Lteif, Ralph; Gerbi, Stéphane A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators. (English) Zbl 07568410 Appl. Math. Comput. 432, Article ID 127373, 30 p. (2022). MSC: 76Bxx 35Qxx 76Mxx PDF BibTeX XML Cite \textit{R. Lteif} and \textit{S. Gerbi}, Appl. Math. Comput. 432, Article ID 127373, 30 p. (2022; Zbl 07568410) Full Text: DOI OpenURL
Nguyen, Thieu Huy; Pham, Truong Xuan; Vu, Thi Ngoc Ha; Le, The Sac Existence and stability of periodic and almost periodic solutions to the Boussinesq system in unbounded domains. (English) Zbl 07567993 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1875-1901 (2022). MSC: 35A01 35B10 35B65 35Q30 35Q35 76D03 76D07 PDF BibTeX XML Cite \textit{T. H. Nguyen} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1875--1901 (2022; Zbl 07567993) Full Text: DOI OpenURL
Liu, Hui; Deng, Haiyun; Lin, Lin; Sun, Chengfeng Well-posedness of the 3D Boussinesq-MHD equations with partial viscosity and damping. (English) Zbl 07562095 J. Math. Anal. Appl. 515, No. 2, Article ID 126437, 10 p. (2022). MSC: 35Qxx 76Dxx 35Axx PDF BibTeX XML Cite \textit{H. Liu} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126437, 10 p. (2022; Zbl 07562095) Full Text: DOI OpenURL
Kozhanov, Aleksandr Ivanovich; Shadrina, Natal’ya Nikolaevna Investigation of the influence of parameters on the correctness of the conjugation problem for the Boussinesq-Löve. (Russian. English summary) Zbl 07556913 Chelyabinskiĭ Fiz.-Mat. Zh. 7, No. 1, 30-42 (2022). MSC: 35L82 35A01 35A02 35B30 35L35 PDF BibTeX XML Cite \textit{A. I. Kozhanov} and \textit{N. N. Shadrina}, Chelyabinskiĭ Fiz.-Mat. Zh. 7, No. 1, 30--42 (2022; Zbl 07556913) Full Text: DOI MNR OpenURL
Zhang, Shengliang A meshless multi-symplectic local radial basis function collocation scheme for the “good” Boussinesq equation. (English) Zbl 07555038 Appl. Math. Comput. 431, Article ID 127297, 11 p. (2022). MSC: 65C20 65C30 65M15 41A05 81S10 PDF BibTeX XML Cite \textit{S. Zhang}, Appl. Math. Comput. 431, Article ID 127297, 11 p. (2022; Zbl 07555038) Full Text: DOI OpenURL
Zamyshlyaeva, Alena Aleksandrovna; Bychkov, Evgeniĭ Viktorovich Semilinear Sobolev type mathematical models. (English) Zbl 07553759 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 43-59 (2022). MSC: 35-02 34G20 35C09 35K70 35Q35 PDF BibTeX XML Cite \textit{A. A. Zamyshlyaeva} and \textit{E. V. Bychkov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 43--59 (2022; Zbl 07553759) Full Text: DOI MNR OpenURL
Rudenko, Yu. K.; Vinnichenko, N. A.; Plaksina, Yu. Yu.; Pushtaev, A. V.; Uvarov, A. V. Horizontal convective flow from a line heat source located at the liquid-gas interface in presence of surface film. (English) Zbl 07552257 J. Fluid Mech. 944, Paper No. A35, 23 p. (2022). MSC: 76R10 76D45 76D05 76M20 76-05 80A19 PDF BibTeX XML Cite \textit{Yu. K. Rudenko} et al., J. Fluid Mech. 944, Paper No. A35, 23 p. (2022; Zbl 07552257) Full Text: DOI OpenURL
Sierra Fonseca, Oscar A.; Pazoto, Ademir F. Lack of exact controllability of a higher-order BBM system. (English) Zbl 07549722 Commun. Math. Sci. 20, No. 5, 1243-1278 (2022). MSC: 35Q53 46B15 93B05 93C20 PDF BibTeX XML Cite \textit{O. A. Sierra Fonseca} and \textit{A. F. Pazoto}, Commun. Math. Sci. 20, No. 5, 1243--1278 (2022; Zbl 07549722) Full Text: DOI OpenURL
Wu, Fan A regularity criterion for the 3D Boussinesq equations. (English) Zbl 07548881 Appl. Anal. 101, No. 8, 3039-3047 (2022). MSC: 35Q35 35B65 76D03 42B25 PDF BibTeX XML Cite \textit{F. Wu}, Appl. Anal. 101, No. 8, 3039--3047 (2022; Zbl 07548881) Full Text: DOI OpenURL
Jin, Xueting; Xiao, Yuelong; Yu, Huan Global well-posedness of the 2D Boussinesq equations with partial dissipation. (English) Zbl 07547407 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1293-1309 (2022). MSC: 35Q35 76D03 PDF BibTeX XML Cite \textit{X. Jin} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1293--1309 (2022; Zbl 07547407) Full Text: DOI OpenURL
Cullen, Joseph D.; Ivanov, Rossen I. Hamiltonian description of internal ocean waves with Coriolis force. (English) Zbl 07545176 Commun. Pure Appl. Anal. 21, No. 7, 2291-2307 (2022). MSC: 35Q35 35Q86 35Q53 76B55 76U60 37K10 PDF BibTeX XML Cite \textit{J. D. Cullen} and \textit{R. I. Ivanov}, Commun. Pure Appl. Anal. 21, No. 7, 2291--2307 (2022; Zbl 07545176) Full Text: DOI OpenURL
Zhang, Yuan; Si, Wen; Si, Jianguo Construction of quasi-periodic solutions for nonlinear forced perturbations of dissipative Boussinesq systems. (English) Zbl 07544605 Nonlinear Anal., Real World Appl. 67, Article ID 103621, 30 p. (2022). MSC: 35Qxx 35Bxx 37Kxx PDF BibTeX XML Cite \textit{Y. Zhang} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103621, 30 p. (2022; Zbl 07544605) Full Text: DOI OpenURL
