Yuan, Baoquan; Li, Changhao Stability and large time behavior of the 2D Boussinesq equations with velocity supercritical dissipation. (English) Zbl 07971456 J. Differ. Equations 416, Part 2, 927-952 (2025). MSC: 35Q35 35Q86 76D03 × Cite Format Result Cite Review PDF Full Text: DOI
Patibandla, Ramana; Roy, Anubhab; Subramanian, Ganesh The flow field due to a sphere moving in a viscous, density-stratified fluid. (English) Zbl 07967107 J. Fluid Mech. 1002, Paper No. A44, 38 p. (2025). MSC: 76D50 76D05 76M45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Zhuang; Xu, Runzhang Improved growth estimate for one-dimensional sixth-order Boussinesq equation with logarithmic nonlinearity. (English) Zbl 07961439 Appl. Math. Lett. 160, Article ID 109290, 6 p. (2025). MSC: 35B45 35L35 35L76 × Cite Format Result Cite Review PDF Full Text: DOI
Iooss, Gérard Existence of orthogonal domain walls in Bénard-Rayleigh convection. (English) Zbl 07959172 J. Math. Fluid Mech. 27, No. 1, Paper No. 4, 27 p. (2025). MSC: 76R10 76D03 35Q30 37N10 80A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pu, Xueke; Zhou, Wenli The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain. (English) Zbl 07955750 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113688, 22 p. (2025). MSC: 35Q35 35Q86 86A05 76U60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Esfahani, Amin; Tesfahun, Achenef Well-posedness and analyticity of solutions for the sixth-order Boussinesq equation. (English) Zbl 07955303 Commun. Contemp. Math. 27, No. 2, Article ID 2450005, 29 p. (2025). MSC: 35A20 35B45 35L70 35Q53 37K10 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gharibi, Zeinab Mixed virtual element approximation for the five-field formulation of the steady Boussinesq problem with temperature-dependent parameters. (English) Zbl 07951580 J. Sci. Comput. 102, No. 1, Paper No. 4, 51 p. (2025). MSC: 65N30 65N12 65N15 76D05 76R10 76M10 47H10 35A01 35B65 35A15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Minzhi; Fan, Feiting; Chen, Xingwu Existence of periodic and solitary waves of a Boussinesq equation under perturbations. (English) Zbl 07947281 Nonlinear Anal., Real World Appl. 81, Article ID 104223, 18 p. (2025). MSC: 35Qxx 34Cxx 35Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Chengfeng; Jiang, Shan; Liu, Hui Study on the well-posedness of stochastic Boussinesq equations with Navier boundary conditions. (English) Zbl 07939968 Math. Found. Comput. 8, No. 1, 1-15 (2025). MSC: 35Q35 60H15 60H30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ming; He, Guoliang; Xu, Tao Wronskian solutions and \(N\)-soliton solutions for the Hirota-Satsuma equation. (English) Zbl 07927823 Appl. Math. Lett. 159, Article ID 109279, 7 p. (2025). MSC: 35Q53 35Q35 35C08 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Aydın, Mustafa Sencer; Kukavica, Igor; Ziane, Mohammed On asymptotic properties of the Boussinesq equations. (English) Zbl 07923038 Discrete Contin. Dyn. Syst., Ser. B 30, No. 1, 26-43 (2025). MSC: 35Q30 35Q35 76D05 35B40 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jian; Zhang, Wen; Yue, Jing; Peng, Keyi; Chen, Zhangxing A deep learning method for incompressible fluid equations and the coupling problems. (Chinese. English summary) Zbl 07969228 Math. Numer. Sin. 46, No. 2, 232-252 (2024). MSC: 35Q30 65M12 68T07 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Korn, Peter; Titi, E. S. Global well-posedness of the primitive equations of large-scale ocean dynamics with the Gent-McWilliams-Redi eddy parametrization model. (English) Zbl 07965634 SIAM J. Math. Anal. 56, No. 6, 8011-8036 (2024). MSC: 35Q35 35Q86 74A15 76D03 80A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jang K. C., Durga; Regmi, Dipendra; Tao, Lizheng; Wu, Jiahong The 2D Boussinesq-Navier-Stokes equations with logarithmically supercritical dissipation. (English) Zbl 07965557 J. Math. Study 57, No. 1, 101-132 (2024). MSC: 35Q35 35B35 35B65 76D03 × Cite Format Result Cite Review PDF Full Text: DOI
Karimov, Sh.; Oripov, Sh. A Cauchy problem for the Boussinesq-Love equation with the Bessel operator. (English) Zbl 07961809 Lobachevskii J. Math. 45, No. 9, 4520-4533 (2024). MSC: 35G10 35L82 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Shakeel, Muhammad; Liu, Xinge; Al-Yaari, Abdullah Interaction of lump, periodic, bright and kink soliton solutions of the \((1+1)\)-dimensional Boussinesq equation using Hirota-bilinear approach. (English) Zbl 07961683 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 77, 18 p. (2024). MSC: 35-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Conte, Dajana; Moradi, Leila; Paternoster, Beatrice Exponentially fitted IMEX peer methods for an advection-diffusion problem. (English) Zbl 07961506 Comput. Methods Differ. Equ. 12, No. 2, 287-303 (2024). MSC: 65C20 65M06 35A24 65L12 × Cite Format Result Cite Review PDF Full Text: DOI
Bakholdin, I. B. Investigation of stability of supersonic solitary waves in an elastic electrically conductive micropolar material. (English) Zbl 07961375 Comput. Math. Math. Phys. 64, No. 11, 2672-2679 (2024). MSC: 76-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Yan, J. L.; Zheng, L. H.; Zeng, C.; Zhu, L. High-order energy-preserving compact difference schemes for the improved Boussinesq equation. (English) Zbl 07961365 Comput. Math. Math. Phys. 64, No. 11, 2523-2548 (2024). MSC: 65M06 65N06 65M12 76B15 35R25 35Q35 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Komornik, Vilmos; Pazoto, Ademir F.; Vieira, Miguel D. Soto Boundary controllability of a Korteweg-de Vries-type Boussinesq system. (English) Zbl 07961227 Math. Nachr. 297, No. 12, 4478-4496 (2024). Reviewer: Changxing Miao (Beijing) MSC: 35Q35 35Q53 35Q31 93B05 93C20 93B52 76B15 35G40 × Cite Format Result Cite Review PDF Full Text: DOI
Zamyshlyaeva, A. A.; Bychkov, E. V. Initial-boundary value problem for a nonlinear modified Boussinesq equation. (English. Russian original) Zbl 07959297 Differ. Equ. 60, No. 8, 1065-1073 (2024); translation from Differ. Uravn. 60, No. 8, 1076-1085 (2024). MSC: 35G31 35L82 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jiangwei; Huang, Jianhua Convergence rates and central limit theorem for 3-D stochastic fractional Boussinesq equations with transport noise. (English) Zbl 07955365 Physica D 470, Part A, Article ID 134406, 18 p. (2024). MSC: 60H15 60F05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Yaru; Geng, Xianguo; Zhai, Yunyun Riemann theta function solutions to the semi-discrete Boussinesq equations. (English) Zbl 07955358 Physica D 470, Part A, Article ID 134398, 10 p. (2024). MSC: 37Kxx 14Hxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Bernuzzi, P.; Dijkstra, H. A.; Kuehn, C. Warning signs for boundary noise and their application to an ocean Boussinesq model. (English) Zbl 07955351 Physica D 470, Part A, Article ID 134391, 20 p. (2024). MSC: 35R60 35Q35 37H20 60H15 86A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Jicheng; Feng, Yuqiang Lie symmetries, exact solutions and conservation laws of time fractional Boussinesq-Burgers system in ocean waves. (English) Zbl 07955092 Commun. Theor. Phys. 76, No. 12, Article ID 125002, 11 p. (2024). MSC: 35R11 26A33 35B06 35Q35 76M60 × Cite Format Result Cite Review PDF Full Text: DOI
