Analysis of PDEs

[1] Instantaneous unboundedness of the entropy and uniform positivity of the temperature for the compressible Navier-Stokes equations with fast decay density

Jinkai Li South China Normal University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:2301.03001

2023.1
[ Download ] [ 2023-01-02 20:51:58 uploaded by jklimath ] [ 46 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[2] On classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum

Xiangdi Huang Academy of Mathematics and Systems Science

Analysis of PDEs mathscidoc:2212.03001

Siam.JMA, 54, (3), 3192-3214, 2022.6
[ Download ] [ 2022-12-02 10:39:42 uploaded by Evan ] [ 74 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] Cutoff Boltzmann equation with polynomial perturbation near Maxwellian

Chuqi Cao Yau Mathematical Science Center, Tsinghua University

Analysis of PDEs mathscidoc:2211.03002

Journal of Functional Analysis, 2022.11
[ Download ] [ 2022-11-08 22:26:11 uploaded by chuqicao ] [ 76 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] Weyl-type asymptotic formula for Schr\"odinger operators on unbounded fractal spaces

Wei Tang Zhiyong Wang

Analysis of PDEs mathscidoc:2211.03001

2022.2
[ Download ] [ 2022-11-05 21:50:14 uploaded by WeiTang ] [ 86 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[5] The existence of the solution of the wave equation on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03011

arXiv, 2021.8
[ Download ] [ 2022-07-07 16:12:26 uploaded by yonglin ] [ 117 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[6] Semilinear heat equations and parabolic variational inequalities on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03010

arXiv, 2021.8
[ Download ] [ 2022-07-07 16:08:02 uploaded by yonglin ] [ 111 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] Calculus of variations on locally finite graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs Combinatorics mathscidoc:2207.03009

Revista Matemática Complutense, 2021.9
[ Download ] [ 2022-07-07 15:52:27 uploaded by yonglin ] [ 130 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8] A heat flow for the mean field equation on a finite graph

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Analysis of PDEs Combinatorics mathscidoc:2207.03008

Calculus of Variations and Partial Differential Equations, 60, (206), 2021.8
[ Download ] [ 2022-07-07 15:45:39 uploaded by yonglin ] [ 122 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[9] Existence of Solutions to Mean Field Equations on Graphs

An Huang Department of Mathematics, Brandies University, Waltham, MA, USA Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, China Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, USA

Analysis of PDEs mathscidoc:2207.03007

Communications in Mathematical Physics, 377, 613–621, 2020.2
[ Download ] [ 2022-07-07 15:39:51 uploaded by yonglin ] [ 83 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] Blow-up problems for nonlinear parabolic equations on locally finite graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs mathscidoc:2207.03006

Acta Mathematica Scientia, 38, (3), 843-856, 2018.5
[ Download ] [ 2022-07-07 15:26:40 uploaded by yonglin ] [ 43 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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