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GLOBAL REGULARITY FOR A RADIATION HYDRODYNAMICS MODEL WITH VISCOSITY AND THERMAL CONDUCTIVITY

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (6)

In this paper, we study the global wellposedness of a radiation hydrodynamics model with viscosity and thermal conductivity. It is now well-understood......

INCOMPRESSIBLE LIMIT OF A POROUS MEDIA EQUATION WITH BISTABLE AND MONOSTABLE REACTION TERM

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (5)

We study the incompressible limit of the porous medium equation with a reaction term that is nonmonotone with respect to the pressure variable. More s......

NON-UNIQUENESS THEORY IN SAMPLED STFT PHASE RETRIEVAL

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (5)

The reconstruction of a function from its spectrogram (i.e., the absolute value of its short-time Fourier transform (STFT)) arises as a key problem in......

UNCONDITIONAL REGULARITY AND TRACE RESULTS FOR THE ISENTROPIC EULER EQUATIONS WITh bfitgamma 3

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (5)

In this paper, we study the regularity properties of bounded entropy solutions to the isentropic Euler equations with \gamma = 3. First, we use a blow......

UNIQUENESS OF A MINIMIZER FOR A VARIATIONAL PROBLEM RELATED TO THE DISPERSION MANAGED NONLINEAR SCHRODINGER EQUATION

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (4)

We consider a nonlocal and nonlinear minimization problem, with a parameter > 0, related to the dispersion managed nonlinear Schro\dinger equation ......

A REDUCED MODEL FOR PLATES ARISING AS LOW-ENERGY Γ-LIMIT IN NONLINEAR MAGNETOELASTICITY

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (4)

We investigate the problem of dimension reduction for plates in nonlinear magnetoelasticity. The model features a mixed Eulerian-Lagrangian formulatio......

GLOBAL-IN-TIME REGULAR UNIQUE SOLUTIONS WITH POSITIVE TEMPERATURE TO ONE-DIMENSIONAL THERMOELASTICITY

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (6)

We construct a unique regular solution to the minimal nonlinear system of onedimensional thermoelasticity. The obtained solution has a positive temper......

THREE-WAVE INTERACTION EQUATIONS: CLASSICAL AND NONLOCAL

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (4)

A discussion of three-wave interaction systems with rapidly decaying data is provided. Included are the classical and two nonlocal three-wave interact......

BOUNDARY VORTICITY ESTIMATES FOR NAVIER-STOKES AND APPLICATION TO THE INVISCID LIMIT

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (4)

Consider the steady solution to the incompressible Euler equation (u) over bar = Ae(1) in the periodic tunnel Omega = Td-1 x (0, 1) in dimension d = 2......

POSITIVE STEADY-STATE SOLUTIONS FOR A CLASS OF PREY-PREDATOR SYSTEMS WITH INDIRECT PREY-TAXIS

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (6)

This article is concerned with a class of prey-predator systems with indirect prey taxis, which means the stimulus released by the prey causes the dir......

LARGE | k| BEHAVIOR FOR THE REFLECTION COEFFICIENT FOR DAVEY-STEWARTSON II EQUATIONS

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (5)

The study of complex geometric optics solutions to a system of d-bar equations appearing in the context of electrical impedance tomography and the sca......

AN INTERFACE FORMULATION OF THE LAPLACE-BELTRAMI PROBLEM ON PIECEWISE SMOOTH SURFACES

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (6)

The Laplace-Beltrami problem on closed surfaces embedded in three dimensions arises in many areas of physics, including molecular dynamics (surface di......

A HELE-SHAW LIMIT WITH A VARIABLE UPPER BOUND AND DRIFT

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (5)

We investigate a generalized Hele--Shaw equation with a source and drift terms where the density is constrained by an upper-bound density constraint t......

EIGENFUNCTIONS LOCALISED ON A DEFECT IN HIGH-CONTRAST RANDOM MEDIA

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (6)

We study the properties of eigenvalues and corresponding eigenfunctions generated by a defect in the gaps of the spectrum of a high-contrast random op......

ERRATUM: LIPSCHITZ STABILITY FOR BACKWARD HEAT EQUATION WITH APPLICATION TO FLUORESCENCE MICROSCOPY (vol 53, pg 5948, 2021)

期刊: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023; 55 (3)

The purpose of this erratum is to point out an error in Theorem 1.3 of [SIAM J. Math. Anal., 53 (2021), pp. 5948-5978] that results in the invalidity ......

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