An analytical study of a model for the actin-based movement of bacteria [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2012 In this work we studied a system of two partial differential type modeling the motion of some bacteria, which use an Actin-based propulsion mechanism. The resulting system is composed by two equation (a porous-media equation and a linear hyperbolic one)
Stefania Melillo, Eugenio Montefusco
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Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Xiaoxiao Zheng, Yadong Shang, Yong Huang
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Some non-linear s.p.d.e.'s that are second order in time
, 2002 We extend Walsh's theory of martingale measures in order to deal with hyperbolic stochastic partial differential equations that are second order in time, such as the wave equation and the beam equation, and driven by spatially homogeneous Gaussian noise.
Dalang, Robert C., Mueller, Carl
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Special Functions and Its Application in Solving Two Dimensional Hyperbolic Partial Differential Equation of Telegraph Type [PDF]
, 2023 Ishtiaq Ali +2 more
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Numerical solution to nonlinear Tricomi equation using WENO schemes
Electronic Journal of Differential Equations, 2010 Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu +2 more
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26 Results of hyperbolic partial differential equations in B-poly basis
, 2020 Muhammad I. Bhatti, Emilio Hinojosa
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Normal forms for systems of semilinear hyperbolic partial differential equations [PDF]
, 1973 J. Eisenfeld, P. M. Zaretzki
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Smoothness of solutions of hyperbolic stochastic partial differential equations with $L^{\infty}$-vector fields [PDF]
, 2022 Antoine-Marie Bogso +3 more
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Generation of three-dimensional body-fitted grids by solving hyperbolic and parabolic partial differential equations [PDF]
Hyperbolic grid generation procedures are described which have been used in external flow simulations about complex configurations. For many practical applications a single well-ordered (i.e., structured) grid can be used to mesh an entire configuration,
Steger, Joseph L.
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A dynamical process of several variables
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 In the space of ϕ-distributions with values belonging to a Banach space, the process described by the problem of partial differential equation has been considered. Conditions under which the process is dynamic have been given.
V.S. Mokeichev, A.M. Sidorov
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