Babajanov, B. A.; Abdikarimov, F. B.; Sulaymonov, F. U. On the integration of the hierarchy of the Kaup-Boussinesq system with a self-consistent source. (English) Zbl 07954507 Lobachevskii J. Math. 45, No. 7, 3233-3245 (2024). MSC: 35Q55 35Q35 35Q53 35C08 37K10 37K15 76B25 35P25 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Jiashang; Zhang, Qiangheng Dynamics of double time-delayed Newton-Boussinesq equations on unbounded domains. (English) Zbl 07950929 Bull. Iran. Math. Soc. 50, No. 6, Paper No. 81, 37 p. (2024). MSC: 35Q35 35B40 35B41 35A01 35A02 37L05 34K20 35R10 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Ngoc, Tran Thi; Xuan, Pham Truong Stability of solutions of stationary Boussinesq systems in weak-Morrey spaces. (English) Zbl 07948898 Bull. Braz. Math. Soc. (N.S.) 55, No. 4, Paper No. 49, 24 p. (2024). MSC: 35B40 35B65 35Q30 35Q35 76D03 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fanelli, Francesco; Feireisl, Eduard Thermally driven fluid convection in the incompressible limit regime. (English) Zbl 07948545 Pure Appl. Anal. 6, No. 3, 835-858 (2024). MSC: 35Q30 35B40 35B25 76N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jafari, Mehdi; Mahdion, Somayehsadat Analysis of generalized quasilinear hyperbolic and Boussinesq equations from the point of view of potential symmetry. (English) Zbl 07942826 J. Finsler Geom. Appl. 5, No. 1, 1-10 (2024). Reviewer: Jean-Claude Ndogmo (Thohoyandou) MSC: 76M60 76D99 × Cite Format Result Cite Review PDF Full Text: DOI
Asiri, Sharefa; Ashi, H. A. Direct and inverse problems in the generalized logarithmic Boussinesq equation. (English) Zbl 07942550 Comput. Math. Math. Phys. 64, No. 9, 2034-2044 (2024). MSC: 76-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Poblete, Felipe; Silva, Clessius; Viana, Arlúcio On the Boussinesq system with fractional memory in pseudo-measure spaces. (English) Zbl 07937639 Asymptotic Anal. 139, No. 3-4, 157-181 (2024). MSC: 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Gebhard, Björn; Hirsch, Jonas; Kolumbán, József J. On a degenerate elliptic problem arising in the least action principle for Rayleigh-Taylor subsolutions. (English) Zbl 07930633 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 6, 1527-1594 (2024). MSC: 35J70 35J75 76E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Powell, Charles W.; Haynes, Peter H.; Taylor, John R. Diagnosing tracer transport in convective penetration of a stably stratified layer. (English) Zbl 07930443 J. Fluid Mech. 997, Paper No. A48, 40 p. (2024). MSC: 76F25 76F45 76F35 76F65 76M20 80A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baranovskii, Evgenii S.; Brizitskii, Roman V.; Saritskaia, Zhanna Yu. Multiplicative control problem for the stationary mass transfer model with variable coefficients. (English) Zbl 07930229 Appl. Math. Optim. 90, No. 2, Paper No. 46, 21 p. (2024). MSC: 35Q35 76D03 76D55 35D30 35B50 35A01 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Leng, Haitao An exactly divergence-free hybridized discontinuous Galerkin method for the generalized Boussinesq equations with singular heat source. (English) Zbl 07927030 ESAIM, Math. Model. Numer. Anal. 58, No. 4, 1347-1383 (2024). MSC: 65N12 65N30 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Saut, Jean-Claude; Xu, Li Boussinesq, Schrödinger and Euler-Korteweg. (English) Zbl 07925344 Machihara, Shuji (ed.), Mathematical physics and its interactions. In honor of the 60th birthday of Tohru Ozawa, Tokyo, Japan, August 25–27, 2021. Conference proceedings. Singapore: Springer. Springer Proc. Math. Stat. 451, 255-282 (2024). MSC: 35Q35 35Q55 35Q41 35Q53 76B15 76B25 76B03 35C08 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Lin; Liu, Hui; Sun, Cheng-Feng Global smooth solution for the modified anisotropic 3D Boussinesq equations with damping. (English) Zbl 1547.35555 J. Appl. Anal. Comput. 14, No. 4, 2171-2195 (2024). MSC: 35Q35 76D03 × Cite Format Result Cite Review PDF Full Text: DOI
