Stability of solitary-wave solutions to the Hirota-Satsuma equation

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Jerry L. Bona | ,Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607 | Didier Pilod | ,UFRJ, Institute of Mathematics, Federal University of Rio de Janeiro, P.O. Box 68530, CEP: 21945-970, Rio de Janeiro, RJ

Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $mathbb{R}^2$

JOURNAL ARTICLE published 2008 in Discrete & Continuous Dynamical Systems - A

Authors: J. Colliander | ,Department of Mathematics, University of Toronto, Toronto, Ontario M5R 1P2 | M. Keel | Gigliola Staffilani | H. Takaoka | T. Tao | ,Department of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455 | ,Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307 | ,Department of Mathematics, Kobe University, Nada, Kobe, Hyogo | ,UCLA Mathematics Department, Box 951555, Los Angeles, CA 90095-1555

A Liouville theorem for solutions to the linearized Monge-Ampere equation

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Ovidiu Savin | ,Department of Mathematics, Columbia University, Columbia University, New York, NY 10027

Blowup rate estimates for the heat equation with a nonlinear gradient source term

JOURNAL ARTICLE published 2008 in Discrete & Continuous Dynamical Systems - A

Authors: Jong-Shenq Guo | ,Department of Mathematics, National Taiwan Normal University, 88, S-4, Ting Chou Road, Taipei 11677 | Bei Hu | ,Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556

Traveling wave solutions for a reaction diffusion equation with double degenerate nonlinearities

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Xiaojie Hou | ,Department of Mathematics and Statistics, University of North Carolina at Wilmington, Wilmington, NC 28403 | Yi Li | Kenneth R. Meyer | ,Department of Mathematics, The University of Iowa, Iowa City, IA 52242 | ,Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221

On a class of infinite transition solutions for an Allen-Cahn model equation

JOURNAL ARTICLE published 2008 in Discrete & Continuous Dynamical Systems - A

Authors: Paul H. Rabinowitz | ,Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706 | Ed Stredulinsky | ,Department of Mathematics, University of Wisconsin-Rock County, Janesville, WI 53546

Traveling wave solutions and its stability for 3D Ginzburg-Landau type equation

JOURNAL ARTICLE published 2011 in Discrete & Continuous Dynamical Systems - B

Authors: Shujuan Lü | ,School of Mathematics and Systems Science & LMIB, Beijing University of Aeronautics and Astronautics, Beijing, 100191 | Chunbiao Gan | Baohua Wang | Linning Qian | Meisheng Li | ,Department of Mechanical Engineering, Zhejiang University, Hangzhou 310027 | ,School of Mathematics and Systems Science, Beijing University of Aeronautics-Astronautics, Beijing 100191

Eventual regularization of the slightly supercritical fractional Burgers equation

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Chi Hin Chan | ,Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, Minneapolis, MN 55455-0134 | Magdalena Czubak | Luis Silvestre | ,Department of Mathematics, University of Toronto, 40 St. George St. Toronto, Ontario, M5S 2E4 | ,Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637

Decay estimation for positive solutions of a $gamma$-Laplace equation

JOURNAL ARTICLE published 2011 in Discrete & Continuous Dynamical Systems - A

Authors: Yutian Lei | ,School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210097 | Congming Li | Chao Ma | ,Department of Applied Mathematics, University of Colorado at Boulder | ,Department of Mathematics, University of Colorado at Boulder, Boulder, CO 80309

Exact/approximate controllability of thermoelastic plates with variable thermal coefficients

JOURNAL ARTICLE published 2001 in Discrete & Continuous Dynamical Systems - A

Authors: M. Eller | ,Department of Mathematics, Georgetown University, Washington, DC 20057 | Roberto Triggiani | ,Department of Mathematics, University of Virginia, P.O. Box 400137, Charlottesville, VA 22904

Boundary switch on/off control approach to simultaneous identification of diffusion coefficient and initial state for one-dimensional heat equation

JOURNAL ARTICLE published 2020 in Discrete & Continuous Dynamical Systems - B

Authors: Zhi-Xue Zhao | ,College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China | Mapundi K. Banda | Bao-Zhu Guo | ,Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa | ,School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China | ,School of Computer Science and Applied Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa

On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation

JOURNAL ARTICLE published 2012 in Discrete & Continuous Dynamical Systems - S

Authors: Tetsu Mizumachi | ,Faculty of Mathematics, Kyushu University, Fukuoka 819-0395 | Dmitry Pelinovsky | ,Department of Mathematics, McMaster University, Hamilton, Ontario L8S 4K1

Global weak solutions to the Camassa-Holm equation

JOURNAL ARTICLE published 2008 in Discrete & Continuous Dynamical Systems - A

Authors: Zhenhua Guo | ,Center for Nonlinear Studies and Department of Mathematics, Northwest University, Xi’an 710069 | Mina Jiang | Zhian Wang | Gao-Feng Zheng | ,Department of Mathematics, Huazhong Normal University, Wuhan, 430079 | ,Department of Mathematical and Statistical Sciences, 632CAB, University of Alberta, Edmonton, Alberta T6G 2G1

Asymptotics for a generalized Cahn-Hilliard equation with forcing terms

JOURNAL ARTICLE published 2011 in Discrete & Continuous Dynamical Systems - A

Authors: Dimitra Antonopoulou | ,Department of Applied Mathematics, University of Crete, 714 09 Heraklion | Georgia Karali | Georgios T. Kossioris | ,Department of Mathematics, University of Crete, GR-714 09 Heraklion, Crete

A space-time nonlocal traffic flow model: Relaxation representation and local limit

JOURNAL ARTICLE published 2023 in Discrete and Continuous Dynamical Systems

Authors: Qiang Du | Department of Applied Physics and Applied Mathematics and Data Science Institute, Columbia University, USA | Kuang Huang | James Scott | Wen Shen | Department of Applied Physics and Applied Mathematics, Columbia University, USA | Department of Mathematics, Pennsylvania State University, USA

On space-time periodic solutions of the one-dimensional heat equation

JOURNAL ARTICLE published 2020 in Discrete & Continuous Dynamical Systems - A

Authors: Dong-Ho Tsai | ,Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan | Chia-Hsing Nien | ,Department of Financial Engineering, Providence University, Taichung 43301, Taiwan

Models & measures of mixing & effective diffusion

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Zhi Lin | ,Institute for Mathematics & Its Applications, University of Minnesota, Minneapolis, MN 55455 | Katarína Boďová | Charles R. Doering | ,Department of Applied Mathematics & Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University, 84248 Bratislava | ,Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043

Homoclinic orbits of the FitzHugh-Nagumo equation: The singular-limit

JOURNAL ARTICLE published 2009 in Discrete & Continuous Dynamical Systems - S

Authors: John Guckenheimer | ,Mathematics Department, Cornell University, Ithaca, NY 14853 | Christian Kuehn | ,Center for Applied Mathematics, Cornell University, Ithaca, NY 14853

On the oscillation behavior of solutions to the one-dimensional heat equation

JOURNAL ARTICLE published 2019 in Discrete & Continuous Dynamical Systems - A

Authors: Dong-Ho Tsai | ,Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan | Chia-Hsing Nien | ,Department of Financial Engineering, Providence University, Taichung 43301, Taiwan

Long-time stability of small FPU solitary waves

JOURNAL ARTICLE published 2017 in Discrete & Continuous Dynamical Systems - A

Authors: Amjad Khan | ,Department of Applied Mathematics, Western University, London, ON, N6A 3K7, Canada | Dmitry E. Pelinovsky | ,Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada