Results 41 to 50 of about 4,104,623 (169)
An adaptive grid method for a non-equilibrium PDE model from porous media [PDF]
, 2015 An adaptive grid method is applied to a PDE model from geo-hydrology. Due to the higher mixed-order derivative, non-monotone waves can appear which could represent similar structures as observed in laboratory experiments [5, 16, 18]. The effectiveness of
Zegeling, P.A. +3 more
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Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator
Boundary Value ProblemsIn this paper, we investigate direct and inverse problems for time-fractional pseudoparabolic equations associated with the Jacobi operator. The existence and uniqueness of the solutions are proven.
Bayan Bekbolat, Niyaz Tokmagambetov
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On a boundary value problem for a Boussinesq-type equation in a triangle
Вестник КазНУ. Серия математика, механика, информатика, 2022 Earlier, we considered an initial-boundary value problem for a one-dimensional Boussinesq-type equation in a domain that is a trapezoid, in which the theorems on its unique weak solvability in Sobolev classes were established by the methods of the theory
M. T. Jenaliyev +2 more
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Pitchfork–Hopf bifurcations in 1D neural field models with transmission delays [PDF]
, 2015 Recently, local bifurcation theory for delayed neural fields was developed. In this paper, we show how symmetry arguments and residue calculus can be used to simplify the computation of the spectrum in special cases and the evaluation of the normal form ...
Dijkstra, K. +6 more
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Applied Sciences, 2021 Today, cardiovascular disease is the leading cause of death in developed countries. The most common arrhythmia is atrial fibrillation, which increases the risk of ischemic stroke.
Pavel Lyakhov +2 more
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A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media [PDF]
, 2017 An adaptive moving mesh finite difference method is presented to solve two types of equations with dynamic capillary pressure effect in porous media. One is the non-equilibrium Richards Equation and the other is the modified Buckley-Leverett equation ...
Paul Andries Zegeling +5 more
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Integrability and Non-integrability of Hamiltonian Normal Forms [PDF]
, 2014 This paper summarizes the present state of integrability of Hamiltonian normal forms and it aims at characterizing non-integrable behaviour in higher-dimensional systems. Non-generic behaviour in Hamiltonian systems can be a sign of integrability, but it
Ferdinand Verhulst +3 more
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On functional equations leading to exact solutions for standing internal waves [PDF]
, 2016 The Dirichlet problem for the wave equation is a classical example of a problem which is ill-posed. Nevertheless, it has been used to model internal waves oscillating harmonically in time, in various situations, standing internal waves amongst them.
Keady, Grant +4 more
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Riemann problem for multiply connected domain in Besov spaces
Boundary Value ProblemsIn this paper, we obtain conditions of the solvability of the Riemann boundary value problem for sectionally analytic functions in multiply connected domains in Besov spaces embedded into the class of continuous functions.
Nazarbay Bliev, Nurlan Yerkinbayev
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On an Inverse Problem of Reconstructing a Heat Conduction Process from Nonlocal Data
Advances in Mathematical Physics, 2018 We consider an inverse problem for a one-dimensional heat equation with involution and with periodic boundary conditions with respect to a space variable.
Makhmud A. Sadybekov +2 more
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