Shang, Yadong; Di, Huafei Bäcklund transformations and infinite new explicit exact solutions of a variant Boussinesq equations. (English) Zbl 07924042 J. Appl. Anal. Comput. 14, No. 4, 2140-2157 (2024). MSC: 35C07 35A22 35Q35 37G10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Doss, L. Jones Tarcius; Merlin, V. Jenish An optimal order \(H^1\)-Galerkin mixed finite element method for good Boussinesq equation. (English) Zbl 1547.65139 Comput. Appl. Math. 43, No. 7, Paper No. 402, 29 p. (2024). MSC: 65M60 35G20 35Q53 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Eguchi, Taichi The energy equality of the magnetohydrodynamic system in the framework of Lebesgue-Besov and Lorentz-Besov spaces. (English) Zbl 07922101 J. Math. Anal. Appl. 539, No. 1, Part 1, Article ID 128457, 21 p. (2024). MSC: 35Q35 76W05 76D05 46E30 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Bo; Zhou, Jiang Global well-posedness of the 3D generalized Boussinesq equations. (English) Zbl 07922072 Discrete Contin. Dyn. Syst., Ser. B 29, No. 12, 4821-4829 (2024). MSC: 76B03 76D03 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kukavica, Igor; Le, Quinn On the pointwise Schauder estimates for elliptic and parabolic equations. (English) Zbl 07922028 Discrete Contin. Dyn. Syst. 44, No. 12, 3734-3759 (2024). MSC: 35Q30 35Q35 76D05 35B65 35B40 35J48 35K41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lasiecka, Irena; Rodrigues, José H. On weak/strong attractor for a 3-D structural-acoustic interaction with Kirchhoff-Boussinesq elastic wall subject to restricted boundary dissipation. (English) Zbl 1548.35082 J. Dyn. Differ. Equations 36, No. 3, 2793-2825 (2024). MSC: 35B41 35L35 35L76 37L30 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Hong, Younghun; Yang, Changhun On the Korteweg-de Vries limit for the Boussinesq equation. (English) Zbl 1547.35602 J. Differ. Equations 408, 94-116 (2024). MSC: 35Q53 35Q35 76B15 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Mengni; Wang, Yan-Lin Zero-viscosity limit for Boussinesq equations with vertical viscosity and Navier boundary in the half plane. (English) Zbl 1547.35687 Nonlinear Anal., Real World Appl. 80, Article ID 104150, 16 p. (2024). MSC: 35Q86 35Q31 86A05 86A10 76B03 76E20 76D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nijhoff, F. W.; Zhang, D.-J. On the Lagrangian multiform structure of the extended lattice Boussinesq system. (English) Zbl 07915240 Open Commun. Nonlinear Math. Phys. 2024, Spec. Iss. 1, Paper No. 16, 10 p. (2024). MSC: 39A36 39A14 39A12 37K60 37K10 37K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hietarinta, Jarmo Degree growth of lattice equations defined on a \(3\times 3\) stencil. (English) Zbl 07915237 Open Commun. Nonlinear Math. Phys. 2024, Spec. Iss. 1, Paper No. 13, 19 p. (2024). MSC: 39A36 39A14 39A22 37K60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Song-lin; Yan, Ke; Sun, Ying-ying Revisiting solutions of the Adler-Bobenko-Suris lattice equations and lattice Boussinesq-type equations. (English. Russian original) Zbl 1547.39012 Theor. Math. Phys. 219, No. 3, 944-972 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 474-507 (2024). MSC: 39A36 39A14 39A21 37K60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Peixin; Li, Qian Zero dissipation limit of the anisotropic Boussinesq equations with Navier-slip and Neumann boundary conditions. (English) Zbl 1547.35576 Physica D 468, Article ID 134301, 9 p. (2024). MSC: 35Q35 35Q86 76D10 76D05 76B03 86A05 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Ludu, Andrei; Khanal, Harihar; Carstea, Adrian Stefan Nonlinear non-autonomous Boussinesq equations. (English) Zbl 1544.35136 Electron. J. Differ. Equ. 2024, Conf. 27, 27-47 (2024). MSC: 35Q51 35Q53 35G50 34E13 93C70 × Cite Format Result Cite Review PDF Full Text: DOI
