DOI: 10.1093/qmath/haag029 ISSN: 0033-5606
Nonlinear mathematical physics equations via p -regularity theory
Beata Medak, Alexey A Tret’yakovAbstract
The paper studies the existence of solutions for certain types of nonlinear heat transfer equations and nonlinear Navier–Stokes equations based on the theory of p-regularity and its most important result, namely the Generalized Lyusternik Theorem. We present this theorem using a sequence of supporting lemmas and provide a detailed procedure for finding solutions to the above equations, along with explicit formulas for these solutions.