Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.09.018 ◽

2018 ◽

Vol 330 ◽

pp. 356-379 ◽

Author(s):

Lunji Song ◽

Shan Zhao

Keyword(s):

Interface Problems ◽

Two Dimensional ◽

Interior Penalty ◽

Low Regularity ◽

Low Regularity Solutions

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On the low regularity solutions and wave breaking for an equation modeling shallow water waves of moderate amplitude

Nonlinear Analysis ◽

10.1016/j.na.2014.04.021 ◽

2014 ◽

Vol 107 ◽

pp. 1-11 ◽

Author(s):

Xingxing Liu ◽

Jingjing Liu

Keyword(s):

Shallow Water ◽

Water Waves ◽

Wave Breaking ◽

Equation Modeling ◽

Shallow Water Waves ◽

Low Regularity ◽

Low Regularity Solutions

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Low regularity solutions of the Chern–Simons–Higgs equations

Nonlinearity ◽

10.1088/0951-7715/18/6/009 ◽

2005 ◽

Vol 18 (6) ◽

pp. 2581-2589 ◽

Author(s):

Hyungjin Huh

Keyword(s):

Low Regularity ◽

Low Regularity Solutions ◽

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A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2017-0097 ◽

2018 ◽

Vol 10 (3) ◽

pp. 752-766

Author(s):

Liqun Wang

Keyword(s):

Interface Problems ◽

Two Dimensional ◽

Jump Conditions ◽

Nonlinear Elliptic

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Global existence of low regularity solutions of non-linear wave equations

Mathematische Zeitschrift ◽

10.1007/bf02572346 ◽

1995 ◽

Vol 219 (1) ◽

pp. 1-19 ◽

Author(s):

Vladimir Georgiev ◽

Pedro Paulo Schirmer

Keyword(s):

Global Existence ◽

Wave Equations ◽

Linear Wave ◽

Low Regularity ◽

Low Regularity Solutions ◽

Linear Wave Equations

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A relaxed weak Galerkin method for elliptic interface problems with low regularity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.01.021 ◽

2018 ◽

Vol 128 ◽

pp. 65-80 ◽

Author(s):

Lunji Song ◽

Shan Zhao ◽

Kaifang Liu

Keyword(s):

Galerkin Method ◽

Interface Problems ◽

Weak Galerkin ◽

Elliptic Interface Problems ◽

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Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity: Mixed Finite Element Approximations

Journal of Scientific Computing ◽

10.1007/s10915-020-01284-z ◽

2020 ◽

Vol 84 (2) ◽

Author(s):

Shun Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Priori ◽

Interface Problems ◽

A Priori Error Estimates ◽

Low Regularity ◽

Finite Element Approximations ◽

Priori Error Estimates

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Low-regularity solutions of the periodic Fornberg–Whitham equation

Journal of Mathematical Physics ◽

10.1063/1.3158852 ◽

2009 ◽

Vol 50 (7) ◽

pp. 073507 ◽

Author(s):

Lixin Tian ◽

Yuexia Chen ◽

Xiuping Jiang ◽

Limeng Xia

Keyword(s):

Low Regularity ◽

Low Regularity Solutions ◽

Whitham Equation

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Existence and uniqueness of low regularity solutions for a class of nonlinear dispersive equations

10.1063/1.2205041 ◽

2006 ◽

Author(s):

Octavian G. Mustafa

Keyword(s):

Existence And Uniqueness ◽

Dispersive Equations ◽

Low Regularity ◽

Nonlinear Dispersive Equations ◽

Low Regularity Solutions

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Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet

Comptes Rendus. Mathématique ◽

10.5802/crmath.38 ◽

2020 ◽

Vol 358 (6) ◽

pp. 633-639

Author(s):

Zdzisław Brzeźniak ◽

Nimit Rana

Keyword(s):

Wave Equation ◽

Brownian Sheet ◽

Fractional Brownian Sheet ◽

Low Regularity ◽

Low Regularity Solutions

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Smoothness of the flow map for low-regularity solutions of the Camassa-Holm equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2013.33.2791 ◽

2013 ◽

Vol 33 (7) ◽

pp. 2791-2808 ◽

Author(s):

Olivier Glass ◽

◽

Franck Sueur ◽

Keyword(s):

Low Regularity ◽

Low Regularity Solutions ◽

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