О РАЗРУШЕНИИ И О ГЛОБАЛЬНОМ СУЩЕСТВОВАНИИ СЛАБЫХ РЕШЕНИЙ ЗАДАЧИ КОШИ ДЛЯ ОДНОГО НЕЛИНЕЙНОГО УРАВНЕНИЯ ПСЕВДОПАРАБОЛИЧЕСКОГО ТИПА ArticleКаташева И.К., Корпусов М.О., Панин А.А.Вестник Московского университета. Серия 3: Физика. Астрономия. 2023. 2360103 с.
ON THE CRITICAL EXPONENT "INSTANTANEOUS BLOW-UP" VERSUS "LOCAL SOLUBILITY" IN THE CAUCHY PROBLEM FOR A MODEL EQUATION OF SOBOLEV TYPE ArticleKorpusov M.O., Panin A.A., Shishkov A.E.Izvestiya Mathematics. Том 85. 2021. С. 111-144
ON THE BLOW-UP OF THE SOLUTION AND ON THE LOCAL AND GLOBAL SOLVABILITY OF THE CAUCHY PROBLEM FOR A NONLINEAR EQUATION IN HÖLDER SPACES ArticleKorpusov M.O., Panin A.A.Journal of Mathematical Analysis and Applications. Том 504. 2021.
О КРИТИЧЕСКОМ ПОКАЗАТЕЛЕ “МГНОВЕННОЕ РАЗРУШЕНИЕ” VERSUS “ЛОКАЛЬНАЯ РАЗРЕШИМОСТЬ” В ЗАДАЧЕ КОШИ ДЛЯ МОДЕЛЬНОГО УРАВНЕНИЯ СОБОЛЕВСКОГО ТИПА ArticleКорпусов М.О., Панин А.А., Шишков А.Е.Известия Российской академии наук. Серия математическая. Том 85. 2021. С. 118-153
LOCAL SOLVABILITY AND A PRIORI ESTIMATES FOR CLASSICAL SOLUTIONS TO AN EQUATION OF BENJAMIN-BONA-MAHONY-BÜRGERS TYPE ArticleKorpusov M.O., Lukyanenko D.V., Panin A.A.Mathematical Methods in the Applied Sciences. 2020.
BLOW-UP FOR JOSEPH–EGRI EQUATION: THEORETICAL APPROACH AND NUMERICAL ANALYSIS ArticleKorpusov M.O., Lukyanenko D.V., Panin A.A.Mathematical Methods in the Applied Sciences. Том 43. 2020. С. 6771-6800
NUMERICAL DETERMINATION OF THE SINGULARITY ORDER OF A SYSTEM OF DIFFERENTIAL EQUATIONS ArticleBaddour Ali, Malykh M.D., Panin A.A., Sevastianov L.A.Discrete and Continuous Models and Applied Computational Science. Том 28. 2020. С. 17-34
INSTANTANEOUS BLOW-UP VERSUS LOCAL SOLVABILITY OF SOLUTIONS TO THE CAUCHY PROBLEM FOR THE EQUATION OF A SEMICONDUCTOR IN A MAGNETIC FIELD ArticleKorpusov M.O., Panin A.A.Singular Problems, Blow-up, and Regimes with Peaking in Nonlinear PDEs. 2019. С. 35-36
INSTANTANEOUS BLOW-UP VERSUS LOCAL SOLUBILITY OF THE CAUCHY PROBLEM FOR A TWO-DIMENSIONAL EQUATION OF A SEMICONDUCTOR WITH HEATING ArticleKorpusov M.O., Panin A.A.Известия Российской академии наук. Серия математическая. Том 83. 2019. С. 104-132
BLOW-UP OF SOLUTIONS OF A FULL NON-LINEAR EQUATION OF ION-SOUND WAVES IN A PLASMA WITH NON-COERCIVE NON-LINEARITIES ArticleKorpusov M.O., Lukyanenko D.V., Panin A.A., Yushkov E.V.Izvestiya Mathematics. Том 82. 2018. С. 283-317
ON THE BLOW-UP PHENOMENA FOR A 1-DIMENSIONAL EQUATION OF ION SOUND WAVES IN A PLASMA: ANALYTICAL AND NUMERICAL INVESTIGATION ArticleKorpusov M.O., Lukyanenko D.V., Panin A.A., Shlyapugin G.I.Mathematical Methods in the Applied Sciences. Том 41. 2018. С. 2906-2929
ON THE NONEXTENDABLE SOLUTION AND BLOW-UP OF THE SOLUTION OF THE ONE-DIMENSIONAL EQUATION OF ION-SOUND WAVES IN A PLASMA ArticleKorpusov M.O., Panin A.A.Mathematical Notes. Том 102. 2017. С. 350-360
INVESTIGATION OF THE MOVABLE SINGULARITIES BY MEANS OF THE FINITE DIffERENCE METHOD ArticlePanin A.A., Lukyanenko D.V., Malykh M.D.Problems of Mathematical Physics and Mathematical Modelling. 2017. С. 66-66a