Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems

JOURNAL ARTICLE published 2023 in Discrete and Continuous Dynamical Systems - B

Authors: Yida Ding | Department of Mathematics, University of Wisconsin-Madison, United States of America | Abhishek Deshpande | Gheorghe Craciun | Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology Hyderabad, India | Department of Mathematics and Department of Biomolecular Chemistry, University of Wisconsin-Madison, United States of America

Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria

JOURNAL ARTICLE published 2021 in Discrete & Continuous Dynamical Systems - B

Authors: Gheorghe Craciun | ,Department of Mathematics and Department of Biomolecular Chemistry, University of Wisconsin-Madison | Jiaxin Jin | Casian Pantea | Adrian Tudorascu | ,Department of Mathematics, University of Wisconsin-Madison | ,Department of Mathematics, West Virginia University

Notes on the values of volume entropy of graphs

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

Authors: Wooyeon Kim | ,Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, USA | Seonhee Lim | ,Department of Mathematical Sciences, Seoul National University, Seoul, Republic of Korea

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

Some properties of ergodic attractors for controlled dynamical systems

JOURNAL ARTICLE published 1998 in Discrete & Continuous Dynamical Systems - A

Authors: Mariko Arisawa | ,Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706 | Hitoshi Ishii | ,Department of Mathematics, Tokyo Metropolitan University, Hachioji-shi,Tokyo 192-03

Discontinuous solutions for Hamilton-Jacobi equations: Uniqueness and regularity

JOURNAL ARTICLE published 2003 in Discrete & Continuous Dynamical Systems - A

Authors: Gui-Qiang Chen | ,Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208-2730 | Bo Su | ,Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706

A viscous approximation for a multidimensional unsteady Euler flow: Existence theorem for potential flow

JOURNAL ARTICLE published 2003 in Discrete & Continuous Dynamical Systems - A

Authors: Gui-Qiang Chen | ,Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208-2730 | Bo Su | ,Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706

Shadowing chains of collision orbits

JOURNAL ARTICLE published 2006 in Discrete & Continuous Dynamical Systems - A

Authors: Sergey V. Bolotin | ,Department of Mathematics, University of Wisconsin, Madison

Chaotic trajectories for natural systems on a torus

JOURNAL ARTICLE published 2003 in Discrete & Continuous Dynamical Systems - A

Authors: M. L. Bertotti | ,Department of Mathematics and Applications, University of Palermo, Palermo | Sergey V. Bolotin | ,Department of Mathematics, University of Wisconsin, Madison

Characterization of isoperimetric sets inside almost-convex cones

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

Authors: Eric Baer | ,Department of Mathematics, University of Wisconsin Madison, 480 Lincoln Dr, Madison, WI 53706, USA | Alessio Figalli | ,The University of Texas at Austin, Mathematics Department, 2515 Speedway Stop C1200, Austin, TX 78712, USA

Global regularization for the $n$-center problem on a manifold

JOURNAL ARTICLE published 2002 in Discrete & Continuous Dynamical Systems - A

Authors: Sergey V. Bolotin | ,Department of Mathematics, University of Wisconsin, Madison | Piero Negrini | ,Department of Mathematics, La Sapienza, University of Rome

Weighted low-regularity solutions of the KP-I initial-value problem

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

Authors: J. Colliander | ,Department of Mathematics University of Toronto, 100 St. George St, Room 4072 Toronto, Ontario M5S 3G3 | A. D. Ionescu | C. E. Kenig | Gigliola Staffilani | ,Department of Mathematics University of Wisconsin – Madison, 480 Lincoln Drive Madison, WI 53706 | ,Department of Mathematics, University of Chicago, IL 60637 | ,Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307

Confinement for repulsive-attractive kernels

JOURNAL ARTICLE published 2014 in Discrete & Continuous Dynamical Systems - B

Authors: Daniel Balagué | ,Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205 | José A. Carrillo | Yao Yao | ,Department of Mathematics, Imperial College, London, London SW7 2AZ | ,Department of Mathematics, University of Wisconsin, Madison, WI 53706

Variational approach to second species periodic solutions of Poincaré of the 3 body problem

JOURNAL ARTICLE published 2013 in Discrete & Continuous Dynamical Systems - A

Authors: Sergey V. Bolotin | ,Department of Mathematics, University of Wisconsin, Madison | Piero Negrini | ,Department of Mathematics, La Sapienza, University of Rome

Preface: Recent developments related to conservation laws and Hamilton-Jacobi equations

JOURNAL ARTICLE published 2018 in Discrete & Continuous Dynamical Systems - S

Authors: Laura Caravenna | ,Department of Mathematics Tullio Levi Civita, University of Padova, Italy | Annalisa Cesaroni | Hung Vinh Tran | ,Department of Statistical Sciences, University of Padova, Italy | ,Department of Mathematics, University of Wisconsin Madison, USA

The generic behavior of solutions to some evolution equations: Asymptotics and Sobolev norms

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

Authors: Sergey A. Denisov | ,University of Wisconsin-Madison, Mathematics Department, 480 Lincoln Dr. Madison, WI 53706-1388

Infinite superlinear growth of the gradient for the two-dimensional Euler equation

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

Authors: Sergey A. Denisov | ,University of Wisconsin-Madison, Mathematics Department, 480 Lincoln Dr. Madison, WI 53706-1388

A note on partially hyperbolic attractors: Entropy conjecture and SRB measures

JOURNAL ARTICLE published 2015 in Discrete & Continuous Dynamical Systems - A

Authors: Peidong Liu | ,LMAM, School of Mathematical Sciences, Peking University, Beijing 100871 | Kening Lu | ,Department of Mathematics, Brigham Young University, Provo, Utah 84602

A nondegeneracy condition for a semilinear elliptic system and the existence of 1- bump solutions

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

Authors: Piero Montecchiari | ,Dipartimento di Ingegneria Civile, Edile e Architettura, Università Politecnica delle Marche, Via brecce bianche, Ancona, I-60131, Italy | Paul H. Rabinowitz | ,Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin, 53706, USA

Enumeration of 3- and 4-Wilf classes of four 4-letter patterns

JOURNAL ARTICLE published 9 October 2018 in Notes on Number Theory and Discrete Mathematics

Authors: David Callan | Department of Statistics, University of Wisconsin | Toufik Mansour | Department of Mathematics, University of Haifa