Ji, Ruihong; Yan, Li; Wu, Jiahong Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance. (English) Zbl 07542665 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 136, 34 p. (2022). MSC: 35Q35 35B35 35B40 76D03 35A01 35A02 PDF BibTeX XML Cite \textit{R. Ji} et al., Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 136, 34 p. (2022; Zbl 07542665) Full Text: DOI OpenURL
Bae, Hantaek; Granero-Belinchón, Rafael Singularity formation for the Serre-Green-Naghdi equations and applications to abcd-Boussinesq systems. (English) Zbl 07541971 Monatsh. Math. 198, No. 3, 503-516 (2022). MSC: 35Qxx 35B44 35Q35 35L67 35L55 35R35 PDF BibTeX XML Cite \textit{H. Bae} and \textit{R. Granero-Belinchón}, Monatsh. Math. 198, No. 3, 503--516 (2022; Zbl 07541971) Full Text: DOI OpenURL
Dinvay, Evgueni Travelling waves in the Boussinesq type systems. (English. French summary) Zbl 07541862 J. Math. Pures Appl. (9) 163, 1-10 (2022). MSC: 35Q35 35Q51 76B25 76B15 PDF BibTeX XML Cite \textit{E. Dinvay}, J. Math. Pures Appl. (9) 163, 1--10 (2022; Zbl 07541862) Full Text: DOI OpenURL
Zhong, Yueyuan Stabilization and exponential decay for 2D Boussinesq equations with partial dissipation. (English) Zbl 07541204 Z. Angew. Math. Phys. 73, No. 3, Paper No. 121, 12 p. (2022). MSC: 35Q35 35Q86 35B40 76D03 86A05 86A10 PDF BibTeX XML Cite \textit{Y. Zhong}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 121, 12 p. (2022; Zbl 07541204) Full Text: DOI OpenURL
Chen, Qionglei; Li, Zhen Regularity criterion for the 3D Boussinesq equations with partial viscous terms in the limiting cases. (English) Zbl 07540976 Appl. Math. Lett. 132, Article ID 108195, 6 p. (2022). MSC: 35B65 35Q35 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{Z. Li}, Appl. Math. Lett. 132, Article ID 108195, 6 p. (2022; Zbl 07540976) Full Text: DOI OpenURL
Bautista, George J.; Potenciano-Machado, Leyter Norm-inflation results for purely BBM-type Boussinesq systems. (English) Zbl 07540672 J. Math. Anal. Appl. 514, No. 1, Article ID 126254, 18 p. (2022). MSC: 35Qxx 76Bxx 35Bxx PDF BibTeX XML Cite \textit{G. J. Bautista} and \textit{L. Potenciano-Machado}, J. Math. Anal. Appl. 514, No. 1, Article ID 126254, 18 p. (2022; Zbl 07540672) Full Text: DOI OpenURL
Li, Liang; Fan, Yanlong; Han, Daozhi; Wang, Quan Dynamical transition and bifurcation of hydromagnetic convection in a rotating fluid layer. (English) Zbl 07540488 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106531, 26 p. (2022). MSC: 35Qxx 35B09 35B32 35B35 35K40 PDF BibTeX XML Cite \textit{L. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106531, 26 p. (2022; Zbl 07540488) Full Text: DOI OpenURL
Jammazi, Chaker; Loucif, Souhila On the global controllability of the \(1\)-D Boussinesq equation. (English) Zbl 07539678 Discrete Contin. Dyn. Syst., Ser. S 15, No. 6, 1499-1523 (2022). MSC: 93B05 93C20 93C10 35Q35 PDF BibTeX XML Cite \textit{C. Jammazi} and \textit{S. Loucif}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 6, 1499--1523 (2022; Zbl 07539678) Full Text: DOI OpenURL
Kim, Junha; Lee, Jihoon Stratified Boussinesq equations with a velocity damping term. (English) Zbl 07539297 Nonlinearity 35, No. 6, 3059-3094 (2022). MSC: 76B70 76B03 PDF BibTeX XML Cite \textit{J. Kim} and \textit{J. Lee}, Nonlinearity 35, No. 6, 3059--3094 (2022; Zbl 07539297) Full Text: DOI OpenURL
Umarov, Kh. G. Blow-up and global solvability of the Cauchy problem for a pseudohyperbolic equation related to the generalized Boussinesq equation. (English. Russian original) Zbl 07538039 Sib. Math. J. 63, No. 3, 559-574 (2022); translation from Sib. Mat. Zh. 63, No. 3, 672-689 (2022). MSC: 35B44 35L30 35L82 PDF BibTeX XML Cite \textit{Kh. G. Umarov}, Sib. Math. J. 63, No. 3, 559--574 (2022; Zbl 07538039); translation from Sib. Mat. Zh. 63, No. 3, 672--689 (2022) Full Text: DOI OpenURL
Hou, Yuanyuan; Yan, Wenjing; Li, Maojun; He, Xiaoming A decoupled and iterative finite element method for generalized Boussinesq equations. (English) Zbl 07537411 Comput. Math. Appl. 115, 14-25 (2022). MSC: 76-XX 80-XX PDF BibTeX XML Cite \textit{Y. Hou} et al., Comput. Math. Appl. 115, 14--25 (2022; Zbl 07537411) Full Text: DOI OpenURL
Álvarez, Mario; Colmenares, Eligio; Sequeira, Filánder A. Analysis of a semi-augmented mixed finite element method for double-diffusive natural convection in porous media. (English) Zbl 07537399 Comput. Math. Appl. 114, 112-131 (2022). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{M. Álvarez} et al., Comput. Math. Appl. 114, 112--131 (2022; Zbl 07537399) Full Text: DOI OpenURL
Wu, Pin-Xia; Yang, Qian; He, Ji-Huan Solitary waves of the variant Boussinesq-Burgers equation in a fractal-dimensional space. (English) Zbl 07537372 Fractals 30, No. 3, Article ID 2250056, 10 p. (2022). MSC: 35Qxx 35Cxx 35Rxx PDF BibTeX XML Cite \textit{P.-X. Wu} et al., Fractals 30, No. 3, Article ID 2250056, 10 p. (2022; Zbl 07537372) Full Text: DOI OpenURL
