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[PDF] Top 20 Mathematical Physics in Diffusion Problems

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Mathematical Physics in Diffusion Problems

Mathematical Physics in Diffusion Problems

... the diffusion particles, except such an external force as Coulomb force for an ion ...of diffusion particles in the diffusion system ...the diffusion system from the diffusion system ... See full document

36

Application of the Hybrid Differential Transform Method to the Nonlinear Equations

Application of the Hybrid Differential Transform Method to the Nonlinear Equations

... Many problems in mathematical physics, theoretical phys- ics, chemical physics and theoretical biology are modeled by the so-called initial value and boundary value pro- blems in the ... See full document

5

On inverse problems in mathematical finance

On inverse problems in mathematical finance

... Recovering one-dimensional generalised diffusions from perpetual option prices Given a discount parameter, an objective function and a time-homogeneous diffusion started at a fixed point[r] ... See full document

132

A Regularization of Fredholm type singular integral equations

A Regularization of Fredholm type singular integral equations

... many mathematical models in applied problems in physics and engineering lead to a first or second kind Fredholm’s integral equation with singular kernel [1], considering this problem for the following ... See full document

6

Notes on the problems of relativistic nuclear physics

Notes on the problems of relativistic nuclear physics

... On the other hand, a holistic description of the lepton sector has been recently developed by us [2]-[5]. A number of strict mathematical facts has been found and among them are: the presence of the individual ... See full document

5

Blow up solution and stability to an inverse problem for a pseudo parabolic equation

Blow up solution and stability to an inverse problem for a pseudo parabolic equation

... This type of equations arises from a variety of mathematical models in engineering and physical sciences; for example, inverse scattering problems in quantum physics, an inverse problem [r] ... See full document

8

ZONAL AND ASSOCIATED FUNCTIONS ON SO0(p; q) GROUPS

ZONAL AND ASSOCIATED FUNCTIONS ON SO0(p; q) GROUPS

... The problem of transformation of generalized functions, concentrated on smooth sur- faces [13], and their derivatives arise in many problems of theoretical and mathematical physics and in particular, ... See full document

12

Diffusion in General Physics and the Theory of the Convective Diffusion

Diffusion in General Physics and the Theory of the Convective Diffusion

... q ik - the constants, which in (1) are equated to the coefficients of the interdiffusion . Their solutions are necessary, as an example, for examining the processes of mass transfer in the concentrated electrolytes. ... See full document

5

1.On positive solution for a class of nonlinear elliptic systems with indefinite weights

1.On positive solution for a class of nonlinear elliptic systems with indefinite weights

... Varga, Variational Principles in Mathematical Physics, Geom- etry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems , Encyclopedia of Mathematics and it[r] ... See full document

14

An analog of Titchmarsh's theorem for the Bessel transform in the space $\mathrm{L}_{p,\alpha}(\mathbb{R}_{+})$

An analog of Titchmarsh's theorem for the Bessel transform in the space $\mathrm{L}_{p,\alpha}(\mathbb{R}_{+})$

... Integral transforms and their inverses (e.g., the Bessel transform) are widely used to solve various problems in calculus, mechanics, mathematical physics, and computational mathematics [r] ... See full document

6

Ill-Posed Problems

Ill-Posed Problems

... ill-posed problems in the field of mathematical physics and partial differential and integral equations, there are many simpler yet not less important ill-posed problems among algebraic ... See full document

9

Comparative Analysis of Mathematical Knowledge in Physics Textbooks

Comparative Analysis of Mathematical Knowledge in Physics Textbooks

... the physics textbooks, the places of mathematical knowledge within the physics chapters were ...the mathematical knowledge included in the textbooks is modulated for both ...of ... See full document

9

Travelling wave solutions to some PDEs of mathematical physics

Travelling wave solutions to some PDEs of mathematical physics

... Nonlinear operations such as multiplication of distributions are not allowed in the classical theory of distributions. As a result, some ambiguities arise when we want to solve nonlinear partial differential equations ... See full document

16

SOLUTION OF BESSEL DIFFERENTIAL EQUATION OF ORDER ZERO BY USING DIFFERENT METHODS IN CRITICAL STUDYEntisar Alrasheed Sidahmed*1 and Magdi Elsheikh Idriss2

SOLUTION OF BESSEL DIFFERENTIAL EQUATION OF ORDER ZERO BY USING DIFFERENT METHODS IN CRITICAL STUDYEntisar Alrasheed Sidahmed*1 and Magdi Elsheikh Idriss2

... The Bessel differential equation is the linear second-order ordinary differential equation, it considered one of the most important ordinary differential equations due it is wide applications such as heat transfer, ... See full document

5

Delusions in Theoretical Hydrodynamics

Delusions in Theoretical Hydrodynamics

... There is an opinion that the continuous solution of the continuity equation in the problems of flowing when there are no viscous stresses will be a solution that is physically realisable. Broken and stalled flows ... See full document

29

The Mathematical Modeling of the Atmospheric Diffusion Equation

The Mathematical Modeling of the Atmospheric Diffusion Equation

... Estimating of crosswind integrated Gaussian and non-Gaussian concentration through different dispersion schemes is studied by [9]. Analytical solution of diffusion equation in two dimensions using two forms of ... See full document

5

Diffusion in hollow cylinders with mathematical treatment

Diffusion in hollow cylinders with mathematical treatment

... of diffusion-induced stresses is dislocation ...on diffusion- induced stresses in various systems including thin slab, long bars and solid cylinder, solid sphere and ...the diffusion-induced stresses ... See full document

19

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... The mathematical physics of dispersion of industrial effluent plumes emanating from conduit outfalls into fully ...the mathematical behaviour of dispersion of A good understanding of the mechanism of ... See full document

8

Onsager's variational principle in soft matter

Onsager's variational principle in soft matter

... The response of soft matter is characterized by its strong nonlinear and non-equilibrium nature. For example, the viscosity of polymer solutions is not constant, but decreases with increase of shear rate, and depends on ... See full document

9

A Comparative Study of Space and Time Fractional KdV Equation through Analytical Approach with Nonlinear Auxiliary Equation

A Comparative Study of Space and Time Fractional KdV Equation through Analytical Approach with Nonlinear Auxiliary Equation

... ( G G '/ ) -expansion method. The work produces abundant exact solutions in terms of hyperbolic, trigonometric, rational, exponential, and complex forms, which are new and more general than existing results in ... See full document

16

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