Yadav, Jyoti U.; Singh, Twinkle R. A comparative study of two novel analytical methods for solving time-fractional coupled Boussinesq-Burger equation. (English) Zbl 07907437 Appl. Appl. Math. 19, No. 1, Paper No. 13, 24 p. (2024). MSC: 35R11 35F55 35C05 × Cite Format Result Cite Review PDF Full Text: Link
Bianchini, Roberta; Hientzsch, Lars Eric; Iandoli, Felice Strong ill-Posedness in \(L^\infty\) of the 2D Boussinesq equations in vorticity form and application to the 3D axisymmetric Euler equations. (English) Zbl 07906796 SIAM J. Math. Anal. 56, No. 5, 5915-5968 (2024). MSC: 35Q35 35Q31 35Q86 76F10 76E20 35B07 35B44 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández-Cara, Enrique; Límaco, Juan B.; Nina-Huaman, Dany On the controllability of the “complete” Boussinesq system. (English) Zbl 1547.35546 Appl. Math. Optim. 90, No. 2, Paper No. 30, 16 p. (2024). MSC: 35Q35 35Q79 76D05 76D10 93B05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Xiao; Wang, Shubin On the Cauchy problem for the generalized Boussinesq equation with a damped term. (English) Zbl 07906343 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 5, 1766-1786 (2024). MSC: 35L30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Tianwen; Tao, Tao; Zhang, Liqun Hölder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion. (English) Zbl 1546.35143 Sci. China, Math. 67, No. 8, 1777-1806 (2024). MSC: 35Q30 76D03 76D05 35B10 35D30 80A19 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Shuokai; Wang, Lu; Zhang, Qinghua Local and global solvability for the Boussinesq system in Besov spaces. (English) Zbl 1544.35117 Open Math. 22, Article ID 20230182, 15 p. (2024). MSC: 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Elistratov, Stepan; But, Ivan Towards the salinity profile influence on an internal wave attractor formation. (English) Zbl 07901733 Water Waves 6, No. 2, 333-348 (2024). Reviewer: Vincent Duchêne (Rennes) MSC: 76D33 76D50 76M22 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Yuan, Lianghong; Chen, Hu Error estimate of a fully decoupled numerical scheme based on the scalar auxiliary variable (SAV) method for the Boussinesq system. (English) Zbl 1543.65164 Commun. Nonlinear Sci. Numer. Simul. 136, Article ID 108102, 14 p. (2024). MSC: 65M60 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shuheng; Li, Yuan Optimal convergent analysis of a linearized Euler finite element scheme for the 2D incompressible temperature-dependent MHD-Boussinesq equations. (English) Zbl 1547.65150 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108264, 17 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 80A19 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, LingLing; Han, HongTao \(N\)-soliton solutions of coupled Schrödinger-Boussinesq equation with variable coefficients. (English) Zbl 1545.35189 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108185, 14 p. (2024). MSC: 35Q55 35Q41 35Q35 35Q51 37K35 37K45 35C08 76X05 35B40 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Xiao-Tian; Tian, Bo; Zhou, Tian-Yu; Shen, Yuan; Feng, Chun-Hui For the shallow water waves: bilinear-form and similarity-reduction studies on a Boussinesq-Burgers system. (English) Zbl 1545.35108 Int. J. Theor. Phys. 63, No. 7, Paper No. 179, 10 p. (2024). MSC: 35Q35 76B15 35C08 68W30 37K10 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Dekhkonov, Kh. T.; Fayziev, Yu. E.; Ashurov, R. R. On the non-local problem for a Boussinesq type equations. (English) Zbl 