Gong, Ruizhi; Shi, Yuren; Wang, Deng-Shan Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions. (English) Zbl 07535662 Discrete Contin. Dyn. Syst. 42, No. 7, 3355-3378 (2022). MSC: 35C07 35G55 35Q51 37C75 37K10 PDF BibTeX XML Cite \textit{R. Gong} et al., Discrete Contin. Dyn. Syst. 42, No. 7, 3355--3378 (2022; Zbl 07535662) Full Text: DOI OpenURL
Adhikari, Dhanapati; Ben Said, Oussama; Pandey, Uddhaba Raj; Wu, Jiahong Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion. (English) Zbl 07535518 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 42, 43 p. (2022). MSC: 35Q35 35Q86 76D03 76D50 76R10 86A05 PDF BibTeX XML Cite \textit{D. Adhikari} et al., NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 42, 43 p. (2022; Zbl 07535518) Full Text: DOI OpenURL
Sun, Jiawei; Xie, Shusen; Xing, Yulong Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system. (English) Zbl 07534226 Commun. Appl. Math. Comput. 4, No. 2, 381-416 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{J. Sun} et al., Commun. Appl. Math. Comput. 4, No. 2, 381--416 (2022; Zbl 07534226) Full Text: DOI OpenURL
Frasca-Caccia, Gianluca; Hydon, Peter E. A new technique for preserving conservation laws. (English) Zbl 07533996 Found. Comput. Math. 22, No. 2, 477-506 (2022). MSC: 65M06 65M22 65D32 37K06 39A14 68W30 35C08 35Q35 PDF BibTeX XML Cite \textit{G. Frasca-Caccia} and \textit{P. E. Hydon}, Found. Comput. Math. 22, No. 2, 477--506 (2022; Zbl 07533996) Full Text: DOI OpenURL
Li, Shenghao; Chen, Min; Yang, Xin; Zhang, Bing-Yu Lower regularity solutions of the non-homogeneous boundary-value problem for a higher order Boussinesq equation in a quarter plane. (English) Zbl 07531082 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112893, 29 p. (2022). MSC: 35Q35 35Q53 76B03 76B15 PDF BibTeX XML Cite \textit{S. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112893, 29 p. (2022; Zbl 07531082) Full Text: DOI OpenURL
Baranovskii, E. S. The optimal start control problem for 2D Boussinesq equations. (English. Russian original) Zbl 07530686 Izv. Math. 86, No. 2, 221-242 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 2, 3-24 (2022). MSC: 49J20 35Q35 35Q79 49J40 PDF BibTeX XML Cite \textit{E. S. Baranovskii}, Izv. Math. 86, No. 2, 221--242 (2022; Zbl 07530686); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 2, 3--24 (2022) Full Text: DOI OpenURL
Desale, B. S.; Shendage, S. D. Special solutions to the flow of incompressible fluids coupling with magnetic field. (English) Zbl 07528051 South East Asian J. Math. Math. Sci. 18, No. 1, 295-308 (2022). MSC: 76W05 76B07 76B70 PDF BibTeX XML Cite \textit{B. S. Desale} and \textit{S. D. Shendage}, South East Asian J. Math. Math. Sci. 18, No. 1, 295--308 (2022; Zbl 07528051) Full Text: Link OpenURL
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 07526708 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022). MSC: 35Q55 35Q35 86A05 35C08 37N10 PDF BibTeX XML Cite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022; Zbl 07526708) Full Text: DOI OpenURL
Gopinath, Venkatesh; Fournier, Alexandre; Gastine, Thomas An assessment of implicit-explicit time integrators for the pseudo-spectral approximation of Boussinesq thermal convection in an annulus. (English) Zbl 07525147 J. Comput. Phys. 460, Article ID 110965, 32 p. (2022). MSC: 65Lxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{V. Gopinath} et al., J. Comput. Phys. 460, Article ID 110965, 32 p. (2022; Zbl 07525147) Full Text: DOI OpenURL
Khor, Calvin; Xu, Xiaojing Temperature patches for the subcritical Boussinesq-Navier-Stokes system with no diffusion. (English) Zbl 07517638 J. Funct. Anal. 283, No. 2, Article ID 109501, 26 p. (2022). MSC: 35Q35 76D05 80A19 45E05 35R05 35F25 35A01 35A02 26A33 35R11 PDF BibTeX XML Cite \textit{C. Khor} and \textit{X. Xu}, J. Funct. Anal. 283, No. 2, Article ID 109501, 26 p. (2022; Zbl 07517638) Full Text: DOI OpenURL
Li, Chaofan; Liu, Hui; Xin, Jie Pullback \(\mathcal{D}\)-attractors of the 3D Boussinesq equations with damping. (English) Zbl 1487.35100 Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1343-1366 (2022). MSC: 35B41 35Q35 76B03 PDF BibTeX XML Cite \textit{C. Li} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1343--1366 (2022; Zbl 1487.35100) Full Text: DOI OpenURL
Hu, Hengchun; Li, Xiaodan Nonlocal symmetry and interaction solutions for the new \((3+1)\)-dimensional integrable Boussinesq equation. (English) Zbl 1484.35328 Math. Model. Nat. Phenom. 17, Paper No. 2, 10 p. (2022). MSC: 35Q51 37K40 PDF BibTeX XML Cite \textit{H. Hu} and \textit{X. Li}, Math. Model. Nat. Phenom. 17, Paper No. 2, 10 p. (2022; Zbl 1484.35328) Full Text: DOI OpenURL
Ozawa, Tohru; Tomioka, Kenta Schrödinger-improved Boussinesq system in two space dimensions. (English) Zbl 07511797 J. Evol. Equ. 22, No. 2, Paper No. 35, 16 p. (2022). MSC: 35Q55 35Q41 35Q53 35A35 35B30 35L70 35D35 35A01 35A02 76Q05 PDF BibTeX XML Cite \textit{T. Ozawa} and \textit{K. Tomioka}, J. Evol. Equ. 22, No. 2, Paper No. 35, 16 p. (2022; Zbl 07511797) Full Text: DOI OpenURL
Forbes, Lawrence K.; Turner, Ross J.; Walters, Stephen J. An extended Boussinesq theory for interfacial fluid mechanics. (English) Zbl 07507207 J. Eng. Math. 133, Paper No. 10, 20 p. (2022). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{L. K. Forbes} et al., J. Eng. Math. 133, Paper No. 10, 20 p. (2022; Zbl 07507207) Full Text: DOI OpenURL
Peralta, Gilbert Optimal Borel measure controls for the two-dimensional stationary Boussinesq system. (English) Zbl 1485.49011 ESAIM, Control Optim. Calc. Var. 28, Paper No. 22, 33 p. (2022). MSC: 49J20 49K20 49M15 PDF BibTeX XML Cite \textit{G. Peralta}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 22, 33 p. (2022; Zbl 1485.49011) Full Text: DOI OpenURL
Cen, Julia; Correa, Francisco; Fring, Andreas; Taira, Takanobu Stability in integrable nonlocal nonlinear equations. (English) Zbl 1487.81079 Phys. Lett., A 435, Article ID 128060, 7 p. (2022). MSC: 81Q05 35Q55 81P94 81Q80 81R12 35C08 PDF BibTeX XML Cite \textit{J. Cen} et al., Phys. Lett., A 435, Article ID 128060, 7 p. (2022; Zbl 1487.81079) Full Text: DOI OpenURL
Hsia, Chun-Hsiung; Nishida, Takaaki A route to chaos in Rayleigh-Bénard heat convection. (English) Zbl 07496929 J. Math. Fluid Mech. 24, No. 2, Paper No. 38, 18 p. (2022). MSC: 76R10 76E06 80A19 37N10 PDF BibTeX XML Cite \textit{C.-H. Hsia} and \textit{T. Nishida}, J. Math. Fluid Mech. 24, No. 2, Paper No. 38, 18 p. (2022; Zbl 07496929) Full Text: DOI OpenURL
Peralta, Gilbert Weak and very weak solutions to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains. (English) Zbl 07490274 J. Evol. Equ. 22, No. 1, Paper No. 12, 71 p. (2022). MSC: 35Q35 35K58 76D03 76T06 35D30 35B65 PDF BibTeX XML Cite \textit{G. Peralta}, J. Evol. Equ. 22, No. 1, Paper No. 12, 71 p. (2022; Zbl 07490274) Full Text: DOI OpenURL
Du, Lihuai; Zhang, Ting The global existence and averaging theorem for the strong solution of the stochastic Boussinesq equations with the low Froude number. (English) Zbl 07488941 J. Math. Fluid Mech. 24, No. 2, Paper No. 32, 20 p. (2022). MSC: 35Q35 76D03 60H15 35D35 76D50 35R60 PDF BibTeX XML Cite \textit{L. Du} and \textit{T. Zhang}, J. Math. Fluid Mech. 24, No. 2, Paper No. 32, 20 p. (2022; Zbl 07488941) Full Text: DOI OpenURL
Dong, Lihua On asymptotic stability of the 3D Boussinesq equations with a velocity damping term. (English) Zbl 07488932 J. Math. Fluid Mech. 24, No. 1, Paper No. 23, 25 p. (2022). MSC: 35Q35 35Q86 76B03 86A05 35B35 35B40 35B35 PDF BibTeX XML Cite \textit{L. Dong}, J. Math. Fluid Mech. 24, No. 1, Paper No. 23, 25 p. (2022; Zbl 07488932) Full Text: DOI arXiv OpenURL
Khorbatly, Bashar; Lteif, Ralph; Israwi, Samer; Gerbi, Stéphane Mathematical modeling and numerical analysis for the higher order Boussinesq system. (English) Zbl 07488344 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 593-615 (2022). MSC: 35Q35 35L45 35L60 76B25 76B45 76B55 35C07 35B40 35A01 35A02 65L99 PDF BibTeX XML Cite \textit{B. Khorbatly} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 2, 593--615 (2022; Zbl 07488344) Full Text: DOI arXiv OpenURL
He, Jinfang; Ma, Shan; Sun, Chunyou Well-posedness and attractors for a 2D Boussinesq system with partial dissipation. (English) Zbl 07486731 J. Differ. Equations 319, 1-40 (2022). MSC: 35Qxx 35B41 76D03 35Q35 PDF BibTeX XML Cite \textit{J. He} et al., J. Differ. Equations 319, 1--40 (2022; Zbl 07486731) Full Text: DOI OpenURL
Sun, Ying-ying; Sun, Wan-yi An update of a Bäcklund transformation and its applications to the Boussinesq system. (English) Zbl 07484264 Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022). MSC: 37Kxx 35Qxx 39Axx PDF BibTeX XML Cite \textit{Y.-y. Sun} and \textit{W.-y. Sun}, Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022; Zbl 07484264) Full Text: DOI OpenURL
Wang, Weinan On the analyticity and Gevrey regularity of solutions to the three-dimensional inviscid Boussinesq equations in a half space. (English) Zbl 1484.35104 Commun. Math. Sci. 20, No. 2, 479-493 (2022). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 35B65 35C10 35Q35 76B03 PDF BibTeX XML Cite \textit{W. Wang}, Commun. Math. Sci. 20, No. 2, 479--493 (2022; Zbl 1484.35104) Full Text: DOI OpenURL
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory. (English) Zbl 07472947 J. Inverse Ill-Posed Probl. 30, No. 1, 35-79 (2022). MSC: 35Qxx 35K05 35Q30 35R30 93C20 PDF BibTeX XML Cite \textit{I. Lasiecka} et al., J. Inverse Ill-Posed Probl. 30, No. 1, 35--79 (2022; Zbl 07472947) Full Text: DOI arXiv OpenURL
