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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 66
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 3, June 2015
  4. Analysis of a mixed space-time diffusion equation
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 6, December 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 5, October 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 4, August 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 3, June 2015
Instability of Riemann solutions to a scalar conservation law with discontinuous flux
Solutions for quasilinear Schrödinger systems with critical exponents
Existence of solutions for Kirchhoff type problems with critical nonlinearity in $${\mathbb{R}^N}$$ R N
Exponential asymptotics of the Voigt functions
Inverse Jacobi multipliers and first integrals for nonautonomous differential systems
Optimal transportation in $${\mathbb{R}^{n}}$$ R n for a distance cost with a convex constraint
Wave speeds for the FKPP equation with enhancements of the reaction function
Spectra of functionalized operators arising from hypersurfaces
Vortex-type solutions to a magnetic nonlinear Choquard equation
Global regularity of 2D generalized MHD equations with magnetic diffusion
Existence of solutions for periodic elliptic system with general superlinear nonlinearity
Estimates for eigenvalues of the bi-drifting Laplacian operator
Existence and energy decay of solutions for the Euler–Bernoulli viscoelastic equation with a delay
Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent
Well-posedness for a class of biological diffusion models with hysteresis effect
A Mathematical analysis of fluid motion in irreversible phase transitions
Generalized solutions to time-discretized compressible MHD equations
Poisson problems for semilinear Brinkman systems on Lipschitz domains in $${\mathbb{R}^n}$$ R n
Global large solutions of magnetohydrodynamics with temperature-dependent heat conductivity
Existence and non-existence of blow-up solutions for a non-autonomous problem with indefinite and gradient terms
The singular coagulation equation with multiple fragmentation
Existence of positive solution of a nonlocal logistic population model
Global existence and blowup of solutions for the multidimensional sixth-order “good” Boussinesq equation
Remarks on the global regularity criteria for the 3D MHD equations via two components
Singular phenomena of solutions for nonlinear diffusion equations involving p(x)-Laplace operator and nonlinear sources
Eigenvalues of the p(x)-biharmonic operator with indefinite weight
A perturbation method for k-mixtures of Bose–Einstein condensates
Sessile drops: spreading versus evaporation–condensation
Prandtl boundary layers for the Phan-Thien Tanner and Giesekus fluid
Convection in drying and freezing ground
Waves on a vortex filament: exact solutions of dynamical equations
Asymptotic behavior of coupled linear systems modeling suspension bridges
Vulcanization and the mechanical response of rubber
Solutions of the generalized half-plane and half-space Cerruti problems with surface effects
Green-Naghdi rate of the Kirchhoff stress and deformation rate: the elasticity tensor
On the treatment of non-solvable implicit constitutive relations in solid mechanics
Analysis of a mixed space-time diffusion equation
General case of contact problems for a regular polygon weakened with full-strength hole
A model for bending and stretching of piezoelectric rods obtained by asymptotic analysis
Polarization in dielectrics modeled as micromorphic continua
State space approach to two-dimensional generalized micropolar thermoelasticity
Explicit expressions of the matrices H, L and S for the bending of symmetrically laminated anisotropic plates
Analytical applications and effective properties of a second gradient isotropic elastic material model
Comments on “Invariant algebraic surfaces of the generalized Lorenz system”
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 2, April 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 1, February 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Analysis of a mixed space-time diffusion equation

Content Provider SpringerLink
Author Momoniat, Ebrahim
Copyright Year 2014
Abstract An energy method is used to analyze the stability of solutions of a mixed space-time diffusion equation that has application in the unidirectional flow of a second-grade fluid and the distribution of a compound Poisson process. Solutions to the model equation satisfying Dirichlet boundary conditions are proven to dissipate total energy and are hence stable. The stability of asymptotic solutions satisfying Neumann boundary conditions coincides with the condition for the positivity of numerical solutions of the model equation from a Crank–Nicolson scheme. The Crank–Nicolson scheme is proven to yield stable numerical solutions for both Dirichlet and Neumann boundary conditions for positive values of the critical parameter. Numerical solutions are compared to analytical solutions that are valid on a finite domain.
Ending Page 1186
Page Count 12
Starting Page 1175
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 3
Volume Number 66
Language English
Publisher Springer Basel
Publisher Date 2014-06-04
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Energy method Mathematical Methods in Physics Heat equation Second-order parabolic equations Dissipation of total energy Theoretical and Applied Mechanics Crank–Nicolson scheme Stable numerical method Initial-boundary value problems for linear higher-order equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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