1545.35105 Lobachevskii J. Math. 45, No. 3, 1023-1031 (2024). MSC: 35Q35 35R30 35A01 35A02 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Rong; Yang, Zhichun; Zhou, Shouming On the Cauchy problem for a wave-structure interaction problem. (English) Zbl 1545.35102 Discrete Contin. Dyn. Syst., Ser. S 17, No. 8, 2640-2653 (2024). MSC: 35Q35 35Q31 76D03 74F10 35G25 35L05 35B44 35D35 35D30 35R35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Liang-Li; Lü, Xing; Zhu, Sheng-Zhi Painlevé analysis, Bäcklund transformation and soliton solutions of the \((2 + 1)\)-dimensional variable-coefficient Boussinesq equation. (English) Zbl 1545.35136 Int. J. Theor. Phys. 63, No. 7, Paper No. 160, 14 p. (2024). MSC: 35Q35 35C08 37J35 37J65 76B15 76B25 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Qianqian; Hou, Yuanyuan; He, Xiaoming Optimal error estimates of a second-order fully decoupled finite element method for the nonstationary generalized Boussinesq model. (English) Zbl 07890852 J. Comput. Appl. Math. 450, Article ID 116001, 15 p. (2024). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yong; Wei, Juncheng; Yang, Wen Uniqueness of lump solution to the KP-I equation. (English) Zbl 1544.35012 Proc. Lond. Math. Soc. (3) 129, No. 1, Article ID e12619, 45 p. (2024). MSC: 35A02 35C07 35G25 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miao, Changxing; Nie, Yao; Ye, Weikui On Onsager’s type conjecture for the inviscid Boussinesq equations. (English) Zbl 1544.35127 J. Funct. Anal. 287, No. 7, Article ID 110527, 52 p. (2024). MSC: 35Q35 35Q31 76D03 76R10 76F02 35D30 35B65 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Xiaoyu; Huang, Qing Higher-dimensional integrable deformations of the classical Boussinesq-Burgers system. (English) Zbl 1544.35133 Commun. Theor. Phys. 76, No. 6, Article ID 065001, 12 p. (2024). MSC: 35Q51 37K10 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Mu, Pengcheng Ekman layer of rotating stratified viscous Boussinesq equations in rotation-dominant limit. (English) Zbl 1543.35171 Nonlinear Anal., Real World Appl. 79, Article ID 104113, 18 p. (2024). MSC: 35Q35 35Q86 76U65 76D50 86A05 86A10 35B40 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Baranovskii, E. S. The stationary Navier-Stokes-Boussinesq system with a regularized dissipation function. (English. Russian original) Zbl 1546.35147 Math. Notes 115, No. 5, 670-682 (2024); translation from Mat. Zametki 115, No. 5, 665-678 (2024). MSC: 35Q35 76D05 35C08 35D30 35D35 35A01 35A02 80A19 76A05 × Cite Format Result Cite Review PDF Full Text: DOI
Sidorovas, Nerijus; Tseluiko, Dmitri; Choi, Wooyoung; Khusnutdinova, Karima Nonlinear concentric water waves of moderate amplitude. (English) Zbl 07881962 Wave Motion 128, Article ID 103295, 22 p. (2024). MSC: 76-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Caifeng; Li, Maohua Families of exact solutions of a generalized \((2+1)\)-dimensional Boussinesq type equation. (English) Zbl 07881956 Wave Motion 127, Article ID 103297, 11 p. (2024). MSC: 35-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Feng; Geng, Fazhan; Yao, Lingxing Numerical solutions of Schrödinger-Boussinesq system by orthogonal spline collocation method. (English) Zbl 1541.65122 J. Comput. Appl. Math. 449, Article ID 115984, 17 p. (2024). MSC: 65M70 35Q55 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Brizitskii, R. V. Boundary value and control problems for mass transfer equations with variable coefficients. (English) Zbl 1543.35148 J. Dyn. Control Syst. 30, No. 2, Paper No. 24, 15 p. (2024). MSC: 35Q35 76D03 76D55 35D30 35D35 35B50 35A01 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Bardos, Claude; Liu, Xin; Titi, Edriss S. Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: the fast waves correction. (English) Zbl 1543.35139 Commun. Math. Phys. 405, No. 7, Paper No. 164, 24 p. (2024). MSC: 35Q31 35Q86 76B15 76U65 35B40 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gatica, Gabriel N.; Gharibi, Zeinab A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. (English) Zbl 1541.65152 J. Comput. Appl. Math. 447, Article ID 115885, 28 p. (2024). MSC: 65N30 65N12 65N15 65N99 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Kwak, Chulkwang; Maulén, Christopher Ill-posedness issues on (abcd)-Boussinesq system. (English) Zbl 07876072 J. Dyn. Differ. Equations 36, No. 2, 1123-1152 (2024). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 35Q53 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nečasová, Šárka; Simon, John Sebastian H. On a nonlocal two-phase flow with convective heat transfer. (English) Zbl 1542.37069 J. Nonlinear Sci. 34, No. 4, Paper No. 65, 32 p. (2024). MSC: 37N10 45K05 76D03 76D05 76T06 35D30 35B40 35Q30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carlos, Romulo D.; Costa, Gustavo S. A.; Figuereido, Giovany M. Existence and concentration of solutions for a class of Kirchhoff-Boussinesq equation with exponential growth in \(\mathbb{R}^4\). (English) Zbl 1546.35047 Bull. Braz. Math. Soc. (N.S.) 55, No. 2, Paper No. 14, 24 p. (2024). MSC: 35J30 35J62 35A01 35J35 × Cite Format Result Cite Review PDF Full Text: DOI
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio The Oberbeck-Boussinesq approximation and Rayleigh-Bénard convection revisited. (English) Zbl 07868745 Discrete Contin. Dyn. Syst. 44, No. 8, 2387-2402 (2024). MSC: 76D03 76Rxx 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Menghan; Wen, Zhihong Regularity criteria of the 2D fractional Boussinesq equations in the supercritical case. (English) Zbl 1546.35151 J. Math. Anal. Appl. 538, No. 2, Article ID 128407, 22 p. (2024). MSC: 35Q35 76D05 35B65 35B35 26A33 35R11 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Khorbatly, Bashar; Kalisch, Henrik Rigorous estimates on mechanical balance laws in the Boussinesq-Peregrine equations. (English) Zbl 07867802 Stud. Appl. Math. 152, No. 3, 847-867 (2024). Reviewer: Philippe Briet (Toulon) MSC: 35Q35 35Q31 76B15 76B07 35B40 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Chamorro, Diego; Mîndrilă, Claudiu A new approach for the regularity of weak solutions of the 3D Boussinesq system. (English) Zbl 1543.35060 Nonlinearity 37, No. 6, Article ID 065019, 41 p. (2024). Reviewer: Zhuan Ye (Xuzhou) MSC: 35B65 35K55 76D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jiajie Remarks on the smoothness of the \(C^{1,\alpha}\) asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations. (English) Zbl 1541.35368 Nonlinearity 37, No. 6, Article ID 065018, 32 p. (2024). MSC: 35Q35 35Q31 76B03 35C06 35B44 35A21 35B40 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basarić, Danica; Chaudhuri, Nilasis Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system. (English) Zbl 1541.35338 Nonlinearity 37, No. 6, Article ID 065008, 37 p. (2024). MSC: 35Q30 35B30 76N10 76M50 80A17 35B40 35B27 74F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flandoli, Franco; Luo, Dejun On the Boussinesq hypothesis for a stochastic Proudman-Taylor model. (English) Zbl 07864222 SIAM J. Math. Anal. 56, No. 3, 3886-3923 (2024). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 76D05 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Neng; Qu, Wenjing Existence and bifurcation of traveling wave solutions to a generalized Boussinesq equation with nonlinear dispersion. (English) Zbl 1547.35594 Math. Methods Appl. Sci. 47, No. 6, 4840-4852 (2024). MSC: 35Q51 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Sharma, Sachin; Sharma, Naina A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations. (English) Zbl 07860039 Int. J. Comput. Math. 101, No. 2, 194-216 (2024). MSC: 65D07 65M06 65M12 65M22 65Y20 35K41 35C08 35Q74 35Q53 35Q35 65N50 65D05 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Carlos, Romulo D.; Figueiredo, Giovany M.; Ruviaro, Ricardo Kirchhoff-Boussinesq-type problems with positive and zero mass. (English) Zbl 1541.35225 Appl. Anal. 103, No. 1, 16-28 (2024). MSC: 35J62 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yang; Ma, Zhengping Scale law investigation of the curved boundary layer flow around a horizontal cylinder – for \(Pr < 1\) fluids. (English) Zbl 07858296 Eur. J. Mech., B, Fluids 104, 32-47 (2024). MSC: 76D10 76D05 76R10 76M12 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Jarrín, Oscar On the existence, regularity and uniqueness of \(L^p\)-solutions to the steady-state 3D Boussinesq system in the whole space and with gravity acceleration. (English) Zbl 1541.35380 SN Partial Differ. Equ. Appl. 5, No. 3, Paper No. 14, 30 p. (2024). MSC: 35Q35 76D05 35A01 35A02 35B53 35B65 35D30 35K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Jingbo; Dong, Bo-Qing; Ye, Zhuan Global regularity for the 2D non-diffusive Boussinesq equations with anisotropic critical dissipation. (English) Zbl 1539.35197 Discrete Contin. Dyn. Syst., Ser. S 17, No. 3, 1133-1145 (2024). MSC: 35Q35 35B65 76B03 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Shang; Huang, Jianhua Well-posedness and limit behavior of stochastic fractional Boussinesq equation driven by nonlinear noise. (English) Zbl 1546.37126 Physica D 461, Article ID 134104, 22 p. (2024). MSC: 37L55 35R11 35R60 60F10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Niu, Dongjuan; Peng, Jiao; Wang, Lu On the global well-posedness and striated regularity of the 2D Boussinesq-MHD system. (English) Zbl 1539.76279 Math. Methods Appl. Sci. 47, No. 4, 2572-2595 (2024). MSC: 76W05 35Q35 76D03 35B65 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Amorim, Charles Braga; de Almeida, Marcelo Fernandes; Mateus, Éder Global existence of solutions for Boussinesq system with energy dissipation. (English) Zbl 1540.35280 J. Math. Anal. Appl. 531, No. 2, Part 1, Article ID 127905, 19 p. (2024). MSC: 35Q30 76D05 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Lixiang; Li, Chuanzhong; Wang, Haifeng Bäcklund transformations of multi-component Boussinesq and Degasperis-Procesi equations. (English) Zbl 1546.37117 Int. J. Geom. Methods Mod. Phys. 21, No. 3, Article ID 2450066, 39 p. (2024). MSC: 37K35 37K10 37K20 37K60 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Qian; Tian, Shou-Fu; Liu, Ji-Chuan; Wu, Yan-Qiang Breather transitions and their mechanisms of a (2+1)-dimensional sine-Gordon equation and a modified Boussinesq equation in nonlinear dynamics. (English) Zbl 1542.35111 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 171, 26 p. (2024). MSC: 35C08 35Q35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jiajie; Hou, Thomas Y. On stability and instability of \(C^{1, \alpha}\) singular solutions to the 3D Euler and 2D Boussinesq equations. (English) Zbl 1541.35359 Commun. Math. Phys. 405, No. 5, Paper No. 112, 53 p. (2024). MSC: 35Q31 35Q35 35B35 76B03 76E30 35A21 35B44 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Saiguo; Tan, Zhong The stability of Boussinesq equations with partial dissipation around the hydrostatic balance. (English) Zbl 07844469 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 4, 1466-1486 (2024). MSC: 35Q35 35Q86 76D03 76D50 × Cite Format Result Cite Review PDF Full Text: DOI