Dehghan, Mehdi; Gharibi, Zeinab An analysis of weak Galerkin finite element method for a steady state Boussinesq problem. (English) Zbl 1482.35168 J. Comput. Appl. Math. 406, Article ID 114029, 29 p. (2022). MSC: 35Q35 35B45 35B35 35A01 35A02 76D05 76M10 80A19 65N30 65N15 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{Z. Gharibi}, J. Comput. Appl. Math. 406, Article ID 114029, 29 p. (2022; Zbl 1482.35168) Full Text: DOI OpenURL
Ma, Liangliang Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations. (English) Zbl 1481.35341 Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 863-882 (2022). MSC: 35Q35 35Q86 76D03 76D50 76R10 86A05 35B35 35B40 35B20 26A33 35R11 PDF BibTeX XML Cite \textit{L. Ma}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 863--882 (2022; Zbl 1481.35341) Full Text: DOI OpenURL
Gebhard, Björn; Kolumbán, József J. Relaxation of the Boussinesq system and applications to the Rayleigh-Taylor instability. (English) Zbl 07455871 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 1, Paper No. 7, 38 p. (2022). MSC: 35Qxx 35D30 35Q35 76B03 76F25 PDF BibTeX XML Cite \textit{B. Gebhard} and \textit{J. J. Kolumbán}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 1, Paper No. 7, 38 p. (2022; Zbl 07455871) Full Text: DOI arXiv OpenURL
Mu, Pengcheng; Schochet, Steve Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit. (English. French summary) Zbl 1481.35342 J. Math. Pures Appl. (9) 158, 90-119 (2022). MSC: 35Q35 76D50 76U05 76U65 76M45 35B40 35A01 PDF BibTeX XML Cite \textit{P. Mu} and \textit{S. Schochet}, J. Math. Pures Appl. (9) 158, 90--119 (2022; Zbl 1481.35342) Full Text: DOI OpenURL
Huang, Jianhua; Zheng, Yan; Shen, Tianlong; Guo, Chunxiao Asymptotic properties of the 2D stochastic fractional Boussinesq equations driven by degenerate noise. (English) Zbl 1479.60130 J. Differ. Equations 310, 362-403 (2022). MSC: 60H15 37A25 35Q35 35R11 PDF BibTeX XML Cite \textit{J. Huang} et al., J. Differ. Equations 310, 362--403 (2022; Zbl 1479.60130) Full Text: DOI OpenURL
He, Zihui; Liao, Xian On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces. (English) Zbl 1479.35614 Z. Angew. Math. Phys. 73, No. 1, Paper No. 16, 25 p. (2022). MSC: 35Q30 76D03 76D05 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{Z. He} and \textit{X. Liao}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 16, 25 p. (2022; Zbl 1479.35614) Full Text: DOI arXiv OpenURL
Ma, Yu-Lan; Li, Bang-Qing Bifurcation solitons and breathers for the nonlocal Boussinesq equations. (English) Zbl 1479.35212 Appl. Math. Lett. 124, Article ID 107677, 10 p. (2022). MSC: 35C08 35B32 35Q35 PDF BibTeX XML Cite \textit{Y.-L. Ma} and \textit{B.-Q. Li}, Appl. Math. Lett. 124, Article ID 107677, 10 p. (2022; Zbl 1479.35212) Full Text: DOI OpenURL
Chen, Dongxiang; Li, Xiaoli Stability of stationary solutions to 2D Boussinesq equations with partial dissipation on a flat strip. (English) Zbl 1479.35653 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 215, Article ID 112639, 17 p. (2022). MSC: 35Q35 76D03 76D50 35B35 35B20 35A01 PDF BibTeX XML Cite \textit{D. Chen} and \textit{X. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 215, Article ID 112639, 17 p. (2022; Zbl 1479.35653) Full Text: DOI OpenURL
Shao, Ruijie; Zhang, Ping On the instability of the possible blow-up solutions to 2D Boussinesq system. (English) Zbl 1477.35136 J. Differ. Equations 306, 547-568 (2022). MSC: 35Q30 35B30 35B44 76D03 PDF BibTeX XML Cite \textit{R. Shao} and \textit{P. Zhang}, J. Differ. Equations 306, 547--568 (2022; Zbl 1477.35136) Full Text: DOI OpenURL
Arnesen, Mathias Nikolai Decay and symmetry of solitary waves. (English) Zbl 1477.35154 J. Math. Anal. Appl. 507, No. 1, Article ID 125450, 24 p. (2022). MSC: 35Q35 35C08 35B06 76B15 PDF BibTeX XML Cite \textit{M. N. Arnesen}, J. Math. Anal. Appl. 507, No. 1, Article ID 125450, 24 p. (2022; Zbl 1477.35154) Full Text: DOI arXiv OpenURL
Dmitriev, Viktor Borisovich Boundary value problem with a nonlocal boundary condition of integral form for a multidimensional equation of IV order. (Russian. English summary) Zbl 07557332 Vestn. Samar. Univ., Estestvennonauchn. Ser. 27, No. 1, 15-28 (2021). MSC: 35L35 35A01 35A02 35B45 35L82 PDF BibTeX XML Cite \textit{V. B. Dmitriev}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 27, No. 1, 15--28 (2021; Zbl 07557332) Full Text: DOI MNR OpenURL
Opadiran, S. I.; Okoya, S. S. Combined effect of fluid’s viscous dissipation, variable viscosity and thermal conductivity on the free convective heat transfer past a circular cylinder. (English) Zbl 07556646 J. Niger. Math. Soc. 40, No. 3, 321-337 (2021). MSC: 76R10 76D05 76M45 76M99 80A19 PDF BibTeX XML Cite \textit{S. I. Opadiran} and \textit{S. S. Okoya}, J. Niger. Math. Soc. 40, No. 3, 321--337 (2021; Zbl 07556646) Full Text: Link OpenURL
Lu, Junfeng; Sun, Yi Numerical approaches to time fractional Boussinesq-Burgers equations. (English) Zbl 07542105 Fractals 29, No. 8, Article ID 2150244, 10 p. (2021). MSC: 35Qxx 35Rxx 34Axx PDF BibTeX XML Cite \textit{J. Lu} and \textit{Y. Sun}, Fractals 29, No. 8, Article ID 2150244, 10 p. (2021; Zbl 07542105) Full Text: DOI OpenURL
