Results 251 to 260 of about 752,137 (289)

Discrete Reaction-Dispersion Equation

2020
The paper introduces a discrete analogy of the reaction-diffusion partial differential equation. Both the time and the space are considered to be discrete, the space is represented by a simple graph. The equation is derived from “first principles”. Basic qualitative properties, namely, existence and stability of equilibria are discussed.
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Thermodynamics of Taylor dispersion: Constitutive equations

Physical Review E, 1993
This paper shows that the Taylor dispersion flux is a dissipative flux of extended thermodynamics. Every term in the evolution equations for the Taylor flux components is connected to a thermodynamic function and the entropy production is proved to be positive definite. Thermodynamic restrictions on phenomenological coefficients are also satisfied.
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Nonlinear Dispersive Wave Equations

Abstract In this chapter, we introduce several nonlinear dispersive wave models, which appear generically in a wide range of contexts and applications in physics, engineering, biosciences, and so on. Many of these models will be analyzed in more detail in the next chapters. Our approach is typically characterized by two steps.
R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis   +2 more
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Reaction—Advection—Dispersion Equation

2001
A problem of great importance in environmental science is to understand how chemical or biological contaminants are transported through subsurface aquifer systems. In this chapter we consider the transport of a chemical or biological tracer carried by water through a uniform, one-dimensional, saturated, porous medium, and we derive simple mathematical ...
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Linear Dispersive Wave Equations

Abstract This chapter provides an introduction to notions and ideas that will be used throughout the book. The ultimate goal is a presentation of nonlinear dispersive wave models that will be analyzed in more detail in the next chapters. A key element of this chapter will be the Fourier transform, which will allow us to derive dispersion
R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis   +2 more
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On nonlinear dispersive equations

1998
The author describes some of the recent developments in the application of harmonic analysis to nonlinear dispersive equations \[ u_t= iP(\nabla_x)u+ F(u)\;(t\in\mathbb{R},\;x\in\mathbb{R}^n) \] with initial data \(u(0,x)= u_0(x)\), where \(P(\nabla_x)\) is a differential operator with constant coefficients, \(F(u)\) represents nonlinearity.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Dispersive equations

Progress in Analysis and Its Applications, 2010
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Dispersive Equations

Further Progress in Analysis, 2009
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Sellmeier Dispersion Equation

1973
M. ROUSSEAU, J.P. MATHIEU
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