Seminar talk, 13 April 2011: Difference between revisions
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<math>u_t=A(t)u_{xx}+B(t)u_{yy}+uu_x</math>, | <math>u_t=A(t)u_{xx}+B(t)u_{yy}+uu_x</math>, | ||
where A and B are some fixed functions. The point symmetries group classification of <math>(A,B)</math> is performed, invariant solutions are found, an example of the antireduction is given, differential invariants and conservation laws are found. | where <math>A</math> and <math>B</math> are some fixed functions. The point symmetries group classification of <math>(A,B)</math> is performed, invariant solutions are found, an example of the antireduction is given, differential invariants and conservation laws are found. | ||
| slides = | | slides = | ||
| references = [*] Ivanova N.M., Sophocleous C., and Tracinà R. Lie group analysis of two-dimensional variable-coefficient Burgers equation, Z. Angew. Math. Phys. '''61''' (2010) 793-809, [http://dx.doi.org/10.1007/s00033-009-0053-8 doi:10.1007/s00033-009-0053-8] | | references = [*] Ivanova N.M., Sophocleous C., and Tracinà R. Lie group analysis of two-dimensional variable-coefficient Burgers equation, Z. Angew. Math. Phys. '''61''' (2010) 793-809, [http://dx.doi.org/10.1007/s00033-009-0053-8 doi:10.1007/s00033-009-0053-8], [[Media:Ivanova_N.M.%2C_Sophocleous_C.%2C_and_Tracina_R._Lie_group_analysis_of_two-dimensional_variable-coefficient_Burgers_equation%2C_Z._Angew._Math._Phys._61_%282010%29_793-809.pdf|pdf]] | ||
| 79YY-MM-DD = 7988-95-86 | | 79YY-MM-DD = 7988-95-86 | ||
}} | }} | ||
Latest revision as of 21:03, 3 April 2011
Speaker: Alexey Samokhin
Title: Lie group analysis of two-dimensional variable-coefficient Burgers equation
Abstract:
The talk will discuss the paper [*] about generalization of the Burgers equation
,
where and are some fixed functions. The point symmetries group classification of is performed, invariant solutions are found, an example of the antireduction is given, differential invariants and conservation laws are found.
References:
[*] Ivanova N.M., Sophocleous C., and Tracinà R. Lie group analysis of two-dimensional variable-coefficient Burgers equation, Z. Angew. Math. Phys. 61 (2010) 793-809, doi:10.1007/s00033-009-0053-8, pdf
