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New developments in mathematical theory of fluid mechanics
1. | Institute of Mathematics AVČR, Zitná, 115 67 Praha 1 |
2. | Institute of Mathematics AVČR, Žitná, 115 67 Praha 1, Czech Republic |
3. | Institute of Mathematics, University of Paderborn, Warburger Straße 100, D33095 Paderborn |
4. | Institute of Mathematics University of Kassel, Heinrich-Plett-Straße 40, D34109 Kassel, Germany |
For more information please click the “Full Text” above.
[1] |
Rama Ayoub, Aziz Hamdouni, Dina Razafindralandy. A new Hodge operator in discrete exterior calculus. Application to fluid mechanics. Communications on Pure and Applied Analysis, 2021, 20 (6) : 2155-2185. doi: 10.3934/cpaa.2021062 |
[2] |
Weinan E, Jianfeng Lu. Mathematical theory of solids: From quantum mechanics to continuum models. Discrete and Continuous Dynamical Systems, 2014, 34 (12) : 5085-5097. doi: 10.3934/dcds.2014.34.5085 |
[3] |
Yangjin Kim, Avner Friedman, Eugene Kashdan, Urszula Ledzewicz, Chae-Ok Yun. Application of ecological and mathematical theory to cancer: New challenges. Mathematical Biosciences & Engineering, 2015, 12 (6) : i-iv. doi: 10.3934/mbe.2015.12.6i |
[4] |
François Gay-Balmaz, Darryl D. Holm. Predicting uncertainty in geometric fluid mechanics. Discrete and Continuous Dynamical Systems - S, 2020, 13 (4) : 1229-1242. doi: 10.3934/dcdss.2020071 |
[5] |
Deyue Zhang, Yukun Guo. Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory. Electronic Research Archive, 2021, 29 (2) : 2149-2165. doi: 10.3934/era.2020110 |
[6] |
Stéphane Heuraux, Filipe da Silva. Simulations on wave propagation in fluctuating fusion plasmas for Reflectometry applications and new developments. Discrete and Continuous Dynamical Systems - S, 2012, 5 (2) : 307-328. doi: 10.3934/dcdss.2012.5.307 |
[7] |
Alain Miranville, Mazen Saad, Raafat Talhouk. Preface: Workshop in fluid mechanics and population dynamics. Discrete and Continuous Dynamical Systems - S, 2014, 7 (2) : i-i. doi: 10.3934/dcdss.2014.7.2i |
[8] |
Eliot Fried. New insights into the classical mechanics of particle systems. Discrete and Continuous Dynamical Systems, 2010, 28 (4) : 1469-1504. doi: 10.3934/dcds.2010.28.1469 |
[9] |
Zongmin Yue, Fauzi Mohamed Yusof. A mathematical model for biodiversity diluting transmission of zika virus through competition mechanics. Discrete and Continuous Dynamical Systems - B, 2021 doi: 10.3934/dcdsb.2021235 |
[10] |
Giuseppe Marmo, Giuseppe Morandi, Narasimhaiengar Mukunda. The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics. Journal of Geometric Mechanics, 2009, 1 (3) : 317-355. doi: 10.3934/jgm.2009.1.317 |
[11] |
Melvin Leok, Diana Sosa. Dirac structures and Hamilton-Jacobi theory for Lagrangian mechanics on Lie algebroids. Journal of Geometric Mechanics, 2012, 4 (4) : 421-442. doi: 10.3934/jgm.2012.4.421 |
[12] |
Liang Zhao. New developments in using stochastic recipe for multi-compartment model: Inter-compartment traveling route, residence time, and exponential convolution expansion. Mathematical Biosciences & Engineering, 2009, 6 (3) : 663-682. doi: 10.3934/mbe.2009.6.663 |
[13] |
Richard S. Laugesen. New dissipated energies for the thin fluid film equation. Communications on Pure and Applied Analysis, 2005, 4 (3) : 613-634. doi: 10.3934/cpaa.2005.4.613 |
[14] |
Anatoli Babin, Alexander Figotin. Some mathematical problems in a neoclassical theory of electric charges. Discrete and Continuous Dynamical Systems, 2010, 27 (4) : 1283-1326. doi: 10.3934/dcds.2010.27.1283 |
[15] |
Eduard Feireisl. Mathematical theory of viscous fluids: Retrospective and future perspectives. Discrete and Continuous Dynamical Systems, 2010, 27 (2) : 533-555. doi: 10.3934/dcds.2010.27.533 |
[16] |
Claude Bardos, Nicolas Besse. The Cauchy problem for the Vlasov-Dirac-Benney equation and related issues in fluid mechanics and semi-classical limits. Kinetic and Related Models, 2013, 6 (4) : 893-917. doi: 10.3934/krm.2013.6.893 |
[17] |
Abdon Atangana, Sonal Jain. Models of fluid flowing in non-conventional media: New numerical analysis. Discrete and Continuous Dynamical Systems - S, 2020, 13 (3) : 467-484. doi: 10.3934/dcdss.2020026 |
[18] |
Weizhu Bao, Yongyong Cai. Mathematical theory and numerical methods for Bose-Einstein condensation. Kinetic and Related Models, 2013, 6 (1) : 1-135. doi: 10.3934/krm.2013.6.1 |
[19] |
G. Leugering, Marina Prechtel, Paul Steinmann, Michael Stingl. A cohesive crack propagation model: Mathematical theory and numerical solution. Communications on Pure and Applied Analysis, 2013, 12 (4) : 1705-1729. doi: 10.3934/cpaa.2013.12.1705 |
[20] |
Carlos Castillo-Chavez, Bingtuan Li, Haiyan Wang. Some recent developments on linear determinacy. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 1419-1436. doi: 10.3934/mbe.2013.10.1419 |
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