Results 41 to 50 of about 4,429,182 (354)
Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere [PDF]
, 2008 Global quantization of pseudo-differential operators on compact Lie groups is introduced relying on the representation theory of the group rather than on expressions in local coordinates.
Agranovich +41 more
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Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system [PDF]
, 2011 We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns are the order parameter and the chemical potential.
Colli, Pierluigi +3 more
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Partial Differential Equations in Applied Mathematics, 2022 This paper shows the global existence and boundedness of solutions of a reaction diffusion system modeling liver infections. The existence proof is presented step by step and the focus lies on the interpretation of intermediate results in the context of ...
Cordula Reisch, Dirk Langemann
doaj +1 more source
Global Existence and Boundedness of Solutions to a Model of Chemotaxis [PDF]
Mathematical Modelling of Natural Phenomena, 2008 A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial difierential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in n-dimensional space.
Dyson, J, Villella-Bressan, R, Webb, G
openaire +3 more sources
The global attractive sets and synchronization of a fractional-order complex dynamical system
AIMS Mathematics, 2023 This paper presents a chaotic complex system with a fractional-order derivative. The dynamical behaviors of the proposed system such as phase portraits, bifurcation diagrams, and the Lyapunov exponents are investigated.
Minghung Lin +3 more
doaj +1 more source
Competitive Lotka-Volterra Population Dynamics with Jumps [PDF]
, 2011 This paper considers competitive Lotka-Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show stochastic differential equation (SDE) with jumps associated with the model has a unique global positive solution;
Applebaum +26 more
core +2 more sources
Journal of Inequalities and Applications, 2016 In this paper, we consider the global existence and boundedness of solutions for a certain nonlinear integro-differential equation of second order with multiple constant delays.
Cemil Tunç, Timur Ayhan
doaj +1 more source
Communications on Pure and Applied Analysis, 2020 In this paper, we investigate the chemotaxis-fluid system with singular sensitivity and logistic source in bounded convex domain with smooth boundary. We present the global existence of very weak solutions under appropriate regularity assumptions on the ...
Guoqiang Ren, Bin Liu
semanticscholar +1 more source
Cosmology and the S-matrix [PDF]
, 2004 We study conditions for the existence of asymptotic observables in cosmology. With the exception of de Sitter space, the thermal properties of accelerating universes permit arbitrarily long observations, and guarantee the production of accessible states ...
J. D. Bekenstein +3 more
core +3 more sources
, 2020 This paper is concerned with a parabolic-elliptic Keller-Segel system where both diffusive and chemotactic coefficients (motility functions) depend on the chemical signal density.
Zhian Wang
semanticscholar +1 more source