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Workshop on Mathematical and Computational Methods for Transport Equations
Mathematical Computational Methods Transport Equations
2014/11/3
The Workshop on Mathematical and Computational Methods for Transport Equations will be held from Nov 8 to Nov 9, in the Department of Mathematics, Shanghai Jiao University, Shanghai, China.
Recursion Relations and Functional Equations for the Riemann Zeta Function
Riemann zeta function zeros of zeta function recursion relation of zeta function functional equation of zeta function
2011/9/14
Abstract: New recursion relations for the Riemann zeta function are introduced. Their derivation started from the standard functional equation. The new functional equations have both real and imaginar...
Modular Equations and Evaluations of Ramanujan Quantities
Ramanujan Continued Fractions Quantities Modular Equations Derivatives Evaluations
2011/9/5
Abstract: In this article we continue a previous work, in which we have generalized the Rogers Ramanujan continued fraction (RR) introducing what we call, the Ramanujan-Quantities (RQ). In the present...
A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators
remark definitions of viscosity solutions integro-differential equations
2011/1/21
In this note, we shall consider the following problem F(x, u,∇u,∇2u)−ZRN [u(x+z)−u(x)−1|z|<1h∇u(x).
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
2010/12/28
The analysis of evolution equations such as ordinary or partial differential equations
often splits into two different directions. One either makes minimal assumptions about
their structure and trie...
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
2011/2/24
The analysis of evolution equations such as ordinary or partial differential equations often splits into two different directions. One either makes minimal assumptions about their structure and tries ...
Exponential Convergence to the Maxwell Distribution For Some Class of Boltzmann Equations
Exponential Convergence the Maxwell Distribution
2010/11/23
We consider a class of nonlinear Boltzmann equations describing return to thermal equilibrium in a gas of colliding particles suspended in a thermal medium. We study solutions in the space $L^{1}(\ma...
Null Asymptotics of Solutions of the Einstein-Maxwell Equations in General Relativity and Gravitational Radiation
the Einstein-Maxwell Equations General Relativity
2010/11/15
We prove that for spacetimes solving the Einstein-Maxwell (EM) equations, the electromagnetic field contributes at highest order to the nonlinear memory effect of gravitational waves. In [5] D. Christ...
A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations
error estimations mixed finite-element the Navier-Stokes equations
2010/11/18
A posteriori estimates for mixed finite element discretizations of the Navier-Stokes equations are derived. We show that the task of estimating the error in the evolutionary Navier-Stokes equations ca...
Finite dimensional global and exponential attractors for a coupled time-dependent Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover
Finite dimensional global exponential attractors
2010/11/9
We study a coupled nonlinear evolution system arising from the Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover. First, we prove that the initial boundary value problem genera...
Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications
Schrö dinger equations 4d applications
2010/11/9
We consider the energy critical nonlinear Schr\"odinger equation on periodic domains of the form R^m x T^{4-m} with m=0,1,2,3. Assuming that a certain L^4 Strichartz estimate holds for solutions to t...
Zero dissipation limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations
rarefaction wave vacuum for 1-D compressible Navier-Stokes equations
2010/11/15
It is well-known that one-dimensional isentropic gas dynamics has two elementary waves, i.e., shock wave and rarefaction wave. Among the two waves, only the rarefaction wave can be connected with vac...
On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations
Gaussian processes Fokker-Planck-Kolmogorov equations
2010/11/18
This paper establishes Fokker-Planck-Kolmogorov type equations for time-changed Gaussian processes. Examples include those equations for a time-changed fractional Brownian motion with time-dependent ...
Static two-grid mixed finite-element approximations to the Navier-Stokes equations
Static two-grid mixed finite-element the Navier-Stokes equations
2010/11/19
A two-grid scheme based on mixed finite-element approximations to the incompressible Navier-Stokes equations is introduced and analyzed. In the first level the standard mixed finite-element approxima...
Mass generation mechanism for spin 1/2 fermions in Dirac--Yang--Mills model equations with a symplectic gauge symmetry
Mass generation mechanism spin 1/2 fermions symplectic gauge symmetry
2010/12/8
n the StandardModel of electroweak interactions the fundamental fermions acquire masses by the Yukawa interaction with the (spin 0) Higgs field. In our model spin 1/2 fermions acquire masses by an int...