Simetrias de Lie e leis de conservação do sistema de Lane-Emden

• Processo: 11/19089-6
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Data de Início da vigência: 01 de março de 2012
• Data de Término da vigência: 28 de fevereiro de 2014
• Área do conhecimento: Ciências Exatas e da Terra - Matemática - Matemática Aplicada
• Pesquisador responsável: Igor Leite Freire
• Beneficiário: Igor Leite Freire
• Instituição Sede: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brasil
• Assunto(s): Simetria
• Palavra(s)-Chave do Pesquisador: Leis de conservação | Simetrias de Lie | Simetrias de Noether | Sistema de Lane-Emden | Teorema de Ibragimov | Equações diferenciais

Resumo

Neste projeto encontraremos as simetrias de Lie, simetrias de Noether e leis de conservação do sistema de Lane-Emden. (AU)

Publicações científicas

(20)

(Referências obtidas automaticamente do Web of Science e do SciELO, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores)

FREIRE, IGOR LEITE; SANTOS SAMPAIO, JULIO CESAR. On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 19, n. 2, SI, p. 350-360, FEB 2014. (11/19089-6, 11/23538-0)

SANTOS SAMPAIO, JULIO CESAR; FREIRE, IGOR LEITE. Nonlinear Self-Adjoint Classification of a Burgers-KdV Family of Equations. Abstract and Applied Analysis, 2014. (11/19089-6, 11/23538-0)

BOZHKOV, YURI; FREIRE, IGOR LEITE; IBRAGIMOV, NAIL H.. Group analysis of the Novikov equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 33, n. 1, p. 193-202, APR 2014. (11/19089-6)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Symmetry methods in mathematical modeling of Aedes aegypti dispersal dynamics. Nonlinear Analysis: Real World Applications, v. 14, n. 3, p. 1300-1307, JUN 2013. (11/19089-6, 11/20072-0)

FREIRE, IGOR LEITE; DA SILVA, PRISCILA LEAL; TORRISI, MARIANO. Lie and Noether symmetries for a class of fourth-order Emden-Fowler equations. Journal of Physics A-Mathematical and Theoretical, v. 46, n. 24, JUN 21 2013. (10/10259-3, 11/19089-6, 11/20072-0)

IGOR LEITE FREIRE. New conservation laws for inviscid Burgers equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 31, n. 3, p. 559-567, 2012-00-00. (11/19089-6)

Y. BOZHKOV; I.L. FREIRE. Remarks on symmetry analysis of Lane-Emden systems of dimensions one and two. TEMA (São Carlos), v. 14, n. 2, p. 245-254, 2013-10-11. (11/19089-6)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Similarity solutions for systems arising from an Aedes aegypti model. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 19, n. 4, p. 872-879, APR 2014. (11/19089-6, 11/20072-0)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Symmetry methods in mathematical modeling of Aedes aegypti dispersal dynamics. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 14, n. 3, p. 8-pg., 2013-06-01. (11/20072-0, 11/19089-6)

FREIRE, IGOR LEITE; SANTOS SAMPAIO, JULIO CESAR. On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 19, n. 2, p. 11-pg., 2014-02-01. (11/23538-0, 11/19089-6)

SANTOS SAMPAIO, JULIO CESAR; FREIRE, IGOR LEITE. Nonlinear Self-Adjoint Classification of a Burgers-KdV Family of Equations. Abstract and Applied Analysis, v. N/A, p. 7-pg., 2014-01-01. (11/23538-0, 11/19089-6)

FREIRE, IGOR LEITE. New conservation laws for inviscid Burgers equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 31, n. 3, p. 9-pg., 2012-01-01. (11/19089-6)

NAZ, REHANA; FREIRE, IGOR LEITE; NAEEM, IMRAN. Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations. Abstract and Applied Analysis, 2014. (11/19089-6)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Weak Equivalence Transformations for a Class of Models in Biomathematics. Abstract and Applied Analysis, 2014. (11/19089-6, 11/20072-0)

TRACINA, RITA; LEITE FREIRE, IGOR; TORRISI, MARIANO. Nonlinear self-adjointness of a class of third order nonlinear dispersive equations. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 32, p. 225-233, MAR 2016. (11/19089-6, 14/05024-8)

FREIRE, IGOR LEITE. New classes of nonlinearly self-adjoint evolution equations of third- and fifth-order. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 18, n. 3, p. 493-499, MAR 2013. (11/19089-6)

BOZHKOV, YURI; FREIRE, IGOR LEITE. On the Lane-Emden system in dimension one. Applied Mathematics and Computation, v. 218, n. 21, p. 10762-10766, JUL 1 2012. (11/19089-6)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Weak Equivalence Transformations for a Class of Models in Biomathematics. Abstract and Applied Analysis, v. N/A, p. 9-pg., 2014-01-01. (11/20072-0, 11/19089-6)

NAZ, REHANA; FREIRE, IGOR LEITE; NAEEM, IMRAN. Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations. Abstract and Applied Analysis, v. N/A, p. 15-pg., 2014-01-01. (11/19089-6)

BOZHKOV, YURI; FREIRE, IGOR LEITE; IBRAGIMOV, NAIL H.. Group analysis of the Novikov equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 33, n. 1, p. 10-pg., 2014-04-01. (11/19089-6)