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Displaying 61 – 73 of 73

Fractional Fokker-Planck-Kolmogorov type Equations and their Associated Stochastic Differential Equations

Hahn, Marjorie, Umarov, Sabir (2011)

Fractional Calculus and Applied Analysis

MSC 2010: 26A33, 35R11, 35R60, 35Q84, 60H10 Dedicated to 80-th anniversary of Professor Rudolf GorenfloThere is a well-known relationship between the Itô stochastic differential equations (SDEs) and the associated partial differential equations called Fokker-Planck equations, also called Kolmogorov equations. The Brownian motion plays the role of the basic driving process for SDEs. This paper provides fractional generalizations of the triple relationship between the driving process, corresponding...

Fredholm determinants

Henry McKean (2011)

Open Mathematics

The article provides with a down to earth exposition of the Fredholm theory with applications to Brownian motion and KdV equation.

Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid

Piotr Kacprzyk (2007)

Applicationes Mathematicae

The existence of a global motion of magnetohydrodynamic fluid in a domain bounded by a free surface and under the external electrodynamic field is proved. The motion is such that the velocity and magnetic field are small in the H³-space.

Free Boundary Problems Associated with Multiscale Tumor Models

A. Friedman (2009)

Mathematical Modelling of Natural Phenomena

The present paper introduces a tumor model with two time scales, the time t during which the tumor grows and the cycle time of individual cells. The model also includes the effects of gene mutations on the population density of the tumor cells. The model is formulated as a free boundary problem for a coupled system of elliptic, parabolic and hyperbolic equations within the tumor region, with nonlinear and nonlocal terms. Existence and uniqueness theorems are proved, and properties of the free boundary...

Free boundary problems for nonstationary Navier-Stokes equations [Book]

Ewa Zadrzyńska (2004)

Free boundary problems for Stoke's flows and finite element methods

Nitsche, Joachim A. (1986)

Equadiff 6

Free surface flow over an obstacle. Theoretical study of the fluvial case.

Boukari, D., Djouadi, R., Teniou, D. (2001)

Abstract and Applied Analysis

From discrete Boltzmann equation to compressible linearized Euler equations.

Bellouquid, Abdelghani (2004)

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

From the BGK model to the Navier–Stokes equations

Laure Saint-Raymond (2003)

Annales scientifiques de l'École Normale Supérieure

Front d’onde à l’infini pour l’équation de Schrödinger

Luc Robbiano, Claude Zuily (1999/2000)

Séminaire Équations aux dérivées partielles

Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem

Petr Kaplický, Josef Málek, Jana Stará (1997)

Commentationes Mathematicae Universitatis Carolinae

We prove the existence of regular solution to a system of nonlinear equations describing the steady motions of a certain class of non-Newtonian fluids in two dimensions. The equations are completed by requirement that all functions are periodic.

Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation.

Aschbacher, Walter H. (2009)

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

Further extended sinh-cosh and sin-cos methods and new nontraveling wave solutions of the $(2 + 1)$ -dimensional dispersive long wave equations.

Wang, Deng-Shan, Ren, Yu-Jie, Zhang, Hong-Qing (2005)

Applied Mathematics E-Notes [electronic only]

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