3 thin films with high power factors of 31.0 and 20.3 μW cm−1 K−2. An optimized device geometry achieves a high normalized power density of 3.5 μW cm−2 K−2 through efficient thermal management, while maintaining excellent stability and modular scalability ...
Qingyi Liu +5 more
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A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]
Opuscula Mathematica, 2007 This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions.
Marian Malec, Lucjan Sapa
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A Pseudo-Monotonicity Adapted to Doubly Nonlinear Elliptic-Parabolic Equations
, 2001 Pseudo-monotonicity seems to be a good notion to deal with convergence in nonlinear terms of partial differential equations. J.-L. Lions [16] used two different definitions of pseudo-monotonicity for elliptic and parabolic problems, and derived ...
Maitre, Emmanuel +5 more
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Low‐dimensional materials (0D, 1D, and 2D) exhibit unique electronic and physicochemical properties, enabling advanced nanoelectronic and optoelectronic devices. Mixed‐dimensional heterostructures combine these materials to enhance functionality.
Qaisar Alam +3 more
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ESC Heart Failure, Volume 12, Issue 2, Page 859-868, April 2025.Abstract Aims Natriuretic peptide‐based pre‐heart failure screening has been proposed in recent guidelines. However, an effective strategy to identify screening targets from the general population, more than half of which are at risk for heart failure or pre‐heart failure, has not been well established.
Yuichiro Mori +5 more
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Demonstratio MathematicaThis study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative.
Guan Tingting, Wang Guotao, Araci Serkan
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On a nonlinear compactness lemma in Lp(0,T;B)
International Journal of Mathematics and Mathematical Sciences, 2003 We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type.
Emmanuel Maitre
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