Authors prove Caccioppoli inequalities, local boundedness, Hölder continuity, weak Harnack inequalities, and expansion of positivity for weak solutions of mixed fractional superposition operators.
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Global-in-time classical solutions exist for the 1D BNSF system with large initial data where specific volume and temperature start positive and bounded away from zero.
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Regularity of superposition operators of mixed fractional order
Authors prove Caccioppoli inequalities, local boundedness, Hölder continuity, weak Harnack inequalities, and expansion of positivity for weak solutions of mixed fractional superposition operators.
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Global Existence of Classical Solutions to Brenner-Navier-Stokes-Fourier System for Large Data
Global-in-time classical solutions exist for the 1D BNSF system with large initial data where specific volume and temperature start positive and bounded away from zero.