Results 11 to 20 of about 372 (75)
Conservation laws for incompressible fluids
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 2, Page 377-384, 1989., 1989 By means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian) formulation. A new infinite family of conservation laws is determined, besides those for linear momentum, angular ...
G. Caviglia, A. Morro
wiley +1 more source
On singularities of capillary surfaces in the absence of gravity
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 81-87, 1983., 1983 We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.
V. Roytburd
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A mathematical PDE perspective on the Chapman–Enskog expansion
, 2013 This paper presents in a synthetic way some recent advances on hydrodynamic limits of the Boltzmann equation. It aims at bringing a new light to these results by placing them in the more general framework of asymptotic expansions of Chapman–Enskog type ...
L. Saint-Raymond
semanticscholar +1 more source
Rigorous derivation of a binary-ternary Boltzmann equation for a non ideal gas of hard spheres
Forum of Mathematics, SigmaThis paper focuses on dynamics of systems of particles that allow interactions beyond binary, and their behavior as the number of particles goes to infinity.
Ioakeim Ampatzoglou, Nataša Pavlović
doaj +1 more source
Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential [PDF]
We study the linear relaxation Boltzmann equation, a simple semiclassical kinetic model. We provide a resolvent estimate for an associated non-selfadjoint operator as well as an estimate on the return to equilibrium. This is done using a scaling argument
Robbe, Virgile
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Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy [PDF]
In this paper we develop high-order asymptotic-preserving methods for the spatially inhomogeneous quantum Boltzmann equation. We follow the work in Li and Pareschi, where asymptotic preserving exponential Runge-Kutta methods for the classical ...
Hu, Jingwei, Li, Qin, Pareschi, Lorenzo
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Results in PhysicsThe space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder +4 more
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Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model [PDF]
We present a parareal in time algorithm for the simulation of neutron diffusion transient model. The method is made efficient by means of a coarse solver defined with large time steps and steady control rods model.
Baudron, Anne-Marie A. -M. +4 more
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Network-based kinetic models: Emergence of a statistical description of the graph topology
European Journal of Applied MathematicsIn this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent systems.
Marco Nurisso +2 more
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A Boltzmann model for rod alignment and schooling fish [PDF]
We consider a Boltzmann model introduced by Bertin, Droz and Greegoire as a binary interaction model of the Vicsek alignment interaction. This model considers particles lying on the circle.
Carlen, Eric a. +3 more
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