| Tài liệu tham khảo |
Loại |
Chi tiết |
| 1. Bird, G. A. Molecular gas dynamics and the direct simulation of gas flows. Oxford Engineering Science Series 42 (1994) |
Sách, tạp chí |
| Tiêu đề: |
OxfordEngineering Science Series 42 |
|
| 2. Bobylev, A. V. The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules. Mathematical physics reviews 7, 111–233 (1988) |
Sách, tạp chí |
| Tiêu đề: |
Mathematical physics reviews 7 |
|
| 4. Craciun, G. & Tran, M.-B. A reaction network approach to the convergence to equilibrium of quantum boltzmann equations for bose gases. arXiv preprint arXiv 1608.05438 (2016) |
Sách, tạp chí |
| Tiêu đề: |
arXiv preprint arXiv1608.05438 |
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| 5. Degond, P. & Lucquin-Desreux, B. The Fokker-Planck asymptotics of the Boltz- mann collision operator in the Coulomb case. M3AS 2, 167–182 (1992) |
Sách, tạp chí |
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| 6. E. Foster J. Loheac, M.-B. T. A Structure Preserving Scheme for the Kolmogorov Fokker Planck Equation. Journal of Computational Physics 330, 319–339 (2017) |
Sách, tạp chí |
| Tiêu đề: |
Journal of Computational Physics 330 |
|
| 8. Escobedo, M. & Mischler, S. On a quantum Boltzmann equation for a gas of pho- tons. J. Math. Pures Appl 9, 417–515 (2001) |
Sách, tạp chí |
| Tiêu đề: |
J. Math. Pures Appl 9 |
|
| 9. Escobedo, M. & Tran, M.-B. Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Kinetic and Related Mod- els 8(3), 493–531 (2015) |
Sách, tạp chí |
| Tiêu đề: |
Kinetic and Related Mod-els 8(3) |
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| 10. Filbet, F. & Russo, G. High order numerical methods for the space nonhomoge- neous Boltzmann equation. J. Comput. Phys. 186, 457–480 (2003) |
Sách, tạp chí |
| Tiêu đề: |
J. Comput. Phys. 186 |
|
| 11. I. M. Gamba, L. M. S. & Tran, M.-B. On the wave turbulence theory for stratified flows in the ocean. arXiv preprint arXiv 1709.08266 (2017) |
Sách, tạp chí |
| Tiêu đề: |
arXiv preprint arXiv 1709.08266 |
|
| 12. J.-A. Carrillo S. Mancini, M.-B. T. On the exponential convergence rate for a non- gradient Fokker-Planck equation in Computational Neuroscience. Journal of Ellip- tic and Parabolic Equations 1, 271–279 (2015) |
Sách, tạp chí |
| Tiêu đề: |
Journal of Ellip-tic and Parabolic Equations 1 |
|
| 13. Jin, S. & Tran, M.-B. Quantum hydrodynamic approximations to the nite tempera- ture trapped bose gases. Physica D: Nonlinear Phenomena 380–381, 45–57 (2018) |
Sách, tạp chí |
| Tiêu đề: |
Physica D: Nonlinear Phenomena 380–381 |
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| 14. L. Gerardo-Giorda, M.-B. T. Parallelizing the Kolmogorov-Fokker-Planck equa- tion. ESAIM Mathematical Modelling and Numerical Analysis, 49, 395–420 (2015) |
Sách, tạp chí |
| Tiêu đề: |
ESAIM Mathematical Modelling and Numerical Analysis, 49 |
|
| 16. Nguyen, T. T. & Tran, M.-B. On the Kinetic Equation in Zakharov’s Wave Turbu- lence Theory for Capillary Waves. SIAM J. Math. Anal 50(2), 2020–2047 (2018) |
Sách, tạp chí |
| Tiêu đề: |
SIAM J. Math. Anal 50(2) |
|
| 17. Nguyen, T. T. & Tran, M.-B. Uniform in time lower bound for solutions to a quan- tum boltzmann equation of bosons. Archive for Rational Mechanics and Analysis, Available online (2018) |
Sách, tạp chí |
| Tiêu đề: |
Archive for Rational Mechanics and Analysis,Available online |
|
| 18. P. Germain, A. D. I. & Tran, M.-B. Optimal local well-posedness theory for the kinetic wave equation. arXiv preprint arXiv 1711.05587 (2017) |
Sách, tạp chí |
| Tiêu đề: |
arXiv preprint arXiv 1711.05587 |
|
| 19. Pareschi, L. & Perthame, B. A Fourier spectral method for homogeneous Boltz- mann equations. Transport Theory Statist. Phys. 25 3-5, 369–382 (1996) |
Sách, tạp chí |
| Tiêu đề: |
Transport Theory Statist. Phys. 25 3-5 |
|
| 20. Pareschi, L. & Russo, G. Numerical solution of the Boltzmann equation. I. Spec- trally accurate approximation of the collision operator, SIAM J. Numer. Anal. 37, 1217–1245 (2000) |
Sách, tạp chí |
| Tiêu đề: |
I. Spec-trally accurate approximation of the collision operator, SIAM J. Numer. Anal. 37 |
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| 21. Pareschi, L. & Russo, G. On the stability of spectral methods for the homogeneous Boltzmann equation. Transport Theory Statist. Phys. 29, 431–447 (2000) |
Sách, tạp chí |
| Tiêu đề: |
Transport Theory Statist. Phys. 29 |
|
| 23. Reichl, L. E. & Tran, M.-B. A kinetic model for very low temperature dilute bose gases. arXiv preprint arXiv 1709.09982 (2017) |
Sách, tạp chí |
| Tiêu đề: |
arXiv preprint arXiv 1709.09982 |
|
| 24. S. Muralikrishnan M.-B. Tran, T. B.-T. An Iterative HDG Framework for Partial Differential Equations. SIAM Journal on Scientific Computing 39 no. 5, S782–S808 (2017) |
Sách, tạp chí |
| Tiêu đề: |
SIAM Journal on Scientific Computing 39 no. 5 |
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