Ismael, Hajar F.; Bulut, Hasan; Baskonus, Haci Mehmet; Gao, Wei Dynamical behaviors to the coupled Schrödinger-Boussinesq system with the beta derivative. (English) Zbl 1484.35327 AIMS Math. 6, No. 7, 7909-7928 (2021). MSC: 35Q41 35Q60 26A24 PDF BibTeX XML Cite \textit{H. F. Ismael} et al., AIMS Math. 6, No. 7, 7909--7928 (2021; Zbl 1484.35327) Full Text: DOI OpenURL
Burmasheva, N. V.; Prosviryakov, E. Yu. Exact solution for Couette-type steady convective concentration flows. (English. Russian original) Zbl 07513576 J. Appl. Mech. Tech. Phys. 62, No. 7, 1199-1210 (2021); translation from Vychisl. Mekh. Splosh. Sred 13, No. 1, 337-349 (2020). MSC: 76D50 76R50 76D05 PDF BibTeX XML Cite \textit{N. V. Burmasheva} and \textit{E. Yu. Prosviryakov}, J. Appl. Mech. Tech. Phys. 62, No. 7, 1199--1210 (2021; Zbl 07513576); translation from Vychisl. Mekh. Splosh. Sred 13, No. 1, 337--349 (2020) Full Text: DOI OpenURL
Heydari, M. H.; Razzaghi, M.; Avazzadeh, Z. Orthonormal shifted discrete Chebyshev polynomials: application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system. (English) Zbl 07512467 Chaos Solitons Fractals 143, Article ID 110570, 15 p. (2021). MSC: 65-XX 41-XX PDF BibTeX XML Cite \textit{M. H. Heydari} et al., Chaos Solitons Fractals 143, Article ID 110570, 15 p. (2021; Zbl 07512467) Full Text: DOI OpenURL
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Heitzinger, Clemens; Wick, Thomas A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations. (English) Zbl 07510038 J. Comput. Phys. 426, Article ID 109875, 27 p. (2021). MSC: 80-XX 65-XX PDF BibTeX XML Cite \textit{M. Abbaszadeh} et al., J. Comput. Phys. 426, Article ID 109875, 27 p. (2021; Zbl 07510038) Full Text: DOI OpenURL
Li, Yuanfei; Zhang, Shuanghu; Lin, Changhao Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain. (English) Zbl 1487.35043 Bound. Value Probl. 2021, Paper No. 27, 19 p. (2021). MSC: 35B30 35B45 35Q35 76D05 PDF BibTeX XML Cite \textit{Y. Li} et al., Bound. Value Probl. 2021, Paper No. 27, 19 p. (2021; Zbl 1487.35043) Full Text: DOI OpenURL
Peralta, Gilbert Distributed optimal control of the 2D Cahn-Hilliard-Oberbeck-Boussinesq system for nonisothermal viscous two-phase flows. (English) Zbl 07498405 Appl. Math. Optim. 84, Suppl. 2, 1219-1279 (2021). MSC: 35Qxx 35B65 35Q93 49K20 76D55 PDF BibTeX XML Cite \textit{G. Peralta}, Appl. Math. Optim. 84, 1219--1279 (2021; Zbl 07498405) Full Text: DOI OpenURL
Shakhmurov, Veli; Shahmurov, Rishad The regularity properties and blow-up of the solutions for improved Boussinesq equations. (English) Zbl 07493413 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 89, 21 p. (2021). MSC: 35A01 35B44 PDF BibTeX XML Cite \textit{V. Shakhmurov} and \textit{R. Shahmurov}, Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 89, 21 p. (2021; Zbl 07493413) Full Text: DOI OpenURL
Arafa, Anas A. M. Analytical solutions for nonlinear fractional physical problems via natural homotopy perturbation method. (English) Zbl 07489958 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 179, 16 p. (2021). MSC: 35Qxx 26A33 35Dxx 81Q05 PDF BibTeX XML Cite \textit{A. A. M. Arafa}, Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 179, 16 p. (2021; Zbl 07489958) Full Text: DOI OpenURL
Dougalis, Vassilios A.; Durán, Angel; Saridaki, Leetha On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves. (English) Zbl 07479402 Physica D 428, Article ID 133051, 23 p. (2021). MSC: 35Qxx 37-XX PDF BibTeX XML Cite \textit{V. A. Dougalis} et al., Physica D 428, Article ID 133051, 23 p. (2021; Zbl 07479402) Full Text: DOI arXiv OpenURL
Kamimura, Yutaka Nonconservative reflectionless inverse scattering and soliton solutions of an associated nonlinear evolution system. (English) Zbl 1482.35214 J. Math. Sci., Tokyo 28, No. 4, 651-712 (2021). MSC: 35Q55 35Q35 35Q53 35C08 37K10 37K40 81U40 35R30 PDF BibTeX XML Cite \textit{Y. Kamimura}, J. Math. Sci., Tokyo 28, No. 4, 651--712 (2021; Zbl 1482.35214) Full Text: Link OpenURL
Slimani, Ali; Bouzettouta, Lamine; Guesmia, Amar Existence and uniqueness of the weak solution for Keller-Segel model coupled with Boussinesq equations. (English) Zbl 1483.92034 Demonstr. Math. 54, 558-575 (2021). MSC: 92C17 35K58 35K57 PDF BibTeX XML Cite \textit{A. Slimani} et al., Demonstr. Math. 54, 558--575 (2021; Zbl 1483.92034) Full Text: DOI OpenURL
He, Ji-Huan; Hou, Wei-Fan; He, Chun-Hui; Saeed, Tareq; Hayat, Tasawar Variational approach to fractal solitary waves. (English) Zbl 1482.35249 Fractals 29, No. 7, Article ID 2150199, 5 p. (2021). MSC: 35R11 35C07 35C08 35Q35 PDF BibTeX XML Cite \textit{J.-H. He} et al., Fractals 29, No. 7, Article ID 2150199, 5 p. (2021; Zbl 1482.35249) Full Text: DOI OpenURL
