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Application to semilinear initial-boundary value problems
1991This chapter is devoted to the semigroup approach to a class of initialboundary value problems for semilinear parabolic differential equations. We prove Theorem 1.5 by using the theory of fractional powers of analytic semigroups (Theorems 10.1 and 10.2). To do this, we verify that all the conditions of Theorem 2.8 are satisfied.
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The Initial-Boundary-Value Problems in the Theory of Micropolar Fluids
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1978AbstractThe author considers the existence of solutions of the initial‐boundary‐value problem for the equations which describe the flow of incompressible micropolar fluids, by using a related, simpler set of equations and then taking a limit.
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Initial-boundary value problems on the sphere
2016In this chapter, we consider classes of fluid flow problems on the sphere and in ball shells with given initial and boundary value conditions. We focus our attention on the corresponding Navier-Stokes equations and their linearizations – the socalled forecasting equations.
Klaus Gürlebeck +2 more
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The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
Communications in Partial Differential Equations, 2006Justin Holmer
exaly