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Displaying 101 – 120 of 179

Exact solution of the time fractional variant Boussinesq-Burgers equations

Bibekananda Bira, Hemanta Mandal, Dia Zeidan (2021)

Applications of Mathematics

In the present article, we consider a nonlinear time fractional system of variant Boussinesq-Burgers equations. Using Lie group analysis, we derive the infinitesimal groups of transformations containing some arbitrary constants. Next, we obtain the system of optimal algebras for the symmetry group of transformations. Afterward, we consider one of the optimal algebras and construct similarity variables, which reduces the given system of fractional partial differential equations (FPDEs) to fractional...

Exact solutions of Rayleigh-Stokes problem for heated generalized Maxwell fluid in a porous half-space.

Xue, Changfeng, Nie, Junxiang (2008)

Mathematical Problems in Engineering

Exact solutions of steady plane flows using $(r, ψ)$ -coordinates.

Labropulu, F., Chandna, O.P. (2000)

International Journal of Mathematics and Mathematical Sciences

Exact solutions of steady plane MHD aligned flows using $(ξ, ψ)$ - or $(η, ψ)$ -coordinates.

Labropulu, F., Chandna, O.P. (1997)

International Journal of Mathematics and Mathematical Sciences

Exact solutions of the equations of relativistic hydrodynamics representing potential flows.

Borshch, Maxim S., Zhdanov, Valery I. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Exact solutions of the magneto-fluid dynamics : a contribution

Vincenzo Millucci (1974)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows

Marco Picasso, Jacques Rappaz (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

In this paper, a nonlinear problem corresponding to a simplified Oldroyd-B model without convective terms is considered. Assuming the domain to be a convex polygon, existence of a solution is proved for small relaxation times. Continuous piecewise linear finite elements together with a Galerkin Least Square (GLS) method are studied for solving this problem. Existence and a priori error estimates are established using a Newton-chord fixed point theorem, a posteriori error estimates are also derived....

Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows

Marco Picasso, Jacques Rappaz (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Existence and Approximation Results for Nonlinear Mixed Problems : Application to Incompressible Finite Elasticity.

P.Le Tallec (1982)

Numerische Mathematik

Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.

Boldrini, José Luiz, Dias Vaz, Cristina Lúcia (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and stability of steady waves for the Hasegawa-Mima equation.

Guo, Boling, Huang, Daiwen (2009)

Boundary Value Problems [electronic only]

Existence and uniqueness for magnetohydrodynamic flows in pipes with viscosity dependent on the temperature.

Cimatti, Giovanni (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and uniqueness for non-linear singular integral equations used in fluid mechanics

E. G. Ladopoulos, V. A. Zisis (1997)

Applications of Mathematics

Non-linear singular integral equations are investigated in connection with some basic applications in two-dimensional fluid mechanics. A general existence and uniqueness analysis is proposed for non-linear singular integral equations defined on a Banach space. Therefore, the non-linear equations are defined over a finite set of contours and the existence of solutions is investigated for two different kinds of equations, the first and the second kind. Moreover, the existence of solutions is further...

Existence and uniqueness for optimal control of oxygen absorption in aquatic system.

Agusto, F.B., Bamigbola, O.M. (2008)

APPS. Applied Sciences

Existence and uniqueness of periodic solutions for a model of contaminant flow in porous medium.

Badii, Maurizio (2003)

Rendiconti del Seminario Matematico

Existence and uniqueness of solutions for a degenerate quasilinear parabolic problem.

Maurizio Badii (1994)

Publicacions Matemàtiques

We consider the following quasilinear parabolic equation of degenerate type with convection term ut = φ (u)xx + b(u)x in (-L,0) x (0,T). We solve the associate initial-boundary data problem, with nonlinear flux conditions. This problem describes the evaporation of an incompressible fluid from a homogeneous porous media. The nonlinear condition in x = 0 means that the flow of fluid leaving the porous media depends on variable meteorological conditions and in a nonlinear manner on u. In x = -L we...

Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains

Rodolfo Salvi (2005)

Banach Center Publications

In the paper [13], we give the full system of equations modelling the motion of a fluid/viscoelastic solid system, and obtain a differential model similar to the so-called Oldroyd model for a viscoelastic fluid. Moreover, existence results in bounded domains are obtained. In this paper we extend the results in [13] to unbounded domains. The unique solvability of the system of equations is established locally in time and globally in time with so-called smallness restrictions. Moreover, existence...

Existence and uniqueness theorems for viscous fluids capable of heat conduction in a relativistic theory of non stationary thermodynamics

Franco Cardin (1984)

Annales de l'I.H.P. Physique théorique

Existence by minimisation of solitary water waves on an ocean of infinite depth

B Buffoni (2004)

Annales de l'I.H.P. Analyse non linéaire

Existence de nappes de tourbillon pour l'équation d'Euler sur le plan

J.-M. Delort (1990/1991)

Séminaire Équations aux dérivées partielles (Polytechnique)

Currently displaying 101 – 120 of 179

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