Wang, Kang-Jia; Wang, Guo-Dong; Zhu, Hong-Wei A new perspective on the study of the fractal coupled Boussinesq-Burger equation in shallow water. (English) Zbl 07465643 Fractals 29, No. 5, Article ID 2150122, 13 p. (2021). MSC: 35Qxx 35-XX 76-XX PDF BibTeX XML Cite \textit{K.-J. Wang} et al., Fractals 29, No. 5, Article ID 2150122, 13 p. (2021; Zbl 07465643) Full Text: DOI OpenURL
Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying Acceleration of nonlinear solvers for natural convection problems. (English) Zbl 07461998 J. Numer. Math. 29, No. 4, 323-341 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M22 65N30 65B05 65K10 65H10 76D05 76R10 PDF BibTeX XML Cite \textit{S. Pollock} et al., J. Numer. Math. 29, No. 4, 323--341 (2021; Zbl 07461998) Full Text: DOI arXiv OpenURL
Xavier, Juliana C.; Rincon, Mauro A.; Alfaro Vigo, Daniel G. Error estimates for a fully discrete spectral scheme for nonlinear Boussinesq systems. (English) Zbl 07459673 Numer. Math. 149, No. 3, 679-716 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65L06 65N35 65M12 65M15 76B15 35Q35 35C08 PDF BibTeX XML Cite \textit{J. C. Xavier} et al., Numer. Math. 149, No. 3, 679--716 (2021; Zbl 07459673) Full Text: DOI OpenURL
Wang, Hongwei; Esfahani, Amin The limit behavior of solutions for the Cauchy problem of the sixth-order Boussinesq equation. (English) Zbl 1478.35103 Acta Appl. Math. 176, Paper No. 13, 19 p. (2021). MSC: 35G25 35B30 35Q53 PDF BibTeX XML Cite \textit{H. Wang} and \textit{A. Esfahani}, Acta Appl. Math. 176, Paper No. 13, 19 p. (2021; Zbl 1478.35103) Full Text: DOI OpenURL
Pei, Yuan Regularity and convergence results of the velocity-vorticity-Voigt model of the 3D Boussinesq equations. (English) Zbl 1477.35092 Acta Appl. Math. 176, Paper No. 8, 25 p. (2021). MSC: 35K40 35K61 35Q30 35B40 35B65 76D03 76D05 PDF BibTeX XML Cite \textit{Y. Pei}, Acta Appl. Math. 176, Paper No. 8, 25 p. (2021; Zbl 1477.35092) Full Text: DOI OpenURL
Yu, Yanghai; Yang, Xiaolei Non-uniform dependence on initial data for the 2D MHD-Boussinesq equations. (English) Zbl 1487.35307 J. Math. Phys. 62, No. 12, 121504, 8 p. (2021). MSC: 35Q30 76W05 PDF BibTeX XML Cite \textit{Y. Yu} and \textit{X. Yang}, J. Math. Phys. 62, No. 12, 121504, 8 p. (2021; Zbl 1487.35307) Full Text: DOI OpenURL
Dai, Xiaoqiang; Chen, Shaohua Global well-posedness for the Cauchy problem of generalized Boussinesq equations in the control problem regarding initial data. (English) Zbl 1476.35232 Discrete Contin. Dyn. Syst., Ser. S 14, No. 12, 4201-4211 (2021). MSC: 35Q55 PDF BibTeX XML Cite \textit{X. Dai} and \textit{S. Chen}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 12, 4201--4211 (2021; Zbl 1476.35232) Full Text: DOI OpenURL
Prüss, Jan; Simonett, Gieri; Wilke, Mathias On the Navier-Stokes equations on surfaces. (English) Zbl 1486.35348 J. Evol. Equ. 21, No. 3, 3153-3179 (2021). Reviewer: Weinan Wang (Tucson) MSC: 35Q35 35Q30 35B40 76D05 35B65 35A01 35A02 15A69 PDF BibTeX XML Cite \textit{J. Prüss} et al., J. Evol. Equ. 21, No. 3, 3153--3179 (2021; Zbl 1486.35348) Full Text: DOI arXiv OpenURL
Aurazo-Alvarez, Leithold L.; Ferreira, Lucas C. F. Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. (English) Zbl 1484.76083 SN Partial Differ. Equ. Appl. 2, No. 5, Paper No. 62, 18 p. (2021). Reviewer: Emmanuel Grenier (Lyon) MSC: 76U05 76U60 76D03 76D50 35Q30 PDF BibTeX XML Cite \textit{L. L. Aurazo-Alvarez} and \textit{L. C. F. Ferreira}, SN Partial Differ. Equ. Appl. 2, No. 5, Paper No. 62, 18 p. (2021; Zbl 1484.76083) Full Text: DOI arXiv OpenURL
Wang, Yue; Zhang, Jianbing The Matveev and mixed solutions of the Boussinesq-Burgers equation. (Chinese. English summary) Zbl 07448416 J. Jiangsu Norm. Univ., Nat. Sci. 39, No. 2, 40-44 (2021). MSC: 35Q51 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{J. Zhang}, J. Jiangsu Norm. Univ., Nat. Sci. 39, No. 2, 40--44 (2021; Zbl 07448416) Full Text: DOI OpenURL
Chen, Zhihao; Deng, Dawen Autonomous solutions of two dimension incompressible ideal fluid equations in angular symmetric domains. (Chinese. English summary) Zbl 07448409 J. Hubei Univ., Nat. Sci. 43, No. 4, 403-412 (2021). MSC: 35Q31 35Q35 76B03 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{D. Deng}, J. Hubei Univ., Nat. Sci. 43, No. 4, 403--412 (2021; Zbl 07448409) Full Text: DOI OpenURL
Li, Qiqi; Zhou, Shouming; Duan, Jun Study on some problems of solutions for a classical Boussinesq system. (Chinese. English summary) Zbl 07448330 J. Chongqing Norm. Univ., Nat. Sci. 38, No. 3, 68-77 (2021). MSC: 35Q53 35B44 35D30 PDF BibTeX XML Cite \textit{Q. Li} et al., J. Chongqing Norm. Univ., Nat. Sci. 38, No. 3, 68--77 (2021; Zbl 07448330) Full Text: DOI OpenURL
