Results 41 to 50 of about 1,329,190 (299)
A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations
Abstract and Applied Analysis, 2011 We consider a cooperating two-species Lotka-Volterra model of degenerate parabolic equations. We are interested in the coexistence of the species in a bounded domain.
Jiebao Sun, Dazhi Zhang, Boying Wu
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Boundary Estimates for Certain Degenerate and Singular Parabolic Equations [PDF]
, 2016 We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic p-Laplace equation.
Avelin, Benny, +8 more
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Fujita-type results for the degenerate parabolic equations on the Heisenberg groups [PDF]
, 2023 In this paper, we consider the Cauchy problem for the degenerate parabolic equations on the Heisenberg groups with power law non-linearities. We obtain Fujita-type critical exponents, which depend on the homogeneous dimension of the Heisenberg groups ...
Torebek, Berikbol +6 more
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Advanced Functional Materials, EarlyView.Neuromorphic devices for extreme environments are interpreted through the physical states that store and process information. Radiation, temperature extremes, and vacuum can perturb vacancies, filaments, trapped charges, polarization, interfaces, and readout signals.
Taehyun Park +7 more
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On the Cauchy Problem for a Degenerate Parabolic Equation
Zeitschrift für Analysis und ihre Anwendungen, 2001 Existence and uniqueness of global positive solutions to the degenerate parabolic problem u_t = f(u)\Delta u \ \ \mathrm {in} \ \ \mathbb R^n \times (0, \infty) u|_{t=0} = u–0 with
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Impulsive Quenching for Degenerate Parabolic Equations
Journal of Mathematical Analysis and Applications, 1996 An impulsive problem for a singular degenerate parabolic equation is studied. Sufficient conditions for the existence of a unique critical length are given. The critical length \(a^*\) is the length of the space interval such that the solution with zero initial and boundary data quenches for intervals larger than \(a^*\) but it exists globally for ...
Chan, C.Y., Kong, P.C.
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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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Advanced Healthcare Materials, EarlyView.The role of viscoelasticity in the invasion of heterogeneous glioblastoma stem cells (GSCs) was investigated with GSCs categorized into subgroups based on molecular profile, as Reactive, Invasive, or Constructive using viscoelastic biomimetic hyaluronan‐oxime hydrogels.
Nicole J. Blaine +4 more
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Advanced Materials, EarlyView.The energetic offset between the donor and the acceptor components in organic photoactive layers is central to the tradeoff between photovoltage and photocurrent losses. This Perspective covers the most important issues surrounding this topic in non‐fullerene acceptor blends, from the difficulty of accurately determining state energies and driving ...
Dieter Neher, Manasi Pranav
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Nehari manifold for degenerate logistic parabolic equations
Electronic Journal of Differential EquationsIn this article we analyze the behavior of solutions to a degenerate logistic equation with a nonlinear term $b(x)f(u)$ where the weight function $b$ is non-positive.
Juliana Fernandes, Liliane Maia
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