Global Well Posedness of a Non-Linear Burgers Type Model
DOI:
https://doi.org/10.15381/pesquimat.v25i2.24334Keywords:
Nonlinear Burgers equation, periodic Sobolev spaces, regularity of the global solution, Semigroups theory, Fourier theory, Banach’s fixed point theorem, Extension principleAbstract
We study the well posedness global of the nonlinear Cauchy problem associated with the periodic one-dimensional Burgers equation
in the periodic Sobolev spaces Hsper. We do this using Semigroup theory, Fourier theory on periodic distributions and inmersions in such spaces
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Copyright (c) 2022 Luis Milla Garc´ıa, Yolanda Santiago Ayala
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