Manafian, Jalil Multiple rogue wave solutions and the linear superposition principle for a \((3 + 1)\)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation arising in energy distributions. (English) Zbl 07441945 Math. Methods Appl. Sci. 44, No. 18, 14079-14093 (2021). Reviewer: Andrew Pickering (Madrid) MSC: 35Q35 35Q53 PDF BibTeX XML Cite \textit{J. Manafian}, Math. Methods Appl. Sci. 44, No. 18, 14079--14093 (2021; Zbl 07441945) Full Text: DOI OpenURL
Richard, Gaël L. An extension of the Boussinesq-type models to weakly compressible flows. (English) Zbl 07437264 Eur. J. Mech., B, Fluids 89, 217-240 (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{G. L. Richard}, Eur. J. Mech., B, Fluids 89, 217--240 (2021; Zbl 07437264) Full Text: DOI OpenURL
Heinrich, P.; Jamelot, A.; Cauquis, A.; Gailler, A. Taitoko, an advanced code for tsunami propagation, developed at the French Tsunami Warning Centers. (English) Zbl 07436714 Eur. J. Mech., B, Fluids 88, 72-88 (2021). MSC: 76M20 76M12 76B15 86A05 PDF BibTeX XML Cite \textit{P. Heinrich} et al., Eur. J. Mech., B, Fluids 88, 72--88 (2021; Zbl 07436714) Full Text: DOI OpenURL
Saut, Jean-Claude; Xu, Li Long time existence for a two-dimensional strongly dispersive Boussinesq system. (English) Zbl 07433751 Commun. Partial Differ. Equations 46, No. 11, 2057-2087 (2021). MSC: 35Q35 35Q53 35A01 35A02 76B15 PDF BibTeX XML Cite \textit{J.-C. Saut} and \textit{L. Xu}, Commun. Partial Differ. Equations 46, No. 11, 2057--2087 (2021; Zbl 07433751) Full Text: DOI arXiv OpenURL
Luo, Dejun Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system. (English) Zbl 1477.60099 Nonlinearity 34, No. 12, 8311-8330 (2021). MSC: 60H15 35Q35 35D30 PDF BibTeX XML Cite \textit{D. Luo}, Nonlinearity 34, No. 12, 8311--8330 (2021; Zbl 1477.60099) Full Text: DOI arXiv OpenURL
Su, Chunmei; Muslu, Gulcin M. An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation. (English) Zbl 1477.35228 BIT 61, No. 4, 1397-1419 (2021). MSC: 35Q53 65M70 65M06 65N35 65M15 PDF BibTeX XML Cite \textit{C. Su} and \textit{G. M. Muslu}, BIT 61, No. 4, 1397--1419 (2021; Zbl 1477.35228) Full Text: DOI OpenURL
Ghani, Mohammad Local well-posedness of Boussinesq equations for MHD convection with fractional thermal diffusion in Sobolev space \(H^s (\mathbb{R}^n) \times H^{s+1-\epsilon} (\mathbb{R}^n) \times H^{s + \alpha - \epsilon} (\mathbb{R}^n)\). (English) Zbl 1474.35529 Nonlinear Anal., Real World Appl. 62, Article ID 103355, 14 p. (2021). MSC: 35Q35 76W05 76D03 35B65 35Q30 PDF BibTeX XML Cite \textit{M. Ghani}, Nonlinear Anal., Real World Appl. 62, Article ID 103355, 14 p. (2021; Zbl 1474.35529) Full Text: DOI OpenURL
Li, Qinjun; Soybaş, Danyal; Ilhan, Onur Alp; Singh, Gurpreet; Manafian, Jalil Pure traveling wave solutions for three nonlinear fractional models. (English) Zbl 1478.35076 Adv. Math. Phys. 2021, Article ID 6680874, 18 p. (2021). MSC: 35C07 35G25 35Q35 35R11 PDF BibTeX XML Cite \textit{Q. Li} et al., Adv. Math. Phys. 2021, Article ID 6680874, 18 p. (2021; Zbl 1478.35076) Full Text: DOI OpenURL
Liu, Yan; Qin, Xulong; Shi, Jincheng; Zhi, Wenjing Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in \(R^2\). (English) Zbl 07426871 Appl. Math. Comput. 411, Article ID 126488, 10 p. (2021). MSC: 35B40 35Q30 76D05 PDF BibTeX XML Cite \textit{Y. Liu} et al., Appl. Math. Comput. 411, Article ID 126488, 10 p. (2021; Zbl 07426871) Full Text: DOI OpenURL
Samaras, Achilleas G.; Karambas, Theophanis V. Numerical simulation of ship-borne waves using a 2DH post-Boussinesq model. (English) Zbl 1481.76052 Appl. Math. Modelling 89, Part 2, 1547-1556 (2021). MSC: 76B20 PDF BibTeX XML Cite \textit{A. G. Samaras} and \textit{T. V. Karambas}, Appl. Math. Modelling 89, Part 2, 1547--1556 (2021; Zbl 1481.76052) Full Text: DOI OpenURL
Coclite, G. M.; Maddalena, F.; Puglisi, G.; Romano, M.; Saccomandi, G. The Gardner equation in elastodynamics. (English) Zbl 1478.35141 SIAM J. Appl. Math. 81, No. 6, 2346-2361 (2021). MSC: 35L53 35L72 35C08 35Q53 74J35 74B20 PDF BibTeX XML Cite \textit{G. M. Coclite} et al., SIAM J. Appl. Math. 81, No. 6, 2346--2361 (2021; Zbl 1478.35141) Full Text: DOI OpenURL
Zhang, Jiaqi; Zhang, Ruigang; Yang, Liangui; Liu, Quansheng; Chen, Liguo Coherent structures of nonlinear barotropic-baroclinic interaction in unequal depth two-layer model. (English) Zbl 07424222 Appl. Math. Comput. 408, Article ID 126347, 14 p. (2021). MSC: 76-XX 86Axx PDF BibTeX XML Cite \textit{J. Zhang} et al., Appl. Math. Comput. 408, Article ID 126347, 14 p. (2021; Zbl 07424222) Full Text: DOI OpenURL
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. The stationary Boussinesq problem under singular forcing. (English) Zbl 1473.35432 Math. Models Methods Appl. Sci. 31, No. 4, 789-827 (2021). MSC: 35Q35 35Q30 35R06 76Dxx 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{A. Allendes} et al., Math. Models Methods Appl. Sci. 31, No. 4, 789--827 (2021; Zbl 1473.35432) Full Text: DOI arXiv OpenURL