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On the $L^2$-moment closure of transport equations: The Cattaneo approximation
Hölder continuous solutions of an obstacle thermistor problem
1. | Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton AB, Canada T6G 2G1, Canada |
2. | Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1 |
3. | Department of Mathematical Sciences, University of Alberta, Edmonton A B, Canada T6G 2G1 |
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Walter Allegretto, Yanping Lin, Shuqing Ma. Existence and long time behaviour of solutions to obstacle thermistor equations. Discrete and Continuous Dynamical Systems, 2002, 8 (3) : 757-780. doi: 10.3934/dcds.2002.8.757 |
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Tianyang Nie, Marek Rutkowski. Existence, uniqueness and strict comparison theorems for BSDEs driven by RCLL martingales. Probability, Uncertainty and Quantitative Risk, 2021, 6 (4) : 319-342. doi: 10.3934/puqr.2021016 |
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María Teresa González Montesinos, Francisco Ortegón Gallego. The evolution thermistor problem with degenerate thermal conductivity. Communications on Pure and Applied Analysis, 2002, 1 (3) : 313-325. doi: 10.3934/cpaa.2002.1.313 |
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María Teresa González Montesinos, Francisco Ortegón Gallego. The thermistor problem with degenerate thermal conductivity and metallic conduction. Conference Publications, 2007, 2007 (Special) : 446-455. doi: 10.3934/proc.2007.2007.446 |
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Lei Yang, Xiao-Ping Wang. Dynamics of domain wall in thin film driven by spin current. Discrete and Continuous Dynamical Systems - B, 2010, 14 (3) : 1251-1263. doi: 10.3934/dcdsb.2010.14.1251 |
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Chunqing Lu. Existence and uniqueness of single spike solution of the carrier-pearson problem. Conference Publications, 2001, 2001 (Special) : 259-264. doi: 10.3934/proc.2001.2001.259 |
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María Teresa González Montesinos, Francisco Ortegón Gallego. The evolution thermistor problem under the Wiedemann-Franz law with metallic conduction. Discrete and Continuous Dynamical Systems - B, 2007, 8 (4) : 901-923. doi: 10.3934/dcdsb.2007.8.901 |
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Ali Fuat Alkaya, Dindar Oz. An optimal algorithm for the obstacle neutralization problem. Journal of Industrial and Management Optimization, 2017, 13 (2) : 835-856. doi: 10.3934/jimo.2016049 |
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Shuyu Gong, Ziwei Zhou, Jiguang Bao. Existence and uniqueness of viscosity solutions to the exterior problem of a parabolic Monge-Ampère equation. Communications on Pure and Applied Analysis, 2020, 19 (10) : 4921-4936. doi: 10.3934/cpaa.2020218 |
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Taebeom Kim, Sunčica Čanić, Giovanna Guidoboni. Existence and uniqueness of a solution to a three-dimensional axially symmetric Biot problem arising in modeling blood flow. Communications on Pure and Applied Analysis, 2010, 9 (4) : 839-865. doi: 10.3934/cpaa.2010.9.839 |
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Mikhail D. Surnachev, Vasily V. Zhikov. On existence and uniqueness classes for the Cauchy problem for parabolic equations of the p-Laplace type. Communications on Pure and Applied Analysis, 2013, 12 (4) : 1783-1812. doi: 10.3934/cpaa.2013.12.1783 |
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Joachim Naumann. On the existence of weak solutions of an unsteady p-Laplace thermistor system with strictly monotone electrical conductivities. Discrete and Continuous Dynamical Systems - S, 2017, 10 (4) : 837-852. doi: 10.3934/dcdss.2017042 |
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Juan J. Manfredi, Julio D. Rossi, Stephanie J. Somersille. An obstacle problem for Tug-of-War games. Communications on Pure and Applied Analysis, 2015, 14 (1) : 217-228. doi: 10.3934/cpaa.2015.14.217 |
[15] |
Takeshi Fukao, Masahiro Kubo. Time-dependent obstacle problem in thermohydraulics. Conference Publications, 2009, 2009 (Special) : 240-249. doi: 10.3934/proc.2009.2009.240 |
[16] |
Song Wang. Numerical solution of an obstacle problem with interval coefficients. Numerical Algebra, Control and Optimization, 2020, 10 (1) : 23-38. doi: 10.3934/naco.2019030 |
[17] |
Christos V. Nikolopoulos, Georgios E. Zouraris. Numerical solution of a non-local elliptic problem modeling a thermistor with a finite element and a finite volume method. Conference Publications, 2007, 2007 (Special) : 768-778. doi: 10.3934/proc.2007.2007.768 |
[18] |
Leonardo Kosloff, Tomas Schonbek. Existence and decay of solutions of the 2D QG equation in the presence of an obstacle. Discrete and Continuous Dynamical Systems - S, 2014, 7 (5) : 1025-1043. doi: 10.3934/dcdss.2014.7.1025 |
[19] |
Elder J. Villamizar-Roa, Elva E. Ortega-Torres. On a generalized Boussinesq model around a rotating obstacle: Existence of strong solutions. Discrete and Continuous Dynamical Systems - B, 2011, 15 (3) : 825-847. doi: 10.3934/dcdsb.2011.15.825 |
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H. Gajewski, I. V. Skrypnik. To the uniqueness problem for nonlinear parabolic equations. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 315-336. doi: 10.3934/dcds.2004.10.315 |
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