Results 51 to 60 of about 99,299 (234)
Nonclassical dynamical behavior of solutions of partial differential-difference equations
AIMS MathematicsFor partial differential-difference equations, a review of results regarding the relation between the type of the equation and dynamical properties of its solutions is provided.
Andrey Muravnik
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Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations
Abstract and Applied Analysis, 2004 We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying ...
Albo Carlos Cavalheiro
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LOW-ENERGY ELECTRON SCATTERING IN A FORCE FIELD WITH CENTRAL SYMMETRY
Современная наука и инновации, 2022 In this article, we will consider another example of using the reference modeling method to find a solution to a partial differential equation, this time an elliptic one.
A. B. Cheboksarov +2 more
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Invasion moving boundary problem for a biofilm reactor model
, 2017 The work presents the analysis of the free boundary value problem related to the invasion model of new species in biofilm reactors. In the framework of continuum approach to mathematical modelling of biofilm growth, the problem consists of a system of ...
D'Acunto, Berardino +3 more
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Hamiltonian identities for elliptic partial differential equations
Journal of Functional Analysis, 2008 AbstractNew identities for elliptic partial differential equations are obtained. Several applications are discussed. In particular, Young's law for the contact angles in triple junction formation is proven rigorously. Structure of level curves of saddle solutions to Allen–Cahn equation are also carefully analyzed.
Changfeng Gui, Changfeng Gui
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Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
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Mathematics, 2020 In this work, we investigate a (3+1)-dimensional generalised Kadomtsev–Petviashvili equation, recently introduced in the literature. We determine its group invariant solutions by employing Lie symmetry methods and obtain elliptic, rational and ...
Innocent Simbanefayi +1 more
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An inverse problem of Calderon type with partial data [PDF]
, 2011 A generalized variant of the Calder\'on problem from electrical impedance tomography with partial data for anisotropic Lipschitz conductivities is considered in an arbitrary space dimension $n \geq 2$.
Behrndt, Jussi, Rohleder, Jonathan
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PDEs in Moving Time Dependent Domains
, 2013 In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given initial domain.
AJ Chorin +5 more
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Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method
Journal of Function Spaces, 2021 The recently introduced technique, namely, the extended complex method, is used to explore exact solutions for the generalized fifth-order KdV equation. Appropriately, the rational, periodic, and elliptic function solutions are obtained by this technique.
Mehvish Fazal Ur